Given f(x)=17-x^2 what is the average rate of change in f(x) over the interval [1, 5]?
0.25

-0.5

4

-6

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 1, 5 ], thus

f(b) = f(5) = 17 - 5² = 17 - 25 = - 8

f(a) = f(1) = 17 - 1² = 17 - 1 = 16

average rate of change = = = - 6

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

he kicked it up? is this the answer ?

step-by-step explanation: