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3 years ago

What is the constant rate of change from the graph?

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

3 0

Answer:

$5$

Step-by-step explanation:

When looking for constant rate, you have to see what is the repeating rate or coordinate in order to solve constant rate.

Let us take two coordinate points,

( 1 , 5 )
( 3 , 15 )

If we were to look for constant rate, we have to see the similarity (in this case the multiplication of the two numbers) between the two points.

What can they be?

They both have x multiplying by 5 to get y!

1 * 5 = 5

3 * 5 = 15

The same goes with all other points on the graph, leaving you with five as the constant rate.

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Please find the what x equals 1) x/6=3/9 2) 9/12=x/8 3) 3/9=x/12 4) x/12=6/8

pychu [463]

$1)\\\dfrac{x}{6}=\dfrac{\not3^1}{\not9_3}\\\\\dfrac{x}{6}=\dfrac{1}{3}\qquad\text{multiply both sides by 6}\\\\x=\dfrac{1}{\not3_1}\cdot\not6^2\\\\\boxed{x=2}\\\\2)\\\dfrac{x}{8}=\dfrac{\not9^3}{12\!\!\!\!\!\diagup_4}\\\\\dfrac{x}{8}=\dfrac{3}{4}\qquad\text{multiply both sides by 8}\\\\x=\dfrac{3}{\not4_1}\cdot\not8^2}\\\\x=3\cdot2\\\\\boxed{x=6}$

$3)\\\dfrac{x}{12}=\dfrac{\not3^1}{\not9_3}\\\\\dfrac{x}{12}=\dfrac{1}{3}\qquad\text{multiply both sides by 12}\\\\x=\dfrac{1}{\not3_1}\cdot12\!\!\!\!\!\diagup_4\\\\\boxed{x=4}\\\\4)\\\dfrac{x}{12}=\dfrac{\not6^3}{\not8_4}\\\\\dfrac{x}{12}=\dfrac{3}{4}\qquad\text{multiply both sides by 12}\\\\x=\dfrac{3}{\not4_1}\cdot12\!\!\!\!\!\diagup_3\\\\x=3\cdot3\\\\\boxed{x=9}$

8 0

3 years ago

What is the inverse of the function f(x) = 4x + 8?

Lady bird [3.3K]

To find the inverse of an equation just switch the places of the x and y, then solve for y like so...

(keep in mind that f(x) means the same thing as y)

original equation:

y = 4x + 8

switching x and y:

x = 4y + 8

x - 8 = 4y

$\frac{1}{4}x$ - 2 = y

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

Which expression is equivalent to the given expression. -2x + 8x-9+4x+7x+2

Alinara [238K]

Answer:

17x - 7

Step-by-step explanation:

-2x + 8x - 9 + 4x + 7x + 2

6x - 9 + 4x + 7x + 2

6x - 9 + 11x + 2

17x - 9 + 2

17x - 7

5 0

3 years ago

I've found each day our family drinks 2/15 gallons of milk. A gallon costs $2.73. How much will I spend on milk in 60 days?

SVETLANKA909090 [29]

Answer: $21.84

Step-by-step explanation: (2/15)60 = 8days

8(2.73) = $21.84

6 0

3 years ago

Read 2 more answers

Help please been stuck on this for a week.

Anettt [7]

They give the formula as:
Surface Area = (2 • π • r²) + (2 • π • r • height)
However the 2*PI*r^2 part of the formula is used to calculate the 2 "ends" of a cylinder. Since the problem states that you are NOT to count any of surface area of the "ends" then you only need the (2 • π • r • height) part of the formula.
So, r = 3 inches and height = 8 * 3 inches, the side area equals
2 * PI * r * height
2 * 3.14159 * 3 * 24 =

 452.39 cubic inches which is the lateral area.

6 0

4 years ago