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
11111nata11111 [884]
3 years ago
6

Find the average rate of change for f(x) = x2 + 9x + 18 from x = −10 to x = 10. A) 3 B) 7 C) 9 D) 11

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [ - 10, 10 ], thus

f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208

f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus

average rate of change = \frac{208-28}{10-(-10)} = \frac{180}{20} = 9

You might be interested in
(answer choices above^)
UkoKoshka [18]
1 because you replace x with 2 so, (2)squared -5x2 + 7 = 4 - 10 + 7 = 1
7 0
3 years ago
Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the
mr_godi [17]

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

5 0
3 years ago
6x2 - 5x - 4 is equivalent to:
Sophie [7]

Answer:

<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>

Step-by-step explanation:

Solution:

  • 6x² - 5x - 4
  • 6x²- (8 - 3)x - 4
  • 6x²- 8x + 3x - 4
  • 2x (3x - 4) +1 (3x - 4)
  • (2x + 1) (3x - 4)
4 0
2 years ago
118 meters in 2 seconds, how many meters in 11 seconds?
erastova [34]

Answer:

It would be 649

Step-by-step explanation:

118 ÷ 2= 59

59 x 11= 649

3 0
3 years ago
Read 2 more answers
Consider the recursively defined function below.
Dvinal [7]

Answer:

  -5.25, -3.5, -1.75, 0, 1.75

Step-by-step explanation:

The recursive relation tells you this is an arithmetic sequence with a common difference of 1.75. Each term is 1.75 more than the one before.

To find the 2nd term, add 1.75 to the first term: -5.25 + 1.75 = -3.5

To find the 3rd term, add 1.75 to the second term: -3.5 + 1.75 = -1.75

To find the 4th term, add 1.75 to the third term: -1.75 + 1.75 = 0

and so on ...

5 0
3 years ago
Read 2 more answers
Other questions:
  • Can the ratio of a parents age to his or hers childs age ever be exactly 3:2
    7·2 answers
  • Find the equivalent angle of 700°​
    12·1 answer
  • HELP Can you determine the third angle measure in a triangle, if you know the other two angles?
    13·1 answer
  • Which one of the following statements is true of perpendicular lines? A. They intersect to form an obtuse angle. B. They interse
    5·1 answer
  • Find all the missing measurement​
    11·1 answer
  • This expression is used to find the total cost to order x number of tickets to a play 10x +3 what is the total cost of ordering
    5·1 answer
  • Which point is in the graphed solution set of this system of inequalities?
    6·1 answer
  • The product of 4 integers is odd, is there sum even or odd
    12·1 answer
  • Identify the common difference 10,20,30,40 ..
    13·1 answer
  • Prove that cos⁻¹ (12/13) + sin⁻¹ (3/5) = sin⁻¹ (56/65)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!