Answer: ([tex]\frac{-3}{5}[/tex], 1) and ([tex]\frac{-3}{5}[/tex], 3) are two you could use, but there are countless possibilities.
Step-by-step explanation:
To solve this question, we will first isolate the variable x.
-5x = 3
[tex]\displaystyle \frac{-5x}{-5} =\frac{3}{-5}[/tex]
x = [tex]\frac{-3}{5}[/tex]
Next, we will find points that satisfy the equation. Any value in the y-coordinate will work as long as x = [tex]\frac{-3}{5}[/tex]. Some examples:
([tex]\frac{-3}{5}[/tex], 1)
([tex]\frac{-3}{5}[/tex], 6)
([tex]\frac{-3}{5}[/tex], -4)
([tex]\frac{-3}{5}[/tex], [tex]\frac{1}{2}[/tex])
([tex]\frac{-3}{5}[/tex], 0)
Etcetera.
I have attached a graph with two of the examples to further show. This graph uses ([tex]\frac{-3}{5}[/tex], 1) and ([tex]\frac{-3}{5}[/tex], 6). Negative three-fifths is equal to -0.6.
Is the exponential function 5 x?
It is Growing Exponential function because the base is greater than 1 and the exponent has a positive sign.
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
[tex]y=5^x[/tex]
It is a function called "Exponential function". The base determines the growth or decay of the function.
If base > 1, then the function grows, otherwise if base is between 0 and 1, the function decays.
Here, the base is positive and it's not 1 or 0.
If we have
[tex]y=5^{-x}[/tex]
this function can be rewritten in this way:
[tex]y=(1/5)^x[/tex]
Here, base between 0 and 1, the function decays
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A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 50% magical syrup by volume (and the rest is just water), and blue potion, which is 10% magical syrup by volume. (Perhaps you're wondering how the same syrup can produce both red and blue potions. That's why it's magic syrup!)
(a) Find the amount of red potion (in mL) that must be added to 200 mL of blue potion in order to produce potion that is 30% magical syrup by volume.
(b) Find the amounts of red potion and blue potion (in mL) that can be combined in order to produce 150 mL of a potion that is 30% magical syrup by volume.
(c) Does there exist a combination of red potion and blue potion that can produce a potion that is 20% magical syrup by volume?
Answer:
Step-by-step explanation:
its a
Which symbol is represent function?
The value of a function f at an element x of X, denoted by the symbol f(x), is regarded to as the picture of x as per f or the value of f implemented to the input x.
In the given question we have to define which symbol is represent function.
The notation f: X→Y denotes a function, its domain, and its codomain. The value of a function f at an element x of X, denoted by the symbol f(x), is regarded to as the picture of x as per f or the value of f implemented to the input x.
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What is the point of a triangle called?
The points of a triangle are known as vertices, and various triangle points are centroid, circumcenter, incenter and orthocenter.
A triangle is a three-sided polygon.
The triangle's three points are known as vertices.
Several triangle-related points:
A triangle's centroid is the point where three medians cut each other. A median is the line that connects a vertex to the opposite side's midpoint.At the circumcenter, the three perpendicular bisectors of a triangle's sides meet. The circumcenter is also the center of the circle formed by passing through the three vertices of the triangle. The orthocenter is the point at which the triangle's altitudes, or the perpendicular lines between each vertex and the opposite side, intersect.The incenter of a triangle is the point at which the three bisectors of the triangle's interior angles intersect. This is also the center of the inscribed circle, also known as the triangle's incircle.A triangle's Euler line is the line that connects the orthocenter, circumcenter, and centroid. It also contains the Nine Point Circle's center.Thus, the points of a triangle are known as vertices, and various triangle points are centroid, circumcenter, incenter and orthocenter.
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8+[8+(−1⋅(−3)−4)]÷(−7)
Answer:
8 + [8 + (-1*(-3)-4)]÷(-7) = 7/1 = 7
Hope this helped answer your question!
Answer:
7
Step by Step Explanation:
Can someone help me please? I would really appreciate the person to help me.
The system of linear equations have variable unique solutions, infinitely many solutions and no solutions.
System of Linear EquationIn algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
A system of equations as discussed above is a set of equations that seek a common solution for the variables included.
1.
y = -2x + 3 ...eq(i)
y = 1/2x - 7 ...eq(ii)
The solutions to the linear equations (x,y) are (4, -5)
2.
y = 2x - 7 ...eq(i)
y = 5x + 5 ...eq(ii)
The solutions to the linear equations (x,y) are (-4, -15)
3.
3y = -12x + 6 ...eq(i)
y = -4x + 2 ...eq(ii)
The linear equations (x, y) have infinitely many solutions
4.
y = -2x + 3 ...eq(i)
y = 2x - 1 ...eq(ii)
The linear equations (x,y) have solutions of (1, 1)
5.
y = 5x + 4 ...eq(i)
y = 5x - 2 ...eq(ii)
The linear equations have no solutions
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A model rocket is shot straight up from the roof of a school. The height, h, in meters, after t seconds can be approximated by h(t)=-5t2+22t+15. Answer the following questions algebraically, showing all of your work
How long does it take for the rocket to pass a window that is 10m above the ground? (hint: make h=10, group like terms, then solve the quadratic equation)
Answer: [tex]\frac{11+\sqrt{146}}{5}[/tex] seconds
Step-by-step explanation:
[tex]10=-5t^2 +22t+15\\\\5t^2 -22t-5=0\\\\t=\frac{22 \pm \sqrt{(-22)^2 -4(5)(-5)}}{2(5)}\\\\t=\frac{11+\sqrt{146}}{5} \text{ } (t > 0)[/tex]
What is the value of t??
1.4t - 0.4 ( t - 3.1 ) = 5.8
Please explain step by step on how I could get this answer!
1.4t - 0.4(t-3.1)=5.8
Combine terms in paratheses
1.4t - 0.4t + 1.24 = 5.8
Combine t's
(1)t + 1.24 = 5.8
Subtract 1.24 over
t = 4.54A rectangular paperboard measuring 21 in long and 16 in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the paperboard remaining after a semicircle is cut out of it is 235.52 in².
What is area?The area is the amount of space within the perimeter of a 2D shape.
To calculate the area of the rectangular board that remain, we use the formula below.
Formula:
A' = lw-[πr²/2]............. Equation 1Where:
A' = Area of the paperboard leftl = Length of the paperboardw = width of the paperboardr = Radius of the semi circleFrom the question,
Given:
l = 21 inw = 16 inr = 16/2 in = 8 inπ = 3.14Substitute these values into equation 1
A' = (21×16)-(3.14×8²/2)A' = 336-100.48A' = 235.52 in²Hence, the area of the paperbaord left is 235.52 in².
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What is function definition with example?
A function is defined as a relation between a set of inputs having one output each.
Say, there is an element x in the sets of input, now it can be paired with no more than one y in the sets of output. We should note that the same y can be paired with different x's, but not the reverse. All linear equations, with the exception of vertical and horizontal lines, are functions.
The function is generally written as "f(x)" where x is the input value.
let us take an example-
f(x) = x/2
here, f(x) is a function because each input "x" has a single output "x/2":
• f(2) = 1
• f(5) = 2.5
• f(−12) = −6
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5. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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How do I divide 16.64 by 6.40?
Answer: 2.6
Step-by-step explanation:
Use long division:
16.64 over 6.4
First multiply the numerator by 10 to get 166.4 over 64
Then divide 166.4 by 64 (using long division)
At the end you'll get 2.6
A rectangle is placed around a semicircle as shown below. The width of the rectangle is 4 yd. Find the area of the shaded region.
Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the shaded region is calculated as: 6.88 yd²
How to Find the Area of a Shaded Region?The area of the shaded region in the diagram = area of rectangle - area of semicircle.
Given the following:
Width of rectangle = 4 ydRadius of the semicircle (r) = 4 ydLength of the rectangle = 2(4) = 8 ydArea of the semicircle = 1/2(πr²) = 1/2 × 3.14 × 4² = 25.12 yd²
Area of the rectangle = length × width = 8 × 4 = 32 yd²
The area of the shaded region = 32 - 25.12 = 6.88 yd²
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A car is traveling at a rate of 20 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not round your answers.
Rate:
Distance traveled in 2 hours:
Answer:
Rate = 72 km per hour
Distance traveled in 2 hours = 144 km
Step-by-step explanation:
The car speed is given as 20 meters per second
There are 3600 seconds in an hour
So in 1 hour the car would travel 20 x 3600 = 72,000 meters. This is equivalent to 72,000 meters per hour
There are 1000 meters in a kilometer
So, in terms of kilometers, the car would travel 72,000/1000 = 72 km i one hour. This is equivalent to a speed of 72 km per hour
In 2 hours the car would travel 72 x 2 = 144 km
find the value of x 20 3x 5
The value of x is 5
What are algebric expressions?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values.
The given expression is 20 - 3x = 5
We need to calculate the value of x
20 - 3x = 5
20 - 5 = 3x
15 = 3x
3x = 15
x = 5
Therefore, the value of x is in the algebric expression is 5
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(-4x4+6+3/3)x6
What is the solution
Answer:___(-4x⁴+9)x⁶
3
What does m<2 mean in geometry?
Answer: I hope this is helpful mark me brainlist if this apply to you
Step-by-step explanation:
The square meter, also called the meter squared, is the International System of Units (SI) unit of area. The symbol for square meters is m2. Less formally, square meter is sometimes abbreviated as sq m.A metre square is a square with sides one metre in length – it refers to the shape and the side length, not the area. By contrast, a square metre is an area and can be any shape.The basic unit of length is the meter and is denoted as. In geometry, can be used as a variable to denote a line and can be used to name a point. In algebra, denotes the slope of a line in the equation y = m x + c .
Without using a calculator, find the value of sin^2(55) + cos^2(55) - sin(60)/cos(30)
Answer:2 minus the square root of 3 divided by 2
Step-by-step explanation:
Fathi has $ 1.10 in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25 Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. After Fathi prints, what will be the balance in his printing account?
As described in the algebra the balancing amount is - 1.8375
what is algebra?
Mathematics has several different subfields, including algebra. Algebra, broadly stated, is the study of mathematical symbols and the guidelines for using these symbols in formulas.
Solution;
Balance of account = account amount - account used
= 1.10 - 0.25 * ( 47/2)
= 1.10 - 0.25* 11.75
= 1.10 - 2.9375
Balance of account = - 1.8375
Hence, by algebra the balancing amount of account is - 1.8375
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Ace Guitars produces acoustic and electric guitars. Each acoustic guitar yields a profit of $30 and requires 2 work hours in Factory A and 1 work hours in Factory B. Each electric guitar yields a profit of $50 and requires 2 work hours in Factory A and 3 work hours in Factory B. Each factory operates for at most 12 hours each day. Graph the feasible region. Then, find the number of each type of guitar that should be produced each day to maximize the company’s profit.
Choose all equations that would be needed to graph the feasible region.
Inequalities to support the questions
2x + y ≤ 12 2x+ 3y ≤ 12x ≥ 0, y ≥ 0What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Each factory operates for at most 12 hours each day.
let maximum profit by factory A be x and Factory B be y.
Then, Inequalities to support the questions
2x + y ≤ 12
and, 2x+ 3y ≤ 12
and, x ≥ 0, y ≥ 0
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The equation of a parabola is y = a(x - 1)^2 + k and the points (2, 6.5) and (-1, -1) lie on the parabola. Determine the maximum value of the parabola.
The maximum value of the parabola is represented by y-vertex whose value is 9.
What is a Quadratic Function?
The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving a quadratic function you should find the discriminant: Δ=b²-4ac . And after that you should apply the discriminant in the formula:[tex]x=\frac{-b\pm\sqrt{\Delta} }{2a}[/tex] .
The question gives a quadratic equation and two points, but you do not know some coefficients. Then, you should find the unknown coefficients and after that, you should find the y-vertex of the parabola ([tex]y_v=\frac{-{\Delta} }{4a}[/tex]).
For finding the coefficients, you should solve the system of equations.
y = a(x - 1)² + k -> points (2, 6.5) and (-1, -1), thus
6.5=a(2-1)² + k (1)
-1=a(-1-1)² + k (2)
Simplifying the equations
6.5=a(1)² + k ( 1 )
-1=a(-2)² + k (2)
6.5=a+ k ( 1 )
-1=4a+ k (2)
Multiply equation 1 by -1
-6.5=-a- k ( 1 )
-1=4a+ k (2)
Sum equations 1 and 2
-7.5=3a
a= -2.5
If a= -2.5, from equation 1, you have
-6.5=-a- k
-6.5=-(-2.5)- k
-6.5=2.5- k
k=2.5+6.5
k=9
Then , the parabola equation is y= -2.5 (x-1)² +9. You can rewrite it as:
y=-2.5(x²-2x+1)+9
y= -2.5x²+5x-2.5+9
y= -2.5x²+5x+6.5
Find y-vertex[tex]y_v=\frac{-{\Delta} }{4a}=y_v=\frac{-{(b^2-4ac)} }{4a}=\frac{-{(5^2-4*(-2.5)*(6.5))} }{4*(-2.5)}=\frac{-90}{-10} =9[/tex]
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blank = blank x 0.1 + 8 x blank
Answer:
0
Step-by-step explanation:
0 = 0×0.1+8×0
0 = 0+8×0
0= 8×0
0=0
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.
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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If m<1 = 128, then m<8=
Answer:
m<8=1024
Step-by-step explanation:
Since they are asking for m<8, we do 128*8=1024.
What is Incentre of triangle ABC?
The Incenter of triangle ABC is I = (ax1+bx2+cx3 / a+b+c , ay1+by2+cy3 / a+b+c).
Given:
Let I be the incenter of triangle ABC.
Let A(x1,y1) ,B(x2,y2) and C(x3,y3) are vertices.
Let a,b and c are lengths of the sides AB,BC and AC.
we know that:
Incenter I = (ax1+bx2+cx3 / a+b+c , ay1+by2+cy3 / a+b+c)
we can find a, b and c values using the distance formula between the vertices.
AB = a = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
BC = b = [tex]\sqrt{(x3-x2)^2 + (y3-y2)^2}[/tex]
AC = c = [tex]\sqrt{(x3-x1)^2 + (y3-y1)^2}[/tex]
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The rectangular prism below is labeled with its measured dimensions. Taking measurement error into account, what are the minimum and maximum possible volumes?
Minimum possible volume =
ft³
Maximum possible volume =
ft³
The minimum possible volume of this rectangular prism is 176.78 ft³.
The maximum possible volume of this rectangular prism is 131.11 ft³.
How to determine the minimum and maximum possible volumes?Mathematically, the volume of a rectangular prism can be calculated by using this formula:
Volume = L × W × H
Where:
L represents the length of a rectangular prism.H represents the height of a rectangular prism.W represents the width of a rectangular prism.In order to determine the minimum possible volume of this rectangular prism, we would add the greatest possible error to each measurement and then multiply as follows:
Vmin = (3.5 + 0.25) × (8.4 + 0.25) × (5.2 + 0.25)
Vmin = 3.75 × 8.65 × 5.45
Minimum possible volume, Vmin = 176.78 ft³.
In order to determine the maximum possible volume of this rectangular prism, we would subtract the greatest possible error from each measurement and then multiply as follows:
Vmax = (3.5 - 0.25) × (8.4 - 0.25) × (5.2 - 0.25)
Vmax = 3.25 × 8.15 × 4.95
Maximum possible volume, Vmax = 131.11 ft³.
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Sheelu bought a scooter for Rs. 55000. While selling the value of the scooter decreased to Rs. 50600. Find the percentage of decrease in the value of the scooter.
Answer:
8%
Step-by-step explanation:
1. Subtract:
55000 - 50600 = 4400
2. Divide:
4400/55000 = 0.08
Think About the Process Van purchased a DVD player on sale. The original selling price was $179.30. The sale price was
$157.17. What is the first step in finding the percent markdown? Find the percent markdown.
What is the first step in finding the percent markdown?
OA. Find the cost.
OB. Find the greatest markdown possible.
C. Find the markdown.
The percent markdown was%. (Round to the nearest whole number as needed.)
Answer:19.26%
Step-by-step explanation: yeah
Answer:
19%
Step-by-step explanation:
There are only 5 steps here they are:
1. Divide 144.77 by 179.30
2. You get the answer 0.80741773...
3. You round it to 0.81.
4. You turn it into a percent by moving the dot(decimal) to the right four times.
5. And then you subtract it from 100 and you get 19% for the discount.
so therefore the answer is 19%
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An audio cable is 14.1 dm long. How long is the cable in meters?
Answer: 1.41 meters
Step-by-step explanation:
14.1 decimeters to meters
Decimeters are 10 times smaller than meters, so you divide the value by 10 to get meters
14.1/10 = 1.41
1.41 meters
please help me answer this question
Answer:
this 1
Step-by-step explanation:
same doubt pease any help