Raise 8 to the 5th power, then subtract the result from h. What would the expression be?

1 answer:

7 0

The equation would look like this:

h - 8⁵

To solve for the value of h.
It must be in standard form, where one side is equal to 0.

h - 8⁵ = 0
h = 8⁵
h = 8 x 8 x 8 x 8 x 8
h = 32,768

The exponent above the number indicates the number of time its base will be multiplied by itself. In this case, the base will be multiplied 5 times.

To check: h = 32,768
h - 8⁵ = 0
32,768 - 32,768 = 0
0=0

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Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?

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Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

(a,b) interval =(-3,1)

Where;

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$f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6$