Answers
a. The motion of the bus in each part is given as follows:
Part 1: Going with non-uniform acceleration.Part 2: Stopped.Part 3: Going with non-uniform acceleration.Part 4: Stopped.Part 5: Returning home, with non-uniform acceleration.b. The graph is classified as follows:
Increasing: Part 1 and Part 3.Constant: Part 2 and Part 4.Decreasing: Part 5.c. The graph is non-linear.
What is the graph?The relation graphed is defined as follows:
Distance x time -> distance as a function of time.
The origin on the graph is the point that the Bus starts and then returns, at the end of the part 5.
Then the graph is also non-linear, as the position changes without linearity, meaning that the acceleration is not uniform.
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Related Questions
A water line enters a house 2.0m below ground. A smaller diameter pipe carries water to a faucet in the house. Water flows at 2.0m in the main line and 7.0m out of the second-floor faucet. Take the density of water to be 1.0 ×10^-3 ^3 If the pressure in the line is 2.00 × 10^5 and the pressure at the faucet is 1.40 × 10^5 , how far above ground is the faucet?
Answers
The difference in pressure between the main line and the second floor is 91,100 Pa.
How to calculate difference in pressure between main line and second floor ?Bernoulli's theorem states that a drop in fluid pressure is connected with an increase in fluid velocity if the fluid flows horizontally so that there is no change in gravitational potential energy.
On the basis of the idea of energy conservation, Bernoulli's principle is explained. According to this law, the total amount of mechanical energy in a fluid travelling along a streamline will be the same at every point along that streamline in a steady flow.
Given ,
The settings provided;
The main line's water speed is 2.0 m/s,
The second floor's water speed is 7.0 m/s,
The water's density is 1.0 x 103 kg/m3.
The following formula can be used to compute the pressure difference between the main line and the second level using Bernoulli's equation:
[tex]p_1+1/2pv2/1+pgh1+ = p2+1/2pv2/2+pgh_2[/tex]
[tex]p1- p2 = 1/2pv2/2 - 1/2pv2/1 + pgh2 - pgh1[/tex]
[tex]p1 - p2 = 1/2p(v2/2 - v 2/1) + pg (h2- h1)[/tex]
p1 - p2 = 1/2(1000)(7² - 2²) + (1000 ×9.8)(5 - (-2))
p1 - p2 = 91100 pa
Thus, the difference in pressure between the main line and the second floor is 91,100 Pa.
The complete question is : A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 × 103 kg/m 3 . The difference in pressure between the main line and the second floor is _______.
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The box-and-whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city.
Use the box-and-whisker plots to answer the questions.
Answers
Comparing the box-and-whisker plots for both data of each city, we have:
a. City B had more noon temperatures above 76°F
b. Both had the same interquartile range.
c. City B had a larger median noon temperature
d. City A had the largest noon temperature.
How to Analyze a Box-and-whisker Plot?The box-and-whisker plot has the following values it displays about a data distribution:
Minimum value: This is the value at the beginning of the left whisker.Lower quartile (Q1): This is indicated by the beginning of the edge of the box, 25% of the data are below this point.Median value: the line that divides the box is the median value which is 50% of the data.Upper quartile (Q3): This is indicated by the end of the edge of the box, 75% of the data are below this point.Maximum value: This is the largest data point and is located at the end of the right whisker.Interquartile range = Q3 - Q1
Analyzing the box-and-whisker plots given above, we have the following to conclude:
a. City B had more noon temperatures above 76°F because about more than 50% of the data are above 76°F.
b. Interquartile range for City A = Q3 - Q1 = 75 - 68 = 7
Interquartile range for City B = Q3 - Q1 = 80 - 73 = 7
Both had the same interquartile range.
c. Median for City A = 70
Median for City B = 78
City B had a larger median noon temperature
d. City A had the largest noon temperature of 85.
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What are the 2 characteristics of a regular polygon?
Answers
Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.
Given that,
We have to find what are the 2 characteristics of a regular polygon.
We know that,
What are the characters of a regular polygon?Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.
Regular triangles and quadrilaterals are given unique names, such as squares and equilateral triangles.
Therefore, Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.
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Find the area of the shaded region as a simplified expression 5x + 3 * 2x
Answers
Answer:11x
Step-by-step explanation:
What is the length of 1 ton AC?
Answers
The length of 1 on AC is 54.6 cm.
Given:
Let x be the length
we know that,
AC dimensions = 54.6 * 175.7 * 85.6 cm
It is the volume = l * b * h
Volume :
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Length :
Length is defined as the measurement or extent of something from end to end.
Breadth :
The breadth of something is the distance between its two sides.
On comparing both
Length l = 54.6 cm
Breadth b = 175.7 cm
Height h = 85.6 cm
Therefore the length of 1 on AC is 54.6 cm.
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In a clothing store, a shirt that sells for $15 is marked “10% off.” What is the discount? What is the sale price of the shirt?
Answers
Answer:
$13.50
Step-by-step explanation:
If the shirt is 10% off, that means the shirt is 90% of the original cost, which is $15.
If the shirt is 90% of the original cost which is 15, that means that we must turn the percentage into a decimal (0.9) and multiply it by 15.
0.9*15 = 13.5
The sale price of the shirt is $13.50
Functions are in the world all around us. You have used functions to model phenomena and to make predictions. Mathematically, you can add, subtract, multiply, and divide functions, and you can also create a composition of functions.
A composition of functions occurs when you evaluate one function using another function, or even with the same function. A composition of functions is useful when a change in one function will create a change in another function, which, in turn, affects a third function. For example, suppose that humans build a housing development on land that was previously used as a corn field. This change in land usage causes the number of birds in the area to decrease, which causes the number of mosquitos to increase. You could model the increase in the number of mosquitoes as a function of the number of birds in the area, which is a function of the number of humans that live on that land.
You can also use the composition of functions to show that one function is the inverse of another function. Recall that the graphs of inverse functions are reflections of each other over the line. Think about these ideas as you read through the scenario below.
Last night it started raining as Hiba was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor. The water created a circular puddle on the floor. At any time, t, in minutes, the radius of the puddle increases by 0.1 cm. The rain continued through the night, but stopped by the time the morning shift arrived at the store at 7 am.
When the employees arrived at work, the leak and water puddle were discovered. The employees cleaned up the water puddle and placed a tall circular bucket underneath the leak, which was still slowly dripping. The capacity of the bucket can be expressed as. By 10 am, the amount of water in the bucket is.
Answers
Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division.
What is composition function ?The procedure known as "function composition" in mathematics takes two functions, f and g, and creates a function, h = g f, such that h(x) = g(f(x)). The combination of two functions to create a third function is known as function composition. Simply using the first function's output as the input for the second function is how it works.The function g is applied in this operation on the outcome of applying the function f to x. In other words, a function that maps x in domain X to g(f(x)) in codomain Z is produced by composing the functions f: X Y and g: Y Z. It makes sense that z would be a function of x if z were a function of y and y was a function of x. The resulting composite function is designated as (g f )(x) = g(f(x)) for all x in X, and is written as g f: X Z. [nb 1]Find the attachment of answer
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The graph of F is shown below evaluate each integral by interpreting it in terms of area
Answers
The answer to this question is after solving definite integration 0,1,-4,-10
What is Definite integration?
It is just basically Simple Integration with limits. In other words it is completely same as area under curve
Solution:
We will proceed by finding area under curve
Here we have to consider the area above x axis as positive and area under x axis as negative area
In First part +ve area and -ve area cancels each other hence answer is 0
In second part after cancellation only 1 square block above x axis remains whose area is 1 hence answer is 1
remaining 2 parts graph is completely below x axis hene area is negative therefore definite integeration will be negative
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27.5 percent of what is 13.75
Answers
Answer:
50Step-by-step explanation:
27.5 percent of what is 13.75
13.75 : 27.5 * 100 =
(13.75 * 100) : 27.5 =
1375 : 27.5 = 50
graph the system of equations below on a piece of paper. what is the solution y=x-1 y=3x+1
Answers
The intersection of these lines is the answer to the given system of equations. → (-1, -2)
Given the system of equations,
y = x - 1
y = 3x + 1
Now, equating both the given equations,
x - 1 = 3x + 1
3x - x = -2
2x = -2
x = -1
From, y = x - 1
y = -1 - 1
y = -2
The answer to the given system of equations is located at the intersection of these lines.
⇒ (-1, -2)
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How do you know △ ABC ≅ △ DEF explain?
Answers
We know that △ ABC ≅ △ DEF are congruent because AB corresponds to DE of another triangle, BC corresponds to EF and AC corresponds to DF.
According to the question,
We have the following information:
△ ABC ≅ △ DEF
Now, we know that this sign is used to show that the two triangles are congruent.
Now, we also know that in these two triangles, their corresponding sides will be equal. So, all the three sides of one triangle will be corresponding to the same sides in another triangle.
Hence, we know that △ ABC ≅ △ DEF are congruent because AB corresponds to DE of another triangle, BC corresponds to EF and AC corresponds to DF.
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What is a graph answer?
Answers
Answer:
In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
Hope this helps!
Represent the following statement on a number line: I have anywhere from $5 to $8 in my pocket.
Answers
The statement "I have anywhere from $5 to $8 in my pocket." has been represented on the number line shown in the image attached below.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Translating the statement, we have the following inequality:
Let the variable x represent the amount of money in pocket.
From $5 to $8 in my pocket = 5 ≤ x ≤ 8.
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Is centroid and Circumcentre same?
Answers
No, the centroid and Circumcentre are not same but it is same in equilateral triangle.
The intersection of a triangle's perpendicular bisectors is called the circumcenter.A triangle's circumcenter is a location that is equally spaced from each of its vertices.The centroid of a triangle is the location where its medians connect.
Triangle's centroid is always within it. The centroid of a triangle is its center of gravity in physical terms. If the triangle is evenly distributed around the plane's surface and you want to balance it by supporting it at only one point, you must do it near the center of gravity.Are the circumcenter and centroid at the same location? In the case of an equilateral triangle, they will both be.
Therefore, the centroid and Circumcentre are not same but it is same in equilateral triangle.
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Pedro vive cerca del bosque, el terreno de su propiedad ocupa 15 metros en total, su casa ocupa sólo 6 metros, tiene un huerto el cual ocupa 4 metros y el resto es un espacio donde puede disfrutar de la naturaleza ahí encuentra algunas clases de musgos que le dan un aspecto maravilloso al bosque.” ● Representa con fracciones el espacio que ocupa la casa, el espacio que ocupa el huerto y deduce qué fracción representa el resto del terreno, a lado de cada fracción realiza la representación gráfica de cada una, usando las herramientas como tablas o insertar formas en PowerPoint.
Answers
El espacio que ocupa la casa sería 6/15, el espacio que ocupa el huerto sería 4/15 y el espacio restante del terreno sería 5/15.
¿Cómo representar las fracciones del terreno?Para representar en forma de fracciones el área de los diferentes espacios del terreno de Pedro debemos tener en cuenta que el total tiene 15 metros. Adicionalmente, cuando representamos una fracción estamos informando cuántas unidades de un número x de unidades estamos utilizando. Por ejemplo, en este caso del total (15 metros) del terreno que tiene Pedro, él esta utilizando 6 metros para su casa. Esta fracción se representaría así:
6 / 15
Por otra parte, la fracción para representar el área del huerto de Pedro debe seguir los mismos lineamientos que la anterior, es decir en el numerador (número de la parte de arriba) ponemos el número de unidades que utilizamos y en el denominador (número de la parte de abajo) ponemos el número total de unidades disponibles. Entonces la fracción del huerto sería:
4 / 15
Por ultimo, para saber cuántas unidades quedan disponibles del terreno de Pedro, debemos restarle al total de terreno la cantidad de espacio que usamos:
15 - 4 - 6 = 5
De acuerdo con lo anterior, el espacio disponible serían 5 metros, que expresado en fraccionarios sería:
5 / 15
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What is the quadrant axis of 6 8?
Answers
The I quadrant will contain the point (6, 8). The number is in the I quadrant as a result.
What is Quadrant?
A quadrant is any one of the four divisions of the coordinate plane. Additionally, we refer to the sections as they are divided by the coordinate axes when we talk about the sections. The y-axis is situated on this up-down axis, and the x-axis is situated here. As you can see, it divides the coordinate space into four parts.
A point can be mathematically expressed as:
A(x, y )
The intersection of the coordinate axes divides the cartesian plane into four quadrants (x and y-axis).
(x, y )
In the first quadrant, the x and y coordinates are both positive.
(x, y)
Y is positive while x is negative in the second quadrant.
(-x, y)
The point will be located in the third quadrant if both x and y are equally negative.
(-x, -y)
The point will be located in the fourth quadrant if both x and y are positive.
(x, -y)
pointed out; A(6, 8)
The y-coordinate in the highlighted position is positive at (8), while the x-coordinate is negative at (6).
Remember that if the x-coordinate is negative and the y-coordinate is positive, the point is in the I quadrant.
As a result, the provided point (6, 8) is said to be in the I quadrant.
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Find the volume of a right cone that has height of 13.8m and a base with a circumference of 15.8m.
Answers
The volume of the cone is 91.05[tex]m^{3}[/tex]
What is a cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex. We can also define the cone as a pyramid which has a circular cross-section, unlike pyramid which has a triangular cross-section.
circumference of the base of a cone is same as circumference of a circle which is 2[tex]\pi[/tex]r
15.8 = 2[tex]\pi[/tex]r
make r subject of equation
r = [tex]\frac{15.8}{2\pi }[/tex]
r = 2.51m
Volume of a cone = 1/3 x [tex]\pi[/tex][tex]r^{2}h[/tex], but h =13.8m
volume = 1/3 x 3.142 x [tex](2.51)^{2}[/tex] x 13.8 which is 91.05[tex]m^{3}[/tex]
In conclusion the volume of the cone is 91.05[tex]m^{3}[/tex]
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What is the volume of the following rectangular prism? 4/3units 23/4units2 Volume ==equals units^3 3 cubed
Answers
The volume of the rectangular prism with length of 5 units, width of 4 units and height of 3 units is 60 unit³
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Volume is the amount of space occupied by a three dimensional side or object.
Let us assume that the rectangle prism have length of 5 units, width of 4 units and height of 3 units. Hence:
Volume of prism = length * width * height
Volume = 5 units * 4 units * 3 units = 60 unit³
The volume is 60 unit³
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Write the function for the graph of
g(x)
g(x)=[2x]
g(x)= [x]+2
g(x)= [x-2]
g(x)=[x]-2
Answers
The function of the graph is g(x) = [x]+2
What is linear function?A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of terms
y = output variable
x = input variable
m = slope
c = y intercept
The c from the graph is +2
m for points (1, 3) and (-3, -1)
= (-1 - 3) / (-3 - 1)
= -4/-4
= 1
substituting to the equation y = mx + c
y = x + 2
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GREETINGS NEED HELP ASAP!
Think about wether the diagram shown represents a function. then use the drop down menus to complete the statement about the diagram.
This_____represent a function because the_____ has two different _____
choices for first blank- does or does not
choices for second- x value 7, 11, -5, 2
choices for third- x values or y values
Answers
It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.
Given that,
In the picture we have a diagram
We have to find if the diagram is a function or not.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique types of relationships are the functions. When it comes to math, a function is represented as a rule that produces a different result for each input x.
Function is satisfy one-to-one and many-to-one.
So,
In the picture we can see
Input -2 to output 7 it is one-to-one
Input 7 to output 8 and 2 it is one-to-many
Input 11 and 2 1/3 to output 5 it is many-to-one
Therefore, It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.
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what is the measure of the base in the triangle below question 7 options 11 45 25 30
Answers
The measure of the base BC in the given triangle is (C) 25 units.
What is a triangle?A polygon with three edges and three vertices is called a triangle.
It is one of the fundamental geometric shapes.
The letter ABC stands for a triangle having the vertices A, B, and C.
In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
If all of the geometry is in the Euclidean plane, then all triangles are encompassed in a single plane, however, in higher-dimensional Euclidean spaces, this is no longer the case.
This article concerns triangles in Euclidean geometry, specifically the Euclidean plane unless otherwise stated.
So, the given triangle is an isosceles triangle with AB = AC.
Then get the value of x as follows:
AB = AC
4x + 1 = 2x + 23
4x - 2x = 23 - 1
2x = 22
x = 22/2
x = 11
Now, substitute x = 11 in 3x - 8 that is BC.
3x - 8
3(11) - 8
33 - 8
25
Therefore, the measure of the base BC in the given triangle is (C) 25 units.
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Correct question:
What is the measure of the base in the triangle below?
a. 11
b. 45
c. 25
d. 30
A person drives 120 kilometers in 2 hours. The distance traveled is proportional to the time taken. If the distance driven, in kilometers, is represented by d and the time taken, in hours, is represented by t, which equation could represent the relationship between d and t?
Answers
The equation that could represent the relationship between [d] and [t] is d = 60t.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have a person drives 120 kilometers in 2 hours. The distance traveled is proportional to the time taken.
We can write the equation that could represent the relationship between [d] and [t] with the help of the equation of a straight line.
y = mx + c
for c = 0
y = mx
m = 120/2
m = 60
So -
y = 60t
or
d = 60t
Therefore, the equation that could represent the relationship between [d] and [t] is d = 60t.
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What property describes the number sentence of 6 0 6?
Answers
The property that defines the number sentence 6 + 0 = 6 is Additive Identity Property.
Given,
6 + 0 = 6
We have to find the property that defines the number sentence;
Additive Identity Property;
Additive identity property says that if zero is added to any real number, the resultant would be the same real number.
Here,
6 + 0 = 6
In this instance, we have added 0 to a real number (6) and have received back the same real number (6).
That is,
Additive Identity Property is the property that defines the number sentence 6 + 0 = 6
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PLSSSSSSS HELPPPPPPPPP
Answers
Answer:
undefined
Step-by-step explanation:
since all the x are zero it’s undefined and when all y is zero it’s 0
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How do you find the equidistant point of a triangle?
Answers
The equidistant point of the triangle is point O , which is shown below.
In the question ,
we have to find the equidistant point in the triangle ,
We know that the equidistant point from the vertices of the triangle is the circumcenter ,
let the circumcenter be point O .
The perpendicular bisectors of the given triangle ABC are AC and BC that intersect at point O .
We have to prove that point O lies on the perpendicular bisector of AB and it is equidistant from A , B and C .
So ,we draw OA ,OB and OC .
we know that any point on perpendicular bisector of a segment is equidistant from endpoints of the segment.
that means , OA = OC and OC = OB .
which means OA = OB .
we also know that any point that is equidistant from end points of a segment lies on its perpendicular bisector.
So, we can say that point O is on the perpendicular bisector of AB .
and
Since OA = OB = OC , the point O is equidistant from A , B and C .
Therefore , the equidistant point of the triangle is the circumcenter (point O) .
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The cost of a cheese pizza is $11.99 plus $0.45 for each additional topping, t. Write an inequality that can be used to represent the cost of a pizza that is at most $16. What is the most number of toppings that a pizza can have and still be at most $16?
Answers
Answer: 11.99 + 0.45t ≤ 16 The most toppings you can have is 8
Step-by-step explanation:
11.99 + 0.45 is a basic cheese pizza plus one topping
11.99 + 0.45t represents a pizza plus an undefined amount of toppings
11.99 + 0.45t ≤ 16 The cost of the pizza has to be 16$ or less
Subtract 11.99 from each side
0.45t ≤ 4.01
Divide both sides by 0.45
t ≤ 8.9111
You can't have a partial number of toppings, and 9 is too much, so we round down to 8.
Twenty members of a health club who jog were asked how many miles they jog per week. The responses are to the right. Construct a stem-and-leaf display. For single digit data, use a stem of 0. 14 26 8 14 14 22 26 25 4 34 44 34 6 18 24 17 11 6 19 17
Answers
The steam-leaf display is shown as follows
How do stem and leaf displays work?A stem and leaf plot resembles a bar graph in appearance. The term stems from the fact that each number in the data is divided into a stem and a leaf. The number's final digit is not part of the stem. The number's leaf will always be one digit.
What are the advantages of stem and leaf display?Pencil and paper can be used to quickly create the plot. The plot can be used to determine the values of each individual data point. Since the stem is not repeated across multiple data points, the data is organized compactly.
The stem-and-leaf display for the given data is shown below followed by a detailed explanation.
0|358
1|25179476
2|73823
3|44
4|0
Note that it is often customary to organize the "leaf" values from lowest to highest as follows:
0|3578
1|12456779
2|23378
3|44
4|0
Each row's initial number is referred to as the stem, and the group of numbers that come after it as the leaves. The tenth position of the numerals is indicated by the stem. Therefore, a stem of 0 indicates a single-digit number, a stem of 1 indicates a number between 10 and 19, and so on. The leaves identify the numerals' unit position. If the number is 28, for instance, the stem and leaf are each two.
The data for stem 0 contains four one-digit numbers, which are 3, 5, 8 and 7 in appearance order. Therefore, the stem 0's leaves are 3, 5, 8, and 7.
Eight values between 10 and 19 may be found in the data for stem 1, and they are 12, 15, 11, 17, 19, 14, and 16 in that sequence. Therefore, 2, 5, 1, 7, 9, 4, and 6 make up the stem 1's leaves.
Five values between 20 and 29 may be found in the data for stem 2, and they are 27, 23, 28, 22, and 23 in that sequence. As a result, the stem 2's leaves are 7, 3, 8, and 3.
For stem 3, the data contain two integers between 30 and 39 that, in the order of appearance, are 34 and 34. The leaves for the stem 3 are therefore formed by 4 and 4.
For stem 4, the data only contains the number 40, which falls within the range of 40 to 49. Consequently, 4 creates the leaf for stem 2.
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if the diagonals of a parallelogram bisect each other then it must be a rhombus
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If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
What is rhombus?Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram.A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square.To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.
All parallelograms are parallelograms, however not all parallelograms are rhombuses or rhombi.All squares are rhombuses, but not all rhombuses are squares.There are three additional names for a rhombus:
DiamondLozengeRhombTo learn more about rhombus, refer to
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Rewrite as equivalent rational expressions with denominator (5u+5)(u−9)(u+5): 9/5u^2−40u−45,2u/5u^2+30u+25
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The equivalent rational expression of the given expression, 9/5u² - 40u - 45, is 9/(5u + 5)(u - 9)
The equivalent rational expression of the given expression, 2u/5u² + 30u + 25 , is 2u/(5u + 5)(u + 5)
Writing equivalent expressionsFrom the question, we are to rewrite the given expressions as equivalent rational expressions.
The given expressions are:
9/5u² - 40u - 45 and 2u/5u² + 30u + 25
Writing an equivalent expression for 9/5u² - 40u - 45
Factorize the denominator
5u² - 40u - 45
5u² - 45u + 5u - 45
5u(u - 9) + 5(u - 9)
(5u + 5)(u - 9)
Thus,
The equivalent expression is 9/(5u + 5)(u - 9)
Writing an equivalent expression for 2u/5u² +30u + 25
Factorize the denominator
5u² +30u + 25
5u² +25u + 5u + 25
5u(u + 5) + 5(u + 5)
(5u + 5)(u + 5)
Thus,
The equivalent expression is 2u/(5u + 5)(u + 5)
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8+[8+(−1⋅(−3)−4)]÷(−7)
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Answer:
8 + [8 + (-1*(-3)-4)]÷(-7) = 7/1 = 7
Hope this helped answer your question!
Answer:
7
Step by Step Explanation:
