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
JulijaS [17]
3 years ago
14

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

The correct answer is x = 2 and x = -4.


In order to solve for this, you first need to plug in the f(x) value and solve for the absolute value statement.


f(x) = -5|x + 1| + 3

-12 = -5|x + 1| + 3 ---> subtract 3 from both sides.

-15 = -5|x + 1|----> divide both sides by -5.

3 = |x + 1|


Now that we have solved for the absolute value portion, we need to solve this equation twice. Once removing the absolute value and solving and the other by removing it and making the 3 negative. This is because even if the inside of the markers was -3, it would give us a 3 answer.


3 = x + 1

2 = x


Then the negative version.


-3 = x + 1

-4 = x


And there are your two answers.

You might be interested in
Solve: 5.6 = 3.1 – 12.5|1 – 0.8x|
galben [10]

Answer:

<h3>There are no solutions.</h3>

Step-by-step explanation:

<u>Questions:</u>

  • Solve: 5.6= 3.1 – 12.5|1 – 0.8x|

<u>To find:</u>

  • The value of x.

<u>Solutions:</u><u>
</u>

  • 5.6= 3.1 – 12.5|1 – 0.8x|

First, do switch sides.

\Longrightarrow:\sf{3.1-12.5\left|1-0.8x\right|=5.6}

<u>Multiply by 10 from both sides.</u>

\Longrightarrow: \sf{3.1*10-12.5|1-0.8x|*10=5.6*10}

<u>Solve.</u>

31-125|1-0.8x|=56

<u>Subtract by 31 from both sides.</u>

\Longrightarrow: \sf{31-125\left|1-0.8x\right|-31=56-31}

<u>Solve.</u>

\Longrightarrow: \sf{-125\left|1-0.8x\right|=25}

<u>Divide by -125 from both sides.</u>

<u>Solve.</u>

\Longrightarrow: \sf{\dfrac{-125\left|1-0.8x\right|}{-125}=\dfrac{25}{-125}=\boxed{\sf{No\ solutions.}}}

  • <u>Therefore, the correct answer is "D. There are no solutions."</u>

<u></u>

I hope this helps, let me know if you have any questions.

5 0
1 year ago
When considering a term(s) inside parentheses, and there is an exponent
MaRussiya [10]

Answer:

distribute; multiply

For instance:

(4^{2} + 6 )^{3}  = 4^{6}  + 6^{3}

7 0
3 years ago
What is the answer ?
djyliett [7]

Answer:

16

Step-by-step explanation:

3 0
3 years ago
Aliyah bought a car for $32,000. It is now worth $5000 less than half of what she purchased it for. To the nearest tenth of a pe
Reil [10]
32,000 x 0.5 = 16000

16000- 5000 = 11000

11000 / 32000= 0.34375

1- 0.344= 0.656

Answer : D
3 0
3 years ago
The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0
3 years ago
Other questions:
  • Evaluate the following:<br><br> Options are:<br> pi/2<br> pi/8<br> pi<br> Does not converge
    15·1 answer
  • How is 9/75 represented as a percentage
    13·2 answers
  • 10 times as many as 2 hundred is 20 hundreds or 2 thousand
    5·1 answer
  • The table shows the results of choosing one card from a deck of cards, recording the suit, and then replacing the card. Find the
    12·1 answer
  • Which is equal to √50
    6·2 answers
  • 11/6 = 1/3 + p<br> (Find the common denominator first.)
    9·1 answer
  • a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the heigh
    14·1 answer
  • If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.
    6·1 answer
  • What is the volume of the prism?<br> 12 cm- base<br> 10 cm- height<br> 9 cm- width<br> asap!!!
    6·1 answer
  • -9(4p-6q)+8q-7(3q-3p) how would I rewrite in simplest terms
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!