F(x)= x^2 + 10f(x)=x 2

+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10

Over which interval does fff have a positive average rate of change?

Choose 1

Choose 1

(Choice A)

A

[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket

(Choice B)

B

[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket

(Choice C)

C

[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket

(Choice D)

D

[-1,2][−1,2]

The option D represents an interval with a positive average rate of change.

Step-by-step explanation:

Let , the average rate of change on the interval is represented by the definition of the secant line:

(1)

Where:

, - Lower and upper bounds, dimensionless.

, - Function evaluated at lower and upper bounds, dimensionless.

Now we proceed to check each option:

A. ,

B. ,

C. ,

D. .

The option D represents an interval with a positive average rate of change.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: