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
Tems11 [23]
3 years ago
11

Use the function to find f(-2)

Mathematics
2 answers:
yulyashka [42]3 years ago
4 0
<h3>Answer:</h3>

\frac{1}{9}

<h3>Step-by-step explanation:</h3>
  1. Substitute the -2 into the equation.  f(-2)=3^{-2}
  2. Begin to simplify the exponent.  x^{-y}=\frac{1}{x^y}, so you get f(-2)=\frac{1}{3^2}
  3. Finish simplifying the exponent.  3 times 3 is 9.  f(-2)=\frac{1}{9}
algol [13]3 years ago
3 0

Answer:

f(-2) = 1/9

Step-by-step explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

f(-2) = 1/(3^2)

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

~

You might be interested in
Find the amplitude y = -5 sin one half x
Alex_Xolod [135]

Answer:

amplitude=5

Step-by-step explanation:

y=a sin x

amplitude =|a|

here a=-5

|a|=5

8 0
2 years ago
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Oksanka [162]

Answer:

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup 33\dfrac{1}{3} lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x  --  100%

0.5  --  1.5%

Write a proportion:

\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}

Cross multiply:

1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup

32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs

3 0
2 years ago
It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked
tresset_1 [31]

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\frac{1}{tb} = \frac{1}{5} + \frac{1}{10}

\frac{1}{tb} = \frac{4}{20} + \frac{2}{20}

\frac{1}{tb} = \frac{6}{20}

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

5 0
3 years ago
Find the distance between the points (3, 8) and (-1, 9). sqrt 5 sqrt 15 sqrt 17
avanturin [10]
Answer is <span>sqrt 17



I am 101% sure.
 Thank me later</span>
5 0
3 years ago
How do you solve for X ax-x=c
MArishka [77]
Factor out the "x"  and you'll have:
x(a-1) =c \qquad /:(a-1) \\ x=\frac{c}{a-1} \qquad \qquad  a\neq 1
8 0
2 years ago
Other questions:
  • For every 15 campers at a summer camp there is 1 counselor.
    10·1 answer
  • A bag of trail mix weighs 2 lb. By weight, 18% is oats.
    11·1 answer
  • you have a blender mixed with raspberries,blueberries,ice, and water.Which of the following will NOT change when mixed together?
    15·1 answer
  • Divisibility rule for 4.
    12·2 answers
  • I need help with this
    14·1 answer
  • Paul has four more nickels than quarters and twice as many dimes as quarters. If he has a total of $6.20, how many dimes does he
    5·1 answer
  • Anyone know how to do this?
    5·2 answers
  • WORTH 15 POINTS:
    6·1 answer
  • A box in a supply room contains 21 compact fluorescent lightbulbs, of which 7 are rated 13-watt, 8 are rated 18-watt, and 6 are
    5·1 answer
  • 47. Health care costs per capita Rising health care costs
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!