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ladessa [460]
3 years ago
8

Rewrite the equation y=2|x−2|+4 as two linear functions f and g with restricted domains.

Mathematics
2 answers:
Olegator [25]3 years ago
8 0

Answer:

f(x) = -2x + 8, x < 2

g(x) = 2x, x 》2

Step-by-step explanation:

|x - 2| is:

x - 2, for x 》2

-x + 2, for x < 2

For x < 2,

f(x) = 2(-x + 2) + 4

f(x) = -2x + 8

For x 》2,

g(x) = 2(x - 2) + 4

g(x) = 2x

alexandr1967 [171]3 years ago
8 0

Answer:

f(x) = -2x + 8, x < 2

g(x) = 2x, x 》2

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What is the slope of the line y = -3x + 2?​
allochka39001 [22]

Answer:

-3 is the slope of the line

Step-by-step explanation:

Since the slope formula is y = mx +b.

M - slope of line

B - y intercept

y - is the y value of the coordinate, once u plug in x this is your answer

So since m is the slope and the equation is y + -3x +2 the slope of the line is -3

3 0
3 years ago
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At an airport it cost $7 to park for up to one hour and $5 per hour for each additional hour. Let x represent the number of hour
AURORKA [14]

Answer:

C(x)=7+5x

Step-by-step explanation:


6 0
3 years ago
The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The
hodyreva [135]

The system of equations that represents the situation is given by:

C. x² – 2y ≥ 5000, 2x + 5y < 1000

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:

x² – 2y ≥ 5000

The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:

2x + 5y < 1000

This means that option C is correct.

More can be learned about a system of equations at brainly.com/question/24342899

3 0
2 years ago
Wuestion 19
butalik [34]
25x+30x= 1625
x+y= 60
Put into calculator and you get
x=35 y=25

7 0
3 years ago
Which of the following is the graph of y=- square root x+1
maks197457 [2]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=-\sqrt{x+1}

Find the intercepts

<u>The y-intercept</u> is the value of y when the value of x is equal to zero

so

For x=0 -----> y=-\sqrt{0+1}=-1

The y-intercept is the point (0,-1)

<u>The x-intercept </u>is the value of x when the value of y is equal to zero

so

For y=0 -----> 0=-\sqrt{x+1} ----->x=-1

The x-intercept is the point (-1,0)

<em>Find the domain</em>

we know that

The radicand must be positive

so

x+1\geq0

x\geq-1

All real numbers greater than or equal to -1

The range is all real numbers less than or equal to -1

using a graphing tool

see the attached figure

4 0
3 years ago
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