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3 years ago

For a piecewise function, the _____ is broken into pieces, with a different rule defining the function for each piece.

2 answers:

8 0

Ok, so we are required to type 20 characters in order to post here, so thats what this first line is......

the domain is broken into pieces

uranmaximum [27]3 years ago

3 0

A piecewise function is a function that has different functions for different domains on the horizontal axis.

Normally, they are useful to describe the movement of objects. We can describe the acceleration or speed by using these functions.

Each function has its own domain in these functions.

Answer:

"domain"

For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.

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Which of the following could be the system of nonlinear inequalities graphed below?

Ivan

Answer:

Option A.

Step-by-step explanation:

step 1

we know that

The equation of the solid line is

$y=5$

The solution is the shaded area above the solid line

The equation of the first inequality is

$y\geq 5$

step 2

The equation of the dashed line is

$y=x^{2} -5x+6$

The solution is the shaded area above the dashed line

The equation of the second inequality is

$y>x^{2} -5x+6$

therefore

The system of inequalities could be

$y\geq 5$

$y>x^{2} -5x+6$

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3 years ago

Kaley reads 12 1/4 pages in 1/3 hour

nikklg [1K]

I’m guessing the questions is how many pages she can read in an hour?
the answer for that is
• 36.75
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3 0

3 years ago

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A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whol

Mila [183]

If the area of the paper is 625 sq in, the length of one side of this square is sqrt(625 sq in), or 25 inches. That's the min. side length of an easel that is to support the whole sheet of paper along its lowest side.

7 0

3 years ago

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Against the wind a small plane flew 715 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What w

ZanzabumX [31]

Answer:

360 mi/h

Step-by-step explanation:

The speed for the outbound trip was ...

speed = distance/time = (715 mi)/(2 1/6 h) = 330 mi/h

The inbound speed was ...

(715 mi)/(1 5/6 h) = 390 mi/h

The airspeed of the plane is the average of these two ground speeds, so is ...

(330 +390)/2 = 360 . . . . mi/h

8 0

3 years ago

Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

6 0

3 years ago