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MAXImum [283]
2 years ago
8

5-|n-1|=-2 | | stands for absolute value

Mathematics
2 answers:
BlackZzzverrR [31]2 years ago
4 0

Answer:

n = 8 or n = −6

Explanation:

First, isolate the absolute value:

5 − |n − 1| = −2

7 − |n − 1| = 0

7 = |n − 1|

Then, split this into two equations, since the result of the absolute value could be positive or negative:

7 = n − 1                           7 = −(n − 1)

8 = n                                7 = −n + 1

                                       n = −6

BabaBlast [244]2 years ago
4 0

Answer:

\{-6\} \cup \{8\}

Step-by-step explanation:

5 - |n - 1| = -2; \\ -|n - 1| = -2 - 5 \\ -|n - 1| = -7 \\ |n - 1| = 7 \\ \left \ [ {{n - 1 = 7} \atop {n - 1 = -7}} \right. \Leftrightarrow \left \ [ {{n = 7 + 1} \atop {n = -7 + 1}} \right. \Leftrightarrow \left \ [ {{n = 8} \atop {n = -6}} \right.

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3 years ago
(x1,y1) is (-4,-2) and (x2,y2) is (2,4)
olga nikolaevna [1]

Answer:

y = x+2

Step-by-step explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute numbers

Slope = \frac{4-(-2)}{2-(-4)}

Two negatives = one positive

Simplify

Slope = \frac{4+2}{2+4}=\frac{6}{6}=1

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

Slope intercept form is y = mx+b

Answer is y = x+2

Hope this helps :)

6 0
3 years ago
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Molodets [167]
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4 0
3 years ago
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Answer: Explanatory variable = " number of times the owner has an advertisement played on the radio"

Response variable = "number of new customers who will visit a shop"

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In the given situation , the business owner is predicting the number of new customers who will visit a shop based on the number of times the owner has an advertisement played on the radio.

Here , He is controlling the advertisement played on the radio to see the response of customers.

Therefore ,

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4 0
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