What is the average rate of change for ƒ(x) = −3^x+ 79 over the interval 2 ≤ x ≤ 4?

The average is 124

Step-by-step explanation:

When x=2 substitute into the equation given above

-3^2+79

9+79=88...(1)

When x=4

-3^4+79

81+79=160(2)

Average of (1) and (2)

160+88/2

=248/2

=124

Therefore the average rate is 124

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .