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
Airida [17]
4 years ago
11

Solve for |2x + 4|-1=7

Mathematics
1 answer:
Rudik [331]4 years ago
6 0

Answer:

x = - 6 or x = 2

Step-by-step explanation:

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

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

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

x = - 6

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 = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

You might be interested in
UnansweredIf Measure of angle a is 155°, what is Measure of angle c?
Gnom [1K]

Answer: 155°

because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°

Step-by-step explanation:

8 0
3 years ago
Identify the class width, class midpoints, and class boundaries for the given frequency distribution.Daily Low Tempurature Frequ
Natali [406]

Answer:

I . class width is 3

ii. Class midpoints are 33,36,39,42,45,48,51.

iii. Class boundaries are: 31.5-34.5, 34.5-37.5, 37.5-40.5, 40.5-43.5, 43.5-46.5, 46.5-49.5, 49.5-52.5

Step-by-step explanation:

I. The class width is the difference between upper class boundary and lower class boundary.

ii. Class midpoints is the summation of upper and lower class limits, divided by 2.

iii. Class boundaries is the subtraction of 0.5 from the lower classe limits and the addition of 0.5 to upper class limits.

8 0
3 years ago
Nakano’s Car Sales increased its sales of sedeans by 18%. By what fraction did the company increase its sales?
KATRIN_1 [288]

Answer:

9/50

Step-by-step explanation:

Turning 18% to a decimal= .18. As you turn the decimal to a fraction, it gives you 9/50

9/50= .18

4 0
3 years ago
If f(x) is a linear function, what is the value of n?
bulgar [2K]

Answer:

13

Step-by-step explanation:

Take any two corresponding values, say (3,7) and (9,16)

Calculate the gradient of the linear function

Gradient=[16-7]/[9-3]=9/6=3/2

find the equation or rule of the linear mapping

y-7=(3/2)(x-3)

y=3x-9+7

y=(3/2)x+5/2

4 0
3 years ago
Multiple choice. help ty
ki77a [65]

Answer:

Option B) is incorrect

Step-by-step explanation:

Looking at the graph the following points are to be noted.

<em>1) the graph has one maximum and one minimum within the interval.</em>

<em>2)the maximum value is attained at x=8, f(x) = 70</em>

<em>3)The least minimum value attained is at x=0, f(x) = -18</em>

<em>4) the y intercept is attained at x=0, f(x) = -18 ( thus option A is correct)</em>

as the graph decreases then increases within(3,6) and increases then  decreases within (1,3) , so options A and D are correct.

And from above option B is wrong

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help me out please thank you
    8·1 answer
  • 28/29 and 30 please short explanation thanks
    6·1 answer
  • Find an exponential function that fits the information (hint: putting them in a table may help you see).
    11·1 answer
  • Please help! Will mark Brainly!
    6·1 answer
  • In the diagram below of triangle FGH, J is a midpoint of FG and K is a midpoint
    5·1 answer
  • Write 13.28 as a fraction in the lowest term​
    15·1 answer
  • Help im bad at math AHHHHHHHHHHHHHHHHHHHHH
    14·2 answers
  • Triangle HIJ is similar to triangle KLM. Find the measure of side LM. round your answer to the nearest tenth
    6·1 answer
  • Anyone know how to do this?
    5·1 answer
  • Use the figure below to answer the question.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!