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brilliants [131]
2 years ago
13

What is the range of the function f(x) = (x - 1)? when the domain is {-5, 0,5}?

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
7 0

Answer:

f(x) = (x - 1)2

f(x) = 2x - 2

let x = -5, f(x) = -12

let x = 0, f(x) = -2

let x = 5, f(x) = 8

range is {-12, -2, 8}

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Emery bought 3 cans of beans that had a total weight of 2.4 pounds. If each can of beans weighed the same amount, which model co
Alexxx [7]

Answer:

  • y=0.8x
  • A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
  • On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12).

Step-by-step explanation:

<u>Statement 1</u>

If 3 cans of beans weigh 2.4 pounds

Then 1 Can will weigh (2.4 ÷ 3)=0.8 Pounds

If y is the total weight of x number of cans, then: y=0.8x

<u>Statement 2</u>

If x=5, then y=0.8(5)=4

If x=15, then y=0.8(15)=12

If x=20, then y=0.8(20)=16

Therefore the below statement applies:

A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.

<u>Statement 3</u>

From the pair of points above, we have (5,4) and (15,12). Therefore if on a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds.) A line goes through points (5, 4) and (15, 12).

3 0
3 years ago
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the electricity goes out in a house. the temperature in the house changes by -8 fahrenheit in 4 hours. on average, by how many d
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Answer:

-2 degrees per hour

Step-by-step explanation:

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3 years ago
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Write the equation of the line that passes through the points (-2,0) and (1,2).
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Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

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(2 - 0) / (1 + 2)

2 / 3

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Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

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3 years ago
Alex has a small notebook that is shaped like a rectangle. She knows one side is 6 cm and another side is 4 cm. Explain how to f
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Add all of the side lengths together.
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Answer:

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74.88 times 0.75 =56.16

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