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3 years ago

What is the range of the function graphed below?

Mathematics

2 answers:

solmaris [256]3 years ago

4 0

Answer:

second one

Step-by-step explanation:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

[-4,0) ∪ [2, ∞)

Step-by-step explanation:

For piecewise function domain and range, we need to understand the difference between "(" and "[" or ")" and "]"

The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
The brackets ( "[" and "]" ) are use for "closed circles" in the graph.

Range is the set of y-values for which the function is defined.

Now,

The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be

[2, ∞) (infinity is always with parenthesis)

Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:

[-4,0)

This is the range, 2nd answer choice is correct.

[-4,0) ∪ [2, ∞)

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RSB [31]

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

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The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

$\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49$

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = $A=\pi r^2$

We are given the diameter ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

$A=\pi 3^2\\3^2=9\\A=9\pi$

Remember we do not apply pi because the answer should be in terms of pi.

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mestny [16]

Working together three workers would take 1 hour 36 minutes to finish the job

Solution:

Given that first worker can finish the job in 8 hours

So in one hour, first worker can do $\frac{1}{8}$ th of the work

The second worker can finish the job in 4 hours

So in one hour, second worker can do $\frac{1}{4}$ th of the work

The third worker can also finish the job in 4 hours

So in one hour, third worker can do $\frac{1}{4}$ th of the work

The three workers working together in 1 hour can do:

$\frac{1}{8} + \frac{1}{4} + \frac{1}{4} = \frac{1 + 2 + 2}{8} = \frac{5}{8}$

The three worker can thus do $\frac{5}{8}$ th of the work in one hour

Hence the three of them together can finish the work in $\frac{8}{5}$ hours

$\frac{8}{5} = 1\frac{3}{5}$ hours

Thus working together three workers would take 1 hour 36 minutes to finish the job

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