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The graph of y = ax? + c, where a and c are
constants, is shown. What is the value of a ?


Answer:

Hello! answer:

Deborah is 27

Sarah is 31

Step-by-step explanation:

31 - 27 = 4 31 + 27 = 58 therefore x = 27 and y = 31 Hope that helps!

Age of Sarah is 31 and age of Deborah is 27.

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.

Given, Deborah is x years old and Sarah is y years old. The sum of their ages is 58. If Deborah is 4 years young then Sarah is. Hence,

Deborah's age + Sarah's age = 48

x + y = 48

Also given, Sarah's age = Debora's age + 4

y = x +4

comparing both equations.

x = 27 and y = 31

Therefore, the age of Deborah is 27, and age of Sarah is 31.

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Answer:

B

Step-by-step explanation:

B has a constant rate of change because it changes by 30 every 2, or 15 every 1. Hope this helped :).

[tex]9x-5=3x+7[/tex]

Subtract 3x from both sides:

[tex]9x-5-3x=3x+7-3x[/tex]

[tex]6x-5=7[/tex]

Add 5 to both sides:

[tex]6x-5+5=7+5[/tex]

[tex]6x=12[/tex]

Divide both sides by 6:

[tex]\dfrac{6x}{6} =\dfrac{12}{6}[/tex]

[tex]\fbox{x = 2}[/tex]

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]

Then the value of x will be,

[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]

[tex] \sf \rightarrow \: 9x - 3x = 7 + 5[/tex]

[tex] \sf \rightarrow \: 6x = 12[/tex]

[tex] \sf \rightarrow \: x = \frac{12}{6} [/tex]

[tex] \sf \rightarrow \: x = 2[/tex]

Hence, the value of x is 2.

Answer:

p-value = 0,000755

We reject H₀. We can support that Americans who are dissatisfied with education in kindergarten throug grade 12 differs significantly from 50%

Step-by-step explanation:

Sample proportion :   p₁  =  0,55

Sample size      n  =  1000

q₁ =  1  -  p₁         q₁   =  1  -  0,55    q₁  = 0,45

Hypothesis Test:

Null Hypothesis                                  H₀          p₁   =  0,5      ( 50 % )

Alternative Hypothesis                     Hₐ           p₁  ≠  0,5

Alternative hypothesis indicates that we have to develop a two-tail test

as   n  =  1000

p₁*n  = 0,55 * 1000  =  550      q₁*n  =  0,45*1000 = 450

Both products are bigger than 5. We can use the approximation of binomial distribution to normal distribution.

Significance level  α  =  5%    α  = 0,05  and α/2  =  0,025

z(s)  =  ( p₁  - 0,5 ) / √p₁*q₁/1000

z(s)  =   0,05 * 31,62 / 0,4974

z(s) = 3,1785

From z-table we find  p-value = 0,000755

Therefore    p-value <  0,025

We are in the rejection region, we reject H₀

Answer:

Ramon will run 1/9 of a mile.

Step-by-step explanation:

The relay race is 1/3 of a mile and there are three of them in his relay squad, himself and his two friends.

If three of them finish each sector and each sector is the same, that means that each of the members will run a third of that distance.

[tex]\frac{1/3}{3}\\=\frac{1}{3} (\frac{1}{3} )\\=\frac{1}{3(3)}\\=\frac{1}{9}[/tex]

Answer:

Starting is 10 going up by 5x

Step-by-step explanation:

When you look at a graph there is a y and x axis's. 10 is on the y axis and its going up by 5x.

The surface area of the composite figure is 416 square cm because the composite figure is made up of two figures.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have a composite figure shown in the picture.

As we can see in the picture the composite figure is made up of two figures.

The first one is a rectangular prism

Second one is a triangular prism.

The surface area of the composite figure:

= area of the two triangle shapes + area of the two rectangles in triangular prism + surface area of the rectangular prism - (12x5)

= 2(1/2)12x10 + 2(10x5) + 2(4x5 + 12x5 + 12x4) - 12x5

= 120 + 2(50) + 2(20 + 60 + 48) - 60

= 120 + 100 + 2(128) - 60

= 120 + 100 + 256 - 60

= 416 square cm

Thus, the surface area of the composite figure is 416 square cm because the composite figure is made up of two figures.

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Answer:

She ate 1/10 of the pizza.

Hope this helps!!

On solving the provided question, we can say that - the value of the percentage = 1/10; 12/100

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

10%; 12%; 22% and 24%

1/10; 12/100; 11/50 and 6/25

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You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer: Correct answer is option C

Answer:

14.

-3(6-r)=6

6-r=6/-3

6-r=-2

6+2=r

r=8

error is:

-18+3r not -18-3r

Answer:

hope it's helps you ☺

have a good day

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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There are total 12 lines of symmetry may be found in the image.

We have to given that;

A image is shown in figure for find the lines of symmetry .

Since, We know that;

Exactly dividing a form in half, a line of symmetry exists. This indicates that the form would fold perfectly in half if you did so along the line.

Hence, By definition of line of symmetry we get;

There are total 12 lines of symmetry may be found in the image.

Thus, The correct answer is,

⇒ 12 line of symmetry

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Answer:

C

Step-by-step explanation:

You multiply the number

Answer:

78 ft x 1 in/ 13 in = 6 ft

1 inch represent 6 ft

Complete the puzzles with values -4, 0, -3 and 2

Since each row, column, and diagonal adds up to the same total.

For the 1st row, the total is:

3 + (-2) + (-1) = 0

That means each row, column, and diagonal will always adds up to 0.

3 + w + 1 = 0

w = -3-1

w = -4

w + y + 4 = 0

-4 + y + 4 = 0

y = 0

-1 + 4 + t = 0

3 + t = 0

t = -3

1 + h + t = 0

1 + h + (-3) = 0

h -2 = 0

h = 2

(Check the attached image for labeling)

Thus, complete the puzzle with the values accordingly

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Answer: y = -5x + 6

Step-by-step explanation:

First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

So, to use this formula, you pick two points from the line that you're given and solve for m.

Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{6-1}{0-1}[/tex]

[tex]m=\frac{5}{-1}[/tex]

[tex]m=-5[/tex]    So, the slope is -5

Then, we need to find the y intercept, which would be b in the formula.

We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.

Now let's put everything together:

y = mx+b

y = -5x + 6

Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.

In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.

A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.

As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.

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The correct representations of the inequality are

-6x + 15 < 10 - 5x

A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

From the question, we are to determine the correct representations of the inequality

From the given information,

The given inequality is

-3(2x - 5) < 5(2 - x)

To determine the correct representations, we would proceed to solve the inequality

Solving the inequality

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

This is one of the representations of the inequality

Then,

Collect like terms

-6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

Multiply through by -1

x > 5

If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.

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Answer:

4x +2

Step-by-step explanation:

4( x + 2)

= 4*x +4*2

= 4x +2

Answer: 5/6

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.

Answer:

5/6

Step-by-step explanation:

Well to find a fraction's reciprocal all you need is to flop it like this

6/5 => 5/6

so 5 takes the place of 6 and 6 takes the place of 5

that's how 6/5 turns into 5/6

Answer:

pro tip: crop your screen before you post it....

I think it's B

I did this 2 years ago in middle school

3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9

Answer:

3/4 > 1/5

6/9 > 2/5

6/7 > 3/10

2/11 < 4/9

Step-by-step explanation:

Manera facil de comparar fracciones:.

3/4    1/5

Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.

El numero mas grande esta arriba de la fraccion mas grande.

5 x 3 = 15 arriba  de 3/5

4 x 1 = 4 arriba de 1/5

Como 15 > 4, 3/4 > 1/5

30      18

6/9    2/5

6/9 > 2/5

 60     21

6/7    3/10

6/7 > 3/10

18       44

2/11   4/9

2/11 < 4/9

Answer:

17) c

18) a) 19

19) i dont know sorry

Step-by-step explanation:

the first two i can solve, the first one i simply put in a calculator and observed that it did not pass the vertical line test, so it is now a function. the second one all you have to do is sub in -3 for x so the equation reads |-(-3)^3-8| which equal 19, sorry i couldnt help on 19

Answer:

Perimeter = 9x + 6

Step-by-step explanation:

Perimeter = x+14 + x-1 + x+5 + 3x + 2x-10 + x-2

Perimeter = 9x + 14 + 5 - 1 - 10 - 2

Perimeter = 9x + 19 - 13

Perimeter = 9x + 6

Answer:

4305

Step-by-step explanation:

Answer:

The total surface is 48 ft

Step-by-step explanation: