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3 years ago

Consider the function given by the graph. What are these values?

Mathematics

2 answers:

Natalija [7]3 years ago

5 0

As you see in the picture, there are two lines that could maybe represent two linear functions. However, this is not true because of the solid point and the hollow point. This is an inequality equation that has points of discontinuity.

Points of discontinuity are breaks in the graph that are a result of an undefined point when the f(x) is substituted with a point of x that is not part of the solution. So, technically, the graph is made from one rational expression.

So, when it says f(-2), this is the y-value at x=-2. That means f(-2)=2, f(0)=3 and f(4)=-1. Specifically, there are two points at x=0, but we take the solid point only.

Travka [436]3 years ago

5 0

Answer:

F(-2) = 2

F(0)= 3

F(4)= -1

Step-by-step explanation

Just took test

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Bo and Brica are yoga instructors. Between the both of them, they teach 46 yoga classes each week. If Brica teaches 11 fewer tha

PtichkaEL [24]

Bo teaches 19 classes and Brica teaches 27 classes per week

Step-by-step explanation:

Bo and Brica are yoga instructors

They teach 46 yoga classes each week
Brica teaches 11 fewer than twice as many as Bo

We need to find how many classes each instructor teaches per week

Assume that Bo teaches x classes per week

∵ Bo teaches x classes per week

∵ Brica teaches 11 fewer than twice as many as Bo

∵ Twice means times 2 and 11 fewer is - 11

- Multiply x by 2 and subtract 11 from the product

∴ Brica teaches 2x - 11 classes per week

∵ They teach 46 classes per week

- Add the number of their classes and equate the sum by 46

∴ x + 2x - 11 = 46

- Add the like terms in the left hand side

∴ 3x - 11 = 46

- Add 11 to both sides

∴ 3x = 57

- Divide both sides by 3

∴ x = 19

∵ Bo teaches x classes per week

∴ Bo teaches 19 classes per week

∵ Brica teaches 2x - 11 classes per week

∴ Brica teaches 2(19) - 11 = 27 classes per week

Bo teaches 19 classes and Brica teaches 27 classes per week

Learn more:

You can learn more about the linear equations in brainly.com/question/11306893

#LearnwithBrainly

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3 years ago

What set of transformations is performed on triangle RST to form triangle R’S’T’?

DanielleElmas [232]

Answer:

The last option is correct

Step-by-step explanation:

A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation about the origin takes S to the point (-1, -1) where we have S' .

8 0

3 years ago

Read 2 more answers

Find the opposite of 1/3 and of -7/12

dimaraw [331]

Opposite number is the same number with the opposite sign:

So the opposite of $\frac{1}{3}$ is $-\frac{1}{3}$ , since the original number is positive

opposite of $- \frac{7}{12}$ is $\frac{7}{12}$ , since the original number is negative

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3 years ago

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Victor Malala has a net income of $1240.00 per month. If he spends $150.00 on food, $244.00 on a car payment, $300.00 on rent, a

Nady [450]

Net Income: I=$1,240.00
Food: F=$150.00
Car payment: C=$244.00
Rent: R=$300.00
Saving: S=$50.00
Other things: O=?

F+C+R+S+O=I
$150.00+$244.00+$300.00+$50.00+O=$1240.00
Solving for O:
$744.00+O=$1240.00
$744.00+O-$744.00=$1240.00-$744.00
O=$496.00

Percent of his net income Victor can spend on other things: P=?
P=(O/I)*100%
P=($496.00/$1240.00)*100%
P=(0.40)*100%
P=40%

Answer: 40% of his net income Victor can spend on other things.

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3 years ago

The graph shows two lines, A and B.

Papessa [141]

Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)

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3 years ago