Answer:
The answer to your question is A.
Step-by-step explanation:
2
I think it’s y = (x-3) - 2
First, you need to know what the lines | | mean.
| | around a number means the absolute value.
The inequality is |y|>6
This means that the absolute value of y is greater than 6.
Now, we need to find the absolute value of the choices.
A. y=-7
|-7| is 7
B. y=-1
|-1| is 1
C. y=3
|3| is 3
D. y=9
|9| is 9
Now, we find which of the absolute values work in the inequality.
7 is greater than 6, so that works
1 is less than 6, so it doesn't work.
3 is also less than 6, so that too doesn't work.
9 is greater than 6, so the one will work.
Therefore, choices A and D satisfy the inequality of |y|>6, because |-7|>6, and |9|>6.
9514 1404 393
Answer:
p = 3x+10
Step-by-step explanation:
The attached diagram pretty much explains it.
The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:
(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line
Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:
(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line
__
The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...
left-side area = x(2x -5)
right-side area = x(x +15)
Then the total area enclosed by the solid line is ...
x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)
__
The area of the lot extension is the product of its dimensions:
extension area = x·p
We want this to be the same as the area in the solid line, so ...
x·p = x·(3x +10)
Dividing by the coefficient of p (which is x), we have ...
p = 3x +10
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