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3 years ago

What is the average rate of change of the function g(x) = 3(2x) - 6 over the interval 0<=x<=3? Show all work.

Mathematics

1 answer:

UNO [17]3 years ago

3 0

Definition of average rate of change a function g(x) over an interval [a,b]:

$A = \dfrac{g(b)-g(a)}{b-a}$

Substitute your function and your interval:

$A = \dfrac{(3^6-6)-(3^0-6)}{3-0} = \dfrac{3^6-6-3^0+6}{3} = \dfrac{3^6-1}{3} = \dfrac{728}{3}$

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2 years ago

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3 years ago

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Dennis_Churaev [7]

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2 years ago

Please help me! What is x and y? Thank you!

Ivahew [28]

Answer:

x=3. y=6

Step-by-step explanation:

So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.

So to find what x equals, we can take the 13, and make it equal to the 4x+1:

13=4x+1

Subtract the one from both sides:

12=4x

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<u>x=3</u>

So we know the x value is 3.

Now lets solve for y using the bottom equations:

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Subtract 1y from both sides:

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Divide both sides by -6:

x=1/2y

So we already know that x=3, lets plug that in for x, and solve for y:

3=1/2y

1/2y=3

Multiply both sides by 2 to get 1y:

<u>y=6</u>

So we know that y is equal to 6.

Hope this helps!

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2 years ago