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
My name is Ann [436]
2 years ago
9

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

Mathematics
2 answers:
Gwar [14]2 years ago
7 0

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

- x + 2 = 4 ( subtract 2 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

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

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

liberstina [14]2 years ago
7 0

this can also be explained as c on edg :)

You might be interested in
There are two different jobs Jordan is considering. The first job will pay her $4200 per month plus an annual bonus of $4500. Th
ASHA 777 [7]
The first job pays 54900$ a year
The second job pays 44900$ a year

If you compare, she will make more money with the first job!
3 0
3 years ago
Can you please help me do find a resolution for these equations
rusak2 [61]

Answer:

x=-5

Step-by-step explanation:

I did a for #42

2(x-5)=3x+5

simplify

2x-10=3x+5

subtract 2x from both sides

-10=3x+5

subtract 5 from both sides

-15=3x

divide both sides by 3

-5=x

6 0
3 years ago
(show ur work) Each bag of gourment popcorn for a school fundraiser costs $6.75. The total amount received from the popcorn sale
Alinara [238K]

Answer:

725 Boxes of Popcorn

Step-by-step explanation:

You can do it simply by just typing in the calculator 4893.75÷6.75.

But I can show my work. Picture below

5 0
2 years ago
Todd drives 60mph. How long will it take him to go 300 miles?
Paraphin [41]
300/60=5 so your answer is 5 hours
6 0
2 years ago
Read 2 more answers
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit
SCORPION-xisa [38]

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = <u><em>proportion of people who write with their left hand</em></u>

So, Null Hypothesis, H_0 : p = 0.22     {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, H_A : p \neq 0.22      {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

4 0
2 years ago
Other questions:
  • Which is bigger 40 percent of 90 or 1 half of 80
    8·1 answer
  • Write 3x-4y=8;(-6,5) in slope intercept form for the line that is perpendicular and passes through the point
    12·1 answer
  • 2x6+8-1 can anyone help?
    8·2 answers
  • Find the other endpoint of the line segment with the given endpoint and midpoint.
    9·1 answer
  • 7(5f-3n)-8 use n=3 and f=7​
    6·2 answers
  • Determine whether the following events are mutually exclusive.
    12·1 answer
  • A support wire is attached to the top of an antenna. The support wire connects
    10·1 answer
  • Rachel has one $1 bill,<br> 3 quarters, and 2 pennies.<br> How much money does<br> Rachel have?
    7·2 answers
  • FRACTIONAL INDICIES HELP IS APPRECIATED A LOT
    7·1 answer
  • Solve this equation with a variable term on both sides:
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!