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
ira [324]
3 years ago
12

Help ASAP !!!!! Which number line represents the solutions to \x + 4) = 2?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

first option

Step-by-step explanation:

Given

| x + 4 | = 2

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

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

x = - 2

OR

- (x + 4) = 2, distribute left side

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

- x = 6 ( multiply both sides by - 1 )

x = - 6

Thus solutions are x = - 2, x = - 6

These are represented on the graph by solid blue circles at x = - 2, x = - 6

The first option represents the solution

You might be interested in
What’s 4+5+6+7+8. Plzzzzzzzz
irina1246 [14]

<em><u>It's 30</u></em>

<em>Hope that helped!</em>


8 0
3 years ago
Read 2 more answers
6. Find the total surface area of the cone in the figure. (Use
Artist 52 [7]

Answer:

hi

use pie r ( l + r )

Step-by-step explanation:

hipe this may help you

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2Bx-3%29%3A%20%28x%5E%7B2%7D%20-4%29%5Cgeq%201" id="TexFormula1" title="(x^{
Jlenok [28]

Answer:

x>2

Step-by-step explanation:

When given the following inequality;

(x^2+x-3):(x^2-4)\geq1

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

\frac{x^2+x-3}{x^2-4}\geq1

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

\frac{x^2+x-3}{x^2-4}-1\geq0

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0

Perform the operation on the other side distribute the negative sign and combine like terms;

\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0

Factor the equation so that one can find the intervales where the inequality is true;

\frac{x+1}{(x-2)(x+2)}\geq0

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

-1, 2, -2

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

x\leq-2\\-2

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

x\leq-2   -> negative

-2   -> neagtive

-1\leq x   -> neagtive

x>2   -> positive

Therefore, the solution to the inequality is the following;

x>2

6 0
3 years ago
5. The balance on a $6000 loan is reduced by each monthly payment. If the payment is $250 per month, the formula for figuring th
VikaD [51]
\text{The graph is number 2, because the amount is reducing every month }

4 0
1 year ago
Rewrite the equation y – 4x = –9 in slope-intercept form.
torisob [31]
Answer: y=4x-9


explanation: move the -4x over to the other side and it becomes positive 4x and -9 stays the same.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me with these two questions please??
    6·1 answer
  • Can a Equilateral rectangle be a square
    8·2 answers
  • Please help!
    10·1 answer
  • Find the area in square inches of a parallelogram with a base of 12.54 inches and a height 17 inches. Round to the nearest hundr
    12·1 answer
  • How do I find an increase of 42 from 72
    9·1 answer
  • I need a answer for number 7
    11·1 answer
  • Which statement best describes the electric field around a positive charge?
    11·2 answers
  • HELP GIVING 20 POINTS
    15·2 answers
  • Divide. Round your answer to the nearest hundredth. 0.719) 4,460​
    15·1 answer
  • What’s the area and the circumference of a circle with diameter 8m?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!