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
Strike441 [17]
3 years ago
11

Use the inequality 18 < -3(4x - 2) Solve the inequality for x. Show your work.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

x > -1

Step-by-step explanation:

Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)

18 < -3(4x - 2)           Expand this to simplify

18 < (-3)(4x) - (-3)(2)             Multiply -3 with 4x and -2

18 < -12x + 6               Start isolating 'x'

18 - 6 < -12x + 6 - 6                 Subtract 6 from both sides

18 - 6 < -12x                  '+ 6' is cancelled out on the right side

12 < -12x                    Subtracted 6 from 18 on the left side

12/-12 < -12x/-12                    Divide both sides by -12

12/-12 < x                    'x' is isolated. Simplify left side

-1 < x                    Answer

x > -1             Standard formatting puts variable on the left side

You might be interested in
Camille bought 3 pounds of nuts for $10.35 what is the unit price per pound
amid [387]

10.35 \div 3 = 3.45
the unit price per pound is $3.45
5 0
3 years ago
What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-<br> sect?
Kitty [74]

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

5 0
3 years ago
Evaluate the following expression for w=4. w^-3 =
slega [8]
W^-3
(4)^-3 = 1/(4)^3
1/64.

The solution is 1/64.
6 0
3 years ago
If 3 boxes weigh 10 pounds, how much do 4 boxes weigh?
Nataly_w [17]

Answer:

About 13.32 Pounds

Step-by-step explanation:

First. take the total weight of the three boxes and divide it by the number of boxes.

10/3 = 3.33 and so on

Now we know each box ways 3.33 pounds.

Now multiply 4 boxes by 3.33 pounds.

4 x 3.33 = 13.32

So the answer should be about 13.32 pounds.

8 0
2 years ago
Read 2 more answers
You and three friends go out to eat and decide to split the bill evenly. The food you order comes to a total of $48. If you leav
zloy xaker [14]

Answer:

11.64

Step-by-step explanation:

100%-> 48

15%-> 7.20

6.25%-> 3

48+7.20+3=58.20

58.20÷5=11.64

4 0
3 years ago
Other questions:
  • How much yards of highway do they need to repave?
    10·2 answers
  • The histogram displays the number of 2015 births among U.S. Women ages 10 to 50 . Each bin represents an interval of two years,
    15·1 answer
  • Find the slope of the line.
    12·1 answer
  • Evaluate: 64 ^1/3<br><br> A) 3 <br> B) 4 <br> C) 6 <br> D) 8
    11·2 answers
  • Amanda increased the amount of protein she eats every day from 48g to 54g. by what percentage did Amanda increased the amount of
    7·1 answer
  • Help please . i need the answer ASAP .
    13·1 answer
  • For ANOVA, the test statistic is called an ____ test statistic (also called a ____-ratio), which is the variance (2) samples (a.
    15·1 answer
  • A farmer ordered 3/4 ton of soil. He wants to divide it evenly into 8 flower beds. How much will he have for each bed?
    15·2 answers
  • A company wants to determine which of its snack options the customers' favorite is. Which two sampling methods produce unbiased
    10·1 answer
  • If X= 9 and Y = 3, what is XY
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!