The sum of 2 times a number and 5 is 11

What is the domain of y=x^2-17

alexandr1967 [171]

Answer:

The Vertex Form of a Parabola is:

g(x) = a(x - h)2 + k

vertex = (h, k)

rate = a (positive is up; negative is down)

a = -1/4 (downward parabola)

vertex = (17, 61)

There is no domain restriction.

Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.

Step-by-step explanation: hope this helped:/

3 0

2 years ago

Which function has an average rate of change of -4 over the interval [-2,2]?

kolbaska11 [484]

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = $\frac{m(b)-m(a)}{b-a}$

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

$=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}$

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = $\frac{n(b)-n(a)}{b-a}$

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

$=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}$

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = $\frac{q(b)-q(a)}{b-a}$

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = $\frac{-4-12}{2-(-2)}$

= $\frac{-16}{4}$

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = $\frac{p(b)-p(a)}{b-a}$

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = $\frac{-4-12}{2-(-2)}$

$=\frac{-16}{4}$

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

#SPJ1

8 0

2 years ago

the volume of a rectangular prism is represented by the function x3+6x-16. the length of the box is x + 2 , while the height is

Zinaida [17]

X^2+6x-16= volume
LWH=volume
(x+2)W(x+8)=x^2+6x-16
W=(x^2+6x-16)/[(x+8)(x+2)]=[(x+8)(x-2)]/{(x+8)(x+2)}=
W=(x-2)/(x+2)

7 0

3 years ago

David uses drawing software to rotate the regular hexagon about its center. Through which angle measures can he rotate the hexag

timurjin [86]

Answer:

60, 120 and 180.

Step-by-step explanation:

It maps onto itself every 60 degrees.

So as they are multiples of 60 it will map onto itself at 120 and 189 degrees also.

3 0

3 years ago

Read 2 more answers

The sum of three consecutive even integers is -60 . Find the numbers.

Alexus [3.1K]

Answer: -18, -20, -22

Step-by-step explanation:

The integers are obviously approximately equal to -20, since they cover only 5 numbers, and there are three of them and their sum is -60. So guess -18, -20, -22. That works.

3 0

3 years ago