1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
9

Given the function h(x)=x2+6x+6h(x)=x^2+6x+6h(x)=x2+6x+6, determine the average rate of change of the function over the interval

−7≤x≤2-7\le x \le 2−7≤x≤2.
Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

<h2>The answer is -11.</h2>

Step-by-step explanation:

The function is given by h(x) = x^{2} - 6x + 6.

Rate of change refers to the ratio between the change of the dependent variable with the change of independent variable.

The minimum value of x is -7 and the maximum value is 2.

h(-7) = 49 + 42 + 6 = 97.

h(2) = 4 - 12 + 6 = -2.

The average rate of change is \frac{h(-7) - h(2)}{-7 - 2} = \frac{97 + 2}{-9} = -11.

You might be interested in
50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT
Brut [27]

Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

○ 5x - 3y = 15

○ y = ½x + 5⁄2

Step-by-step explanation:

Find the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

\frac{2 + 1}{2 - 1} = 3

__________________________________________________________

According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in <em>zero</em> for <em>y</em>: 5x = 15, and you will know right away that <em>x</em><em> </em>is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in <em>zero</em><em> </em>for <em>x</em>: -3y = 15, and you will know right away that <em>y</em><em> </em>is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

4 0
2 years ago
Is the function even odd or neither?
Mandarinka [93]

The answer is the first option: Even.

The explanation for this exercise is shown below:

1. By definition, if f(x)=f(-x) the fucntion is even.

2. When the graph is symmetric with respect to the y-axis, it is an even function.

3. As you you can see in the graph attached in the problem, the graph is symmetric about the y-axis. Therefore, you can conclude it is an even function.

5 0
2 years ago
Elizabeth continued to save for her car down payment.
Reil [10]

ummmm it could be third one i guesss

6 0
2 years ago
Read 2 more answers
You know the distance between two cities is 140 miles. What is the distance in kilometers?
Juli2301 [7.4K]
The unknown is the distance in kilometres
The given is the distance in miles=140 miles
1 mile=1.6093km
140 miles=?
140/1*1.6093km=225.302km
Therefore the 140 miles in km is 225.302km
7 0
3 years ago
Read 2 more answers
URGENT!!! SOMEONE HELP
Klio2033 [76]

Answer:78% countries

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • How do you write 13,406 in words
    15·2 answers
  • EMERGENCY PLEASE HELP!!!!! PLEASE ONLY DO IF YOU KNOW IT.
    7·1 answer
  • What is the intersection of the sets A = {2, 3, 5, 7, 11} and B = {5, 11, 13, 15, 17}?
    6·2 answers
  • What's the area of a circle with the diameter of 7m? (use 3.14 as pi)
    15·1 answer
  • Plzz help will give branlisest
    15·2 answers
  • Donovan got 39/50 on a test, Marci had 10% points higher than Donovan. What was her score?
    5·2 answers
  • Corporate bonds from Dagofi Radar are selling at 88.354, bonds from Chambers Translation are selling at 112.894,
    10·1 answer
  • Pls help is easyyyyy geometry
    6·1 answer
  • Which of the following are solutions to the equation below?<br>Check all that apply<br>(5x-2)² = 10​
    15·1 answer
  • When I am trying to find the whole of the percent and divide it what do I do with the remainder? Like do I put it together with
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!