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
kompoz [17]
3 years ago
11

Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to

two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer:

The average rate of change of the function in this interval is of 18.

Step-by-step explanation:

The average rate of change of a function f(x) in an interval from a to b is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

f(x) = x^2 + 6x

Where x goes from 5 to 7.

This means that b = 7, a = 5. So

f(7) = 7^2 + 6(7) = 49 + 42 = 91

f(5) = 5^2 + 6(5) = 25 + 30 = 55

The rate of change is:

A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18

The average rate of change of the function in this interval is of 18.

You might be interested in
Find the similarity ratio and the ratio of the perimeters of two regular octagons with areas of 18 in2 and 50 in2.
Brums [2.3K]
By definition we have that the area of a regular octagon is:
 A = 4.83L ^ 2
 Where, L is the length of the octagon side.
 the similarity ratio = the area ratio.
 We have then:
 similarity ratio = (50) / (18) = 25/9.
 the ratio of the perimeters
 A1 = 4.83L1 ^ 2
 L1 ^ 2 = A1 / 4.83
 L2 ^ 2 = A2 / 4.83
 L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
 L1 / L2 = 5/3
 The perimeter is:
 P1 = 8L1
 P2 = 8L2
 P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
 answer:
 similarity ratio:
 25: 9
 the ratio of the perimeters:
 5: 3
4 0
3 years ago
Read 2 more answers
a sinusoid always function has an amplitude of 3, a frequency of 1/8pi, and a midline at 2. Which of the following equations sat
Katen [24]

Answer:

The correct option is;

f(x) = 3·sin x/8·π + 2

Step-by-step explanation:

The given parameters for the sinusoidal function are;

Amplitude of oscillation = 3

Frequency of oscillation = 1/8·π

Midline of oscillation= 2

The general form of sinusoidal equation is y = A·sin(B(x - C)) + D

Where;

A = The amplitude

B = The frequency

C = The horizontal shift

D = The midline or vertical shift

Substituting the given values into the general form of sinusoidal equation, we have;

f(x) = y =  3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2

Which gives;

f(x) = 3·sin(x/8·π) + 2.

5 0
4 years ago
Factor 7m2 + 10m + 3
Licemer1 [7]

Answer:

7m^2+13

Step-by-step explanation:

7m^2 + 10m + 3

Add the numbers ;10+3=13

=7m^2+13

Hope this helped!!!

7 0
3 years ago
(1 point) The parabola given by the equation y=−x2+10x−23 has its vertex at (h,k) for:
Sunny_sXe [5.5K]

the vertex is (5, 2)

5 0
3 years ago
the year 2000, a company made $4.9 million in profit. For each consecutive year after that, their profit increased by 13%. How m
ololo11 [35]

Answer:

14.7 is the best answer i can come up with it might be wrong it might not be to be helpful there you go

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 57 is 6 percent of what number?
    8·1 answer
  • Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% int
    12·1 answer
  • On a Saturday a library check out 66 books and if 18 of the books were fiction what is the ratio of nonfiction books to fiction
    8·2 answers
  • Hailey's plane climbed 4,500 feet in 90 seconds. How fast did her plane climb every second?
    10·1 answer
  • Mr. and Mrs. Steele, deposited $8,000 to open a college savings account for their granddaughter on the day she was born. The acc
    12·1 answer
  • Helpp! Will give brainliest​
    6·1 answer
  • 1/3 of 3/7 <br><br><br>helpp I need to show the work​
    12·2 answers
  • Please someone help me this is important!!!
    8·1 answer
  • A pool holds 1620 gallons.
    10·2 answers
  • Yoko bought 22 pounds of flour for $9. How many dollars did she pay per pound of flour?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!