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
scoundrel [369]
3 years ago
8

Given g(x)=|-3x+16|, if g(x)=18, find x.

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - \frac{2}{3}

or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = \frac{34}{4}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

Ne4ueva [31]3 years ago
8 0

<u>Given</u>:-

g(x)=18

<u>To find</u><em>:-</em>

x

<u>Solution</u>:-

g(x)=(-3x+16)

18=-3x+16

18-16=-3x

2=-3x

x=2/-3

hope it helps you!

You might be interested in
What is the slope of the table? <br><br> What is the y-intercept of the table?
mel-nik [20]
Slope=2
Y-intercept=12



7 0
2 years ago
The LCD for 3/10, 20/25, and 18/75 is
Marizza181 [45]
The LCD for 3/10,20/25,and 18/75 is 150
3 0
2 years ago
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
14. What is the value of the missing angle? (1 point)
VladimirAG [237]

Answer:

75+ po e photo math nyo po sa play store I download nyo po

Step-by-step explanation:

sana po makatulong po

8 0
2 years ago
Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=y%20%7B%3F%7D%5E%7B2%7D%20%20-%2018y%20%2B%2081" id="TexFormula1" title="y {?}^{2} - 18y + 81
    12·1 answer
  • Which is a true statement?
    11·1 answer
  • There are 412 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 49 fans?
    7·1 answer
  • Rewrite the expression using the properties of exponents. <br><br> x5<br> y4
    14·1 answer
  • Solve -12 = z ÷ 3 for z. z =
    11·2 answers
  • Find the value of the variable in the triangle below. Round decimal answers to the nearest tenth.
    11·1 answer
  • 1) Positive, negative, zero or undefined?
    5·1 answer
  • HELP ME OUT PLS!!!!!!​
    6·1 answer
  • Is 5(1/5^3) = 5(5^3)?
    10·1 answer
  • How do you translate a polygon on a graph?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!