6. What is the equation for the graphed piecewise function?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

8 0

Answer:

Step-by-step explanation:

The open circle at the origin means the rightmost piece will have domain x > 0. That is only the case in choices C and D.

The middle piece has a negative slope. That is only the case in choice D.

The appropriate piecewise function is ...

$f(x)=\begin{cases}-2,&\text{for }x\le-3\\-x+4,&\text{for }-30\end{cases}$

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Please help and show work and steps

ki77a [65]

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is $-\dfrac{\sqrt{3}}{2}$ are $\dfrac{4\pi}{3}$ and $\dfrac{5\pi}{3}$ , otherwise known as $-\dfrac{\pi}{3}$ . Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show $-\dfrac{\sqrt{3}}{2}$ .

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3 years ago

* 6. Determine the Rate of Change in the graph below.

Neko [114]

Answer: slope is 1/2

Step-by-step explanation:

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Read 2 more answers

Peter the optician sees 16 patients one Tuesday.4 are neither short nor long sighted,the total number of short sighted patients

My name is Ann [436]

The number of short-sighted patients is 7

The number of long-sighted patients is 5

The number of patients requiring a varifocal lens is 4

Step-by-step explanation:

Stepwise solution-

Throughout the question, only 3 types of patients are mentioned. Hence, it would be safe to assume that he saw/sees these 3 types of patients on Tuesday.

As per the given details-

4 are neither short-sighted patients nor long-sighted patients. Then it means no of varifocal lens patients is 4.

Hence remaining total patients=16-4=12

As given, no of short-sighted patients is 2 more than the number of long-sighted patients.

Let us assume the number of long-sighted patients as “x”

Thus, the number of short-sighted patients would be “x+2”

x+(x+2)=12 (total remaining patients)

2x=10

x=5

Hence, No. of long-sighted outpatients = 5

No. of short-sighted outpatients =7

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