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Volgvan
2 years ago
12

Select the correct answer. What is the solution to |x − 6| ≥ 5? A. 1 ≤ x ≤ 11 B. -11 ≤ x ≤ 1 C. x ≥ 11 or x ≤ 1 D. x ≥ 1 or x ≤

-11
Mathematics
1 answer:
diamong [38]2 years ago
5 0

The absolute value of a number <em>a</em> is written as  |a|  . And represents the distance between a and 0 on a number line.

So, Option C. x≥ 11 or x ≤ 1 is correct answer

Inequality given is,

                              |x − 6| ≥ 5

Taking <em>positive case,</em>

                               x − 6 ≥ 5

                               x − 6 + 6 ≥ 5 + 6

                                x ≥ 11

Taking <em>negative case,</em>

                                 x − 6 ≤  - 5

                                x - 6 + 6 ≤ -5 + 6

                                   x ≤ 1

So, solution of given inequality is  x ≥ 11 or   x ≤ 1

Learn more:

brainly.com/question/1779337

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The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
aliya0001 [1]

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

5 0
3 years ago
14. Subtract: 5 - 3 1/3.<br><br> A. 313<br> B.223<br> C. 12/3<br> D.23
exis [7]

Answer:

The answer is 1 \frac{2}{3}

The work is shown on the picture.

Step-by-step explanation: Hope this helps and mark brainliest if ya want :)!

6 0
3 years ago
Tim's bank contains quarters, dimes and nickels. He has 3 more dimes than quarters and 6 fewer nickels than quarters. If he has
Artist 52 [7]
(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24
8 0
3 years ago
N + 4 &gt; -9
Sav [38]

Answer:

n>-13

Step-by-step explanation:

so you subtract 4 from -9 then since your not multiplying or divinding by a negative you don't flip the sign

3 0
3 years ago
Read 2 more answers
write a slope intercept equation for a line passing through the point (2,-2) that is parallel and perpendicular to the line x=-1
vekshin1

You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:

Parallel: x = 2

Perpendicular: y = -2

In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.

Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.

5 0
3 years ago
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