Rewrite the absolute value function y=|x|-3 as two linear functions, one that has the domain x<0, and one that has the domain x≥0.

Two linear functions, one that has the domain x < 0 is y = - x - 3

And, one that has the domain x ≥ 0 is y = x + 3.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

The absolute value function is,

⇒ y = |x| - 3

So, The linear function which has the domain x < 0 is,

⇒ y = - x - 3

And,  The linear function which has the domain x ≥ 0 is,

⇒ y = x - 3

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Solve the following expression: (36 + 14) ÷ 10 . Show all the steps taken. *

A stock price is losing value at a rate of 4 cents every minute. After 15 minutes, the price of the stock is $10.24 (1024 cents).

The equation−3(2x −5)=−12x +15 −18x is solved by four students. They each show the first step of their work. Which student has an invalid first step?

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Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card? (Use the table to help you solve the problem; you will need to copy it onto a piece of paper

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Nicholas has some cans at home to donate to the soup kitchen, but decides to start a can drive at his school to see if others will help. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Which statements are true based on the equation given. Select all that apply.


A Nicholas had 235 cans at home.
B The school collected 235 cans a day.
C Nicholas had 15 cans at home.
D The school collected 15 cans daily.

Suppose that y is directly proportional to x, and y = −16 when x = −2. What is the constant of proportionality?

A) −8
B) −
1
8
C) 1
8
D) 8

Identify the pattern rule for this sequence: 2, 8, 7, 13, 12, 18, 17…
multiply by 4, divide by 1
add 6, subtract 1
add 5, subtract 1
multiply by 4, subtract 1

Setting 7 / 3 equal to which ratio would result in a valid proportion? a.9 / 49 b.18 / 42 c.42 / 18 d.49 / 9

Which group of numbers is listed from least to greatest?

A. 5, 3, 2, -6, -8
B. -7, -4, -2, 1, 5
C. -2, 3, -4, 5, -7
D. -2, -3, -5, 0, 4

The average yearly precipitation for Gulfport,
Mississippi, is 65.3 inches. About how much precipitation
does the area receive each month? Explain why your
answer is reasonable.
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Pentagon M’N’P’Q’R’ is larger than pentagon MNPQR, because the scale factor is greater than 1.

Pentagon M’N’P’Q’R’ is smaller than pentagon MNPQR, because the scale factor is less than 1.

Pentagon M’N’P’Q’R’ is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Pentagon M’N’P’Q’R’ is larger than pentagon MNPQR, because the scale factor is less than 1.

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The dog knows it should not be traveling at this time, but follows his owner. Would this be an example of an internal or external conflict? Why?

All of last year’s car models were marked down 40%. Tracy wants to buy a car on sale for $18,000. What was the retail price of the car?

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An office supply stores marks up their prices by 30%. Which of the following could be items sold by the store? Select all of that apply.

office chair: cost: $72, selling price: $94.50
printer paper: cost: $4.60, selling price: $5.98
box of paper clips: cost: $1.20, selling price: $1.65
file cabinet: cost: $60, selling price: $78

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A 60-minute TV program consists of 5 commercials each 2.5 minutes and four equal length entertainment segments. How long is each entertainment segment?
A. 12.5 Minutes
B. 5.875 Minutes
C. 11.875 Minutes
D. 52.5 Minutes

30 points if you aswer this[tex]\frac{1}{3}x \frac{3}{4} x\frac{4}{5}[/tex]

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whAt rate describes it

(+1) + ? + ? + ? = (-1)

Michael decided to make French toast. He finds a recipe that calls for the following ingredients:

FRENCH TOAST
12 slices of bread
4 eggs
1 cup of milk
1 teaspoon of cinnamon

Michael makes a single recipe and shares the food equally among himself AND his four family members. How many slices of French toast does each person receive?

A.Each person gets 2 2/5 slices of French toast.
B.Each person gets 1/2 slice of French toast.
C.Each person gets 2 slices of French toast.
D.Each person gets 12 slices of French toast.
E.Each person gets 5 slices of French toast.
F.Each person gets 5/2 slices of French toast.