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Anna11 [10]
3 years ago
10

What is the range of the function f(x) = |x − 1| − 2?

Mathematics
1 answer:
amid [387]3 years ago
8 0
You obtain the graph of function f(x)=|x-1|-2 translating the graph of function g(x)=|x| 1 unit left and 2 units down.

The range of the graph g(x)=|x| is [0,\infty]. When you make the needed translations you can see that the range of the function f(x) is [-2,\infty].

Answer: [-2,\infty].
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2x+7y=4 −2x−8y =−2 ​
Darina [25.2K]

Answer:

-y = 2.

Step-by-step explanation:

2x + 7y= 4

- 2x – 8y = -2  

Adding we eliminate   x because 2x + -2x = 0:-

0 - y = 4  + -2

-y = 2.

8 0
3 years ago
In a plane, if one of two parallel lines is _____ to another line, the other of the two lines is perpendicular to that line.
Marina86 [1]

Answer:

B. perpendicular

Step-by-step explanation:

Hope this helps.

3 0
3 years ago
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1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the
Mice21 [21]

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

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5 0
3 years ago
What is the slope of the line that contains the point -6,-7 and -6,2
Masja [62]
We know that coordinates are labeled (x,y)
The formula to find slope is (Y2-Y1)/(X2-X1)
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8 0
3 years ago
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Sally is ordering lunch at a cafeteria. She has 3 choices for her salad, 2 choices for the main course, 4 choices for dessert an
Shkiper50 [21]
Hello there,

Your correct answer would be 72. Because 3x2x4x3= 72

I Hope this helps you!

~Jurgen
6 0
3 years ago
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