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
Erik spends $680 for cable television service. The cable company offers a deal that promises Erik 3 free months of cable if he s
Annette [7]
So what is your question cause there isn't one
3 0
3 years ago
David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one a
luda_lava [24]

Answer:

7/15 for dime

6/15 for pennies

Step-by-step explanation:

7/15 because 7+2+6=15 and there are 7 dimes so 7/15.

6/15 because there are 15 coins and there are 6 pennies so 6/15.

15 is the total so 7 and 6 have to go over it.

5 0
3 years ago
Pls help !!!!!!!!!!!!!!!!!!!!!
Naddika [18.5K]

Answer:

The slope is 2.

Step-by-step explanation:

You can see on the intercepts that it goes rise 2 and run over 1 which would basically equal to 2.

7 0
3 years ago
Read 2 more answers
Find the indicated second-order partial derivative for<br> fyx if f(x,y)=e3x+2y
Verdich [7]
Fy = 2 because we derivate in raport witw y and x is like a constant;
fyx = 0 because we deivare in raport with x.
5 0
3 years ago
Write a four digit who number that is divisible by two how do you know that your number is divisible by two
Levart [38]
1000 because it ends in zero
3 0
3 years ago
Other questions:
  • I need help this is due tomorrow and I have to write an essay so please help!!!
    9·1 answer
  • Obin can clean 72rooms in 6 days.<br><br>How many rooms can Robin clean in 9 days
    13·1 answer
  • Given the geometric sequence where a1 = 3 and r = √2 find a9
    8·1 answer
  • Analyze the diagram and complete the instructions that follow
    12·1 answer
  • Please help please please please
    12·1 answer
  • What is the answer with this math
    11·2 answers
  • 14,800 at 6% compounded semiannually for 4 years.. I need to know the interest and the compound amount
    9·1 answer
  • Please help if you can.
    10·2 answers
  • Can someone please help me to solve this question, 0.0000000009 ÷ 0.0003.Show your working. ​Plizzzzzzzzzzzzzzzzzzz.......​
    14·1 answer
  • What is the answer of 81g^2 - 36f^2 ?????
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!