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inysia [295]
3 years ago
15

Study the function below and then answer the questions that follow.

Mathematics
2 answers:
Licemer1 [7]3 years ago
4 0

Answer:

Domain: all real values of x except -2

Range: y > -4

Step-by-step explanation:

Domain: union of all intervals of x

x < -2 U -2 < x < 0 U x》0

This includes all real values of x except x = -2

When x < -2

-x - 2 > 0

When -2 < x < 0

-4 < -x² < 0

When x》0

x》0

Range is the union of all these outputs

y > 0 U -4 < y < 0 U y》0

y > -4

NeX [460]3 years ago
3 0

Answers and Step-by-step explanations:

Notice that -2 is not included in the inequality, but any other number is. That means that the domain is all real numbers except x = -2.

For the range, I recommend you draw a graph (see the attachment).

As can be seen, the range will be y > -4.

Hope this helps!

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15 men can do a piece of work in 80 days. If 5 more men are added, how long will it take to complete same piece of work?​
tresset_1 [31]

Answer:

Step-by-step explanation:

This is an inverse proportion.

men = k / Time         So first we need to find k

k = men * Time         Substitute values

k = 15*80

k = 1200  Notice the units are man days.

Now what happens if we increase the number of men to 20? What happens to the number of days.

20 = 1200 / time          Multiply both sides by time

20*time = 1200            Now divide by 20

time = 1200/20

Answer: time = 60 days

4 0
2 years ago
Find the surface area of the composite figure.
WINSTONCH [101]

Answer:

382 cm²

Step-by-step explanation:

Front face + Back face:

A = 2(a + b)h/2

A = 2(14 cm + 8 cm)(7 cm)/2

A = 154 cm²

Left face:

A = 7 cm × 6 cm = 42 cm²

Right face:

A = 9 cm × 6 cm = 54 cm²

Bottom face:

A = 14 cm × 6 cm = 84 cm²

Top face:

A = 6 cm × 8 cm = 48 cm²

Total surface area =

= (154 + 42 + 54 + 84 + 40) cm²

= 382 cm²

3 0
10 months ago
The question says 5k+6k+4k=90. What does k equal?
alina1380 [7]
5k+6k+4k=90 \\ \\ 15k = 90 \ / \ simplify \\ \\ k =  \frac{90}{15} \ / \ divide \ each \ side \ by \ 15 \\ \\ k = 6 \ / \ simplify \\ \\

The final result is, k = 6.
5 0
3 years ago
3a + b - 2 = b thank you
Gre4nikov [31]

Answer:

Get rid of b:

3a+b-2=b

3a-2=0

3a=2

A=2/3

7 0
3 years ago
Given triangle TVU list the sides of the shortest to longest
Margaret [11]

Answer:

VU, VT, TU

Step-by-step explanation:

List the side lengths of triangle TUV from shortest to longest.

A. VU, VT, TU

B. VT, TU, VU

C. VT, VU, TU

D. VU, TU, VT"

8 0
2 years ago
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