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Murrr4er [49]
3 years ago
11

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ -4 1 2. -3 ≤ x ≤ 0 -4 3. -6 ≤

x ≤ -3 0 4. -3 ≤ x ≤ -2 -1 5. -4 ≤ x ≤ -3 3 6. -6 ≤ x ≤ 0 -3
Mathematics
2 answers:
MrMuchimi3 years ago
3 0
The average rate of change of a function f(x) in an interval, a < x < b is given by
\frac{f(b) - f(a)}{b - a}

Given q(x) = (x + 3)^2

1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by \frac{q(-4)-q(-6)}{-4-(-6)} = \frac{(-4+3)^2-(-6+3)^2}{-4+6} = \frac{1-9}{2} = \frac{-8}{2} =-4

2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by \frac{q(0)-q(-3)}{0-(-3)} = \frac{(0+3)^2-(-3+3)^2}{0+3} = \frac{9-0}{3} = \frac{9}{3} =3

3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by \frac{q(-3)-q(-6)}{-3-(-6)} = \frac{(-3+3)^2-(-6+3)^2}{-3+6} = \frac{0-9}{3} = \frac{-9}{3} =-3

4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by \frac{q(-2)-q(-3)}{-2-(-3)} = \frac{(-2+3)^2-(-3+3)^2}{-2+3} = \frac{1-0}{1} = \frac{1}{1} =1

5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by \frac{q(-3)-q(-4)}{-3-(-4)} = \frac{(-3+3)^2-(-4+3)^2}{-3+4} = \frac{0-1}{1} = \frac{-1}{1} =-1

6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by \frac{q(0)-q(-6)}{0-(-6)} = \frac{(0+3)^2-(-6+3)^2}{0+6} = \frac{9-9}{6} = \frac{0}{6} =0
exis [7]3 years ago
3 0

Answer:3,1,4,2,5,6

   

Step-by-step explanation:

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At a glance, Kendra believes that the function represented on the graph is linear.
ruslelena [56]

Answer:

option: D.

Step-by-step explanation:

"The rate of change of two ordered pair is nothing but the slope of a line segment joining ordered pair (x,y)".

if a function is linear then it is represented as y=f(x)=ax+b

i.e. it is a line segment.

so the slope must be same if we consider any ordered pair.

Hence option D is correct i.e. She can check to see if the rate of change between the first two ordered pairs is same as the rate of change between the first and last ordered pairs.



4 0
3 years ago
Read 2 more answers
FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1
labwork [276]

Answer:

y

y2 - 2y - 3

(y - 1)(y + 3)

(3y - 1)(3y + 3)

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

5 0
2 years ago
Bill was looking at 13 different colors to paint his bedroom. He liked about three fourths
d1i1m1o1n [39]

Answer:

As a fraction: 39/4 or 9 3/4

As a decimal: 9.75

As a percentage: uhhhhh- 75% of the colors.

As an integer: 10

Step-by-step explanation:

Multiplying fractions, you get 39/4 or 9 3/14

Pull out your calculator(or divide on paper), to get 9.75

Round that to 10.

3/4 = 75%

Hope this helps!

4 0
3 years ago
HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!
umka21 [38]

Answer:

i dont know Ecactly but i think mybe its 10 or 15

3 0
2 years ago
6x - 2y = 13<br> 2х + Зу = -3
miv72 [106K]

Answer:

6x-2y=13 is x=\frac{2y+13}{6} solved for x

6x-2y=13 is y= -\frac{-6x+13}{2} solved for y

2x+3y=-3 is x =\frac{3(-y-1)}{2} solved for x

2x +3y=-3 is y=-\frac{2x+3}{3} solved for y

Step-by-step explanation:

8 0
2 years ago
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