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
HELPPPP ILL MAKE YOU BRAINLIEST OR WHATEVER IS SPELL
Harlamova29_29 [7]

Answer:

2336

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
7 meters/20 minutes= x cm/2 hours
meriva

Answer:4,200

Step-by-step explanation:

4 0
3 years ago
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

3 0
3 years ago
1/2(x + 5)2 + 2 = 42.5
Monica [59]

Answer:

x=35.5

Step-by-step explanation:

reduce numbers

remove parentheses

add the numbers

move constant to the right

subtract numbers

7 0
3 years ago
Read 2 more answers
Complete the tables of values.
Vladimir [108]

Answer:

a=1\\b=\frac{1}{16}\\\\c=\frac{1}{256}\\\\d=1\\e=\frac{4}{9}\\\\f=\frac{16}{81}

Step-by-step explanation:

For the orange table:

<em> </em>Substitute the corresponding values of <em>x</em> into the function f(x)=4^{-x}, then:

For a:

x=0

f(0)=4^0=1

For b:

x=2

f(x)=4^{-2}=\frac{1}{16}

For c:

x=4

f(x)=4^{-4}=\frac{1}{256}

For the blue table:

<em> </em>Substitute the corresponding values of <em>x</em> into the function g(x)=(\frac{2}{3})^x, then:

For d:

x=0

g(x)=(\frac{2}{3})^0=1

For e:

x=2

g(x)=(\frac{2}{3})^2=\frac{4}{9}

For f:

x=4

g(x)=(\frac{2}{3})^4=\frac{16}{81}

3 0
3 years ago
Other questions:
  • 6 as a fraction of 15
    9·2 answers
  • Elena's mother asked her to add a half-cup of water to the beans.
    15·2 answers
  • 2-33+(-4)+5-(-6)-70=
    5·1 answer
  • You have used 500 quarts of water 85% of water remain how many quarts of oil
    10·1 answer
  • Assume that adults were randomly selected for a poll. They were asked if they​ "favor or oppose using federal tax dollars to fun
    12·1 answer
  • Solve 6x + c = k for x.
    13·2 answers
  • Find x<br> 25<br> 7<br> Х<br> PLEASE HELP
    13·1 answer
  • A protected coastal wildfire area is surveyed and sampled for various forms of wildlife. the protected area is essentially recta
    11·1 answer
  • I WILL GIVE YOU BRAINLEST
    15·1 answer
  • I need help with this math problem
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!