What is linear inequality examples?
The linear inequality examples are as follows,
What is linear inequality?
Any two real numbers or two algebraic expressions associated with the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form a linear inequality. For example, 9<11, 18>17 are examples of numerical inequalities and x+7>y, y<10-x, x ≥ y > 11 are examples of algebraic inequalities.
The examples of linear inequalities in two variables are:
3x < 2y + 5
8y – 9x > 10
9x ≥ 10/y
x + y ≤ 0
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What are the 2 characteristics 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.
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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Option 1
Charge includes an initial fee plus a cost per T-shirt. Sample pricing is shown in the table.
Option 2
Cost for x T-shirts:
c=2 x+80
Option 3
Cost is $5 per T-shirt.
The best option to choose when pricing the shirt is option 2.
How to find the best option?From the information given, for option 1, the Charge includes an initial fee plus a cost per T-shirt. The equation is Illustrated as 200 + 140x.
For 200 clothes, the price is given as $460.
For option 2, the equation is given as;
2x + 80
The price for 200 clothes will be:
= 2x + 80
= 2(200) + 80
= $480
For option 3, the cost is $5 per shirt. The price for
200 shirts will be:
= 5 × 200
= $1000
Since option 2 is cheaper, it's the best option.
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What is the solution to this system of linear equations 2x 3y 3?
The solution to this system of linear equations is x = 3 & y = -1.
Given linear equations are
2x + 3y = 3 ---- 1
7x - 3y = 24 ---- 2
By dividing both the equations, we get
9x = 27
x = 27/9
x = 3
Now substituting x = 3 in the equation 1, we get
2(3) + 3y = 3
6 + 3y = 3
3y = 3 - 6
y = -3/3
y = -1
Hence the answer is the solution to this system of linear equations is x = 3 & y = -1.
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In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 50 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 32 and 68?
Do not enter the percent symbol.
ans= %
The approximate percentage of daily phone calls numbering between 32 and 68 is 99.73
How to determine the percentage between 43 and 74?From the question, the given parameters about the distribution are
Mean value = 50Sample size = 12Standard deviation value of the set of data = 6The actual data value, x = Between 32 and 68The z-score of the data value is calculated using:
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (x - 50)/6
When x = 32, we have
z = (32 - 50)/6 = -3
When x = 68, we have
z = (32 - 50)/6 = 3
The percentage is then calculated as:
P(32 < x < 68) = P(-3 < z < 3)
From the z table of probabilities, we have;
From the z table of probabilities, we have;
P(32 < x < 68) = 0.99865 - 0.0013499
Evaluate
P(32 < x < 68) = 0.9973001
Rewrite as
P(32 < x < 68) = 99.73%
Hence, the percentage is 99.73%
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What is a mixed fraction and how would you explain it?
Mixed Fractions A mixed fraction is a type of fraction in which there is a whole number part and a fractional part. For example, 31, 7, 3, 1, and 7 are all mixed fractions. It is also referred to as a mixed number.
Answer:
Fraction 7/2
Mixed fraction of the above 3 1/2
Step-by-step explanation:
a mixed number is a whole number and. Fraction for an answer
So 3 1/2 is a mixed number 7/2 is the fraction befor reduced to a mixed number
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.
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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Use the appropriate compound interest formula to compute the balance in the account after the stated period of time
$12,000 is invested for 10 years with an APR of 5% and quarterly compounding.
The balance in the account after 10 years is $___
The balance in the account after 10 years is $15,384.45
Compound interest: Calculating balance in an accountFrom the question, we are to use the compound interest formula to compute the balance in the account
From the compound interest formula, we have that
A = P(1 + r/n)^nt
Where A is the amount
P is the principal
r is the interest rate
n is the number of times compounded per year
and t is the time.
From the given information,
P = $12,000
r = 5%= 0.05
n = 4
t = 10
Putting the parameters into the formula
A = P(1 + r/n)^nt
A = 12000(1 + 0.05/4)^(4×5)
A = 12000(1 + 0.0125)^20
A = $15,384.45
Hence, the balance is $15,384.45
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What is the name of subtraction facts that equal 10?
Back to Ten Facts -When subtracting two integers when the digit in the ones place is the same and the larger number has a 1 in the tens place, the result is 10 (for example, 15-5=10, 13-3=10, 12-2=10, etc.).
Subtraction:
Subtraction symbolizes the process of removing elements from a collection. The negative sign represents subtraction. If, for example, four of the nine oranges that are stacked together (as in the figure above) are then relocated to a basket, the stack will now only contain five oranges as opposed to nine. Thus, 5 is equal to 9 less 4 and is the difference between 9 and 4. In addition to natural numbers, other kinds of numbers can also be subtracted. The symbol for subtraction is the letter "-." The difference, the minuend, and the subtrahend are the three numerical components that make up the subtraction operation.
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anyone know???
x²-3x+2
Answer:
-x+2
Step-by-step explanation:
X has the power of two so two x minus three x is a minus and because two isnt a x u just leave it at two
what is the center of a circle whose equation is x2 y2 12x 2y 12 0
The center is (6, 1) of the given circle with the equation x²+y²-12x-2y+12=0.
What are circles?Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.
A circle is a closed shape that can be created by following a moving point in a plane while maintaining a constant distance from another point.
The Greek word kirks, which means hoop or ring, is whence the word circle gets its form.
So, we have the equation: x²+y²-12x-2y+12=0
Compared to the circle's basic equation:
2 + y² + 2gx + 2fy + c = 0
2g = -12, 2f = -2, c = 12
g = -6, f = -1
Centre = (-g, -f)= (6, 1)
Now, fill in the square:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1
(x - 6)² + (y - 1)² = 25
(x - 6)² + (y -1)² = 52
When compared to the equation for a circle with the centers at (h, k) and radius "r," Centre = (h, k) = (6,1).
Therefore, the center is (6, 1) of the given circle with the equation x²+y²-12x-2y+12=0.
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Correct question:
What is the center of a circle whose equation is x²+y²-12x-2y+12=0?
Answer:
6,1
Step-by-step explanation:
trust me
What are 2 congruent sides called?
2 congruent sides forms isosceles triangle.
What is an angle?
In pure mathematics, an angle is made once 2 rays area unit joined along at a typical purpose. The common purpose here is termed node or vertex, and therefore the 2 rays are referred to as arms of the angle. The angle is drawn by the image "∠ ". The word angle came from the Latin word “Angulus”.
Main Body:
an triangle may be a triangle that has a minimum of 2 sides of equal length. typically it's specified as having precisely 2 sides of equal length, and typically as having a minimum of 2 sides of equal length, the latter version so together with the equiangular triangle as a special case.
Hence ,2 congruent sides forms isosceles triangle
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Place value is important to know when you are talking about prices. What items have prices that are in the hundreds of dollars? thousands of dollars? tens of thousands of dollars? Think about the prices of items with place values in the hundreds, thousands and ten thousands. Give at least two examples of each.
In math, every digit in a number has a place value.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000. Here, we can see that even though the digits are same in both the numbers, it’s place value changes with the change in it’s position.
The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.
From the question;
Prices for items in the value of hundreds
A smartphone - $100Nike Jordan's - $156Prices for items in the value of thousands
A smart TV - $1,500A MacBook Pro - $2,550Prices for items in the value of ten thousands
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How can dilations and similarity be modeled in real-world examples?
Answer:
A model could be a similar figure. I could made a porotype of something that would be much cheaper to build, but would be a good example of what something would look like. For example, when I bought my house, the neighborhoods were not built yet, but the builder had miniature houses and streets and community buildings and parks for me to see on a small scare what my neighborhood would look like. This example would be true of a dilation as well.
Step-by-step explanation:
The steps a student used to calculate 100 × (–3) × (–1.01) ÷ 3 are shown. What property did the student use in Step 2 and why?
Step 1. 100 × (–3) × (–1.01) ÷ 3 = 100 × (–3) × (–1.01) × 13
Step 2. = 100 × (–1.01) × (–3) × 13
Step 3. = (100 × (–1.01)) × (−3×13)
Step 4. = –101 × (–1)
Step 5. = 101
Answer:
Commutative Property
Switching (-1.01) with (-3) rearranges the problem so it's easier to calculate mentally.
Step-by-step explanation:
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
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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The formula to calculate the gravitational force between two objects is F
GM1 M2
where M₁ and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M₂ in terms of Fg, G, M₁ and r.
Solving M2 in terms of Fg, G, M1 and r yields,
[tex]M2 = F {r}^{2} /GM1[/tex]
What does gravitational force between two objects mean?
An object with mass attracts another object with mass this attractive force that exists between all objects is known as gravitational force. It is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.
Given,
The formula to calculate the gravitational force between two objects is F,
[tex]F=G M1 M2/ {r}^{2} [/tex]
where M₁ and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects.
Solving the equation for G2 we get,
[tex]F {r}^{2} =G M1 M2[/tex]
[tex]F {r}^{2}/G M1=M2[/tex]
[tex]M2 = F {r}^{2} /GM1[/tex]
This means, if there are two objects having mass M1 and M2 then M2 is directly proportional to the gravitational force between the two objects and the square of the distance between them, and it is indirectly proportional to M1.
Hence,
Solving M2 in terms of Fg, G, M1 and r yields,
[tex]M2 = F {r}^{2} /GM1[/tex]
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Describe the following function:
(-2,13)
-5
15
-10-
(0,5)
10
6. Is this function a demonstration of growth or
decay? (1 point)
7. What is the asymptote of the function? (1 point)
8. What is the rate of change between (-2, 13) and
(0,5)? (2 points - 1 point work, 1 point solution)
Considering the graph
The functions is showing a decay
The horizontal asymptote is y = 0
The rate of change is -4
How to find the rate of change of the exponential functionExponential decay
In exponential decay, the output values grow smaller and closer to zero as x grows, then grow unrestricted as x drops. the output values are positive for all values of x.
The rate of change of the exponential function using points (-2, 13) and
(0,5)
= (5 - 13) / (0 - -2)
= -8 / 2
= -4
The slope of the exponential function is -4
The asymptote
The horizontal asymptote of an exponential function is always one
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What is a graph answer?
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!
How do you know △ ABC ≅ △ DEF explain?
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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7. Choose the graph below that best represents the equation: x-y = -2
Answer: B
Step-by-step explanation:
First, we will turn this equation into slope-intercept form as it is easier to view in terms of a graph.
Given:
x - y = 2
Add y and subtract 2 from both sides of the equation:
y = x - 2
We can see that this equation has a y-intercept of -2, so it must intercept the graph at (0, -2). The answer option that meets these requirements is B.
Answer: it is graph A
Step-by-step explanation:
It is pretty easy to tell when x-y= -2
Let's say x is 0 then we have left is -y=-2
So y= 2
And we have [0,2] so graph A is correct
BOOMER GENERATION: At 84%, Boomers are the highest amongst all the generations that want to shop in-store. In a sample size of 75 people in the Boomer Generation, estimate how many of them prefer to shop in-store.
In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.
What is proportion?Proportion shows the relative number of objects or people in the whole.
Proportions are ratios equated to each other.
They are expressed as fractional values, in decimals, percentages, and fractions.
The percentage of Boomers who want to shop in-store = 84%
The sample size of the Boomer Generation = 75
The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)
Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.
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Find the mean,median, and mode(s) of the distance in feet from home plate to the left-field fence at various ball park: 303,279,297,321,310,310,301.
The mean, median and mode of the distance from home plate to the left-field fence is 302.57 ft, 303 ft, 310 ftrespectively.
What is mean?Mean is the sum of all values divided by the total number of values
To calculate the mean of the data given, we use the formula below.
Formula:
Mean = ∑x/∑n......... Equation 1Where:
∑x = 303+276+297+321+310+310+301 = 2118∑n = 7Substitute these values into equation 1
Mean = 2118/7Mean = 302.57 ftAlso, to calculate the median of the distribution, we arrage the data into ascending or decending order.
Ascending order ⇒ 279, 297, 301, 303, 310, 310, 321
Then, the median is the middle term in the distribution
Median = 303 ft,Finally to get the mode, we look for the term in the distribution that has the higest frequency.
Mode = 310 ftHence, the mean, median and mode is 302.57ft, 303 ft, 310 ft respectively
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please do question g & h.
Answer:
g. x = -3, 1.875
h. (-3, 1.875)
Step-by-step explanation:
You want the solutions to K(x) = -6 for K(x) -1.6x² -1.8x +3, and the interval for which K(x) > -6.
g. K(x) = -6The attached graph shows K(x) = -6 for x = -3 and x = 1.875.
h. K(x) > -6The attached graph shows K(x) > -6 between the above values, on the interval (-3, 1.875).
__
Additional comment
We are grateful that we are directed to use technology on this problem, as a graphing calculator makes answering these questions so much easier.
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
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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The table shows the total earnings y (in dollars) of a food server who works x hours.
a. Choose an equation that models the server’s earnings as a function of the number of hours the server works.
Responses
y=20xy is equal to 20 x
y=−20xy is equal to negative 20 x
y=20x+6y is equal to 20 x plus 6
y=−20x+18y is equal to negative 20 x plus 18
Question 2
b. Interpret the slope and the y-intercept of the line of fit.
Responses
The slope of 20 means that the server’s earnings increase by about $20 per hour. The y-intercept of 0 means that the server makes $0 if he does not work.
The slope of , 20, means that the server’s earnings increase by about $20 per hour. The , y, -intercept of 0 means that the server makes $0 if he does not work.
The slope of −20 means that the server’s earnings decrease by about $20 per hour. The y-intercept of 0 means that the server makes $0 in tips.
The slope of , negative 20, means that the server’s earnings decrease by about $20 per hour. The , y, -intercept of 0 means that the server makes $0 in tips.
The slope of 20 means that the server’s earnings increase by about $20 per hour. The y-intercept of 6 means that the server makes $6 without tips.
The slope of , 20, means that the server’s earnings increase by about $20 per hour. The , y, -intercept of 6 means that the server makes $6 without tips.
The slope of −20 means that the server’s earnings decrease by about $20 per hour. The y-intercept of 18 means that the server makes only $18 if he does not work.
a) The equation that models the server's earnings as a function of the number of hours the server works is A. y = 20x.
b) The interpretation of the slope and the y-intercept of the line of fit is A. The slope of 20 means that the server’s earnings increase by about $20 per hour. The y-intercept of 0 means that the server makes $0 if she does not work.
What is the slope?The slope of the line of fit is the quotient of the rise and the run.
The rise is the difference between y2 and y1 while the run is the difference between x2 and x1.
The slope shows the constant rate of change or the unit rate.
The y-intercept is the product of the slope and x-intercept.
The rate of earnings per hour, which is the slope = $20
The y-value or intercept depends on the x-value.
For instance, if the server works 4 hours, her total earnings (y) will be $80 (4 x $20).
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Question Completion:Table of Total Earnings, y (in dollars) and x hours:
x 0 1 2 3 4 5 6
y 0 20 40 60 80 100 120
what is the measure of the base in the triangle below question 7 options 11 45 25 30
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 box is ( 2x-3 ) by ( x+5 )by (3x+1) what is the volume of the box if x=3cm
Answer:
240 cm³
Step-by-step explanation:
Volume = [ 2(3) - 3]( 3 + 5)[ 3(3) + 1 ]
Volume = ( 6 - 3 )( 8 )( 9 + 1)
Volume = ( 3 )( 8 )( 10 )
Volume = 24(10)
Volume = 240 cm³
someone help me tysm
Answer:
6.3[tex]\pi[/tex]
Step-by-step explanation:
6.3[tex]\pi[/tex] is the exact answer.
C= circumference
d = diameter
C = [tex]\pi[/tex]d
C = 6.3[tex]\pi[/tex]
Pi is an irrational number. It never ends or terminates. We will often use 3.14 for an estimate of Pi, but you were asked for an exact answer.
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?
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
