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NNADVOKAT [17]
3 years ago
12

Which of the following functions is graphed below

Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0
Darn it i was looking for the same thing 
mojhsa [17]3 years ago
4 0

Answer:

y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Step-by-step explanation:

The given graph represents a piecewise function. The graph is discontinuous at x=2.

Open circle represents that the point x=2 is not included in the function and closed circle represents that the point x=2 is included in the function.

For x≤2, it a the graph of a cubic function which is generated by shifting the graph of y=x^3 to three units down.

y=x^3-3 for x≤2

For x>2, it a the graph of a quadratic function which is generated by shifting the graph of y=x^2 to 6 units up.

y=x^2+6 for x>2

Therefore, the graph represents the function

y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}.

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3 years ago
Javier is helping his parents put up posters in their movie theater. Each Poster has a thickness 0.012 inch. How thick is a stac
lions [1.4K]

Answer:

10 posters are .12 and 100 are 1.2 inches 1000 posters are 12 inches.

Step-by-step explanation:

.012×10=.12 in

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5 0
3 years ago
Add and simplify 1/5 + 1/10
aliya0001 [1]

In order to add these fractions we have to make a common denominator.

1/5 can turn into 2/10 Its the same thing. And its easier to solve with.

now lets multiply.

\frac{2}{10} × \frac{1}{10}

Now we add across

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10 + 10 = 10 ( When adding fractions like these the denominator stays the same)

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7 0
3 years ago
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6 0
3 years ago
Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used
jonny [76]

Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.


Step-by-step explanation:  Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

Then, according to the question, we have

x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.

Multiplying first equation by 4 and subtracting the second equation from it, we have

4y-3y=220-195\\\\\Rightarrow y=25,

and

x=55-25=30.

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0
3 years ago
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