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3 years ago

If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).

Mathematics

1 answer:

erica [24]3 years ago

3 0

Answer:

C. (f – g)(x) = –2x – 2

Step-by-step explanation:

(f – g)(x) = f(x) – g(x)

= (–5x – 4) – (–3x – 2)

= –2x – 2

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

3 years ago

what is the value of m in the figure below? if necessary round your answer to the nearest tenth of the unit.

gulaghasi [49]

Answer:

C^2=AxN

M^2=AxN

M^2=17x4

M^2=68

M=8,2

Step-by-step explanation:

6 0

3 years ago

I don't understand how to solve this please help and if you can please show work, thank you

Korvikt [17]

So you know:
1) There are 180° in a triangle.
2) A straight line is also 180°.
So the three angles in the triangle are
2x, 103-x, and (180-(6x-7)).
Solve for x!
2x + 103-x + (180-(6x-7)) = 180
2x + 103-x + 180-6x+7 = 180
-5x = -110
x = 22

4 0

3 years ago

Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.

dimulka [17.4K]

The question is an illustration of equivalent ratios.

3 cups of dark orange require 3 ounces of yellow paint
3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

$Red = 7oz$

$Yellow =1oz$

To make 3 cups, we simply multiply by 3, because $3 \times 1 = 3$

So, we have:

$Red = 7oz \times 3 = 21oz$

$Yellow =1oz \times 3 = 3oz$

2 cups of light orange require

$Red =3oz$

$Yellow =13$

To make 3 cups, we simply multiply by 1.5, because $2 \times 1.5 = 3$

So, we have:

$Red = 3oz \times 1.5 = 4.5oz$

$Yellow = 13oz \times 1.5 = 19.5oz$

Hence:

3 cups of dark orange require 3 ounces of yellow paint
3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

5 0

2 years ago

Celik, S. (2011). A media comparison study on first aid instruction. Health Education Journal. 72(1), 95-101

aniked [119]

Answer:

The answer is "Option a".

Step-by-step explanation:

In the given scenario, The appropriate test for the teaching profession's accomplishment pre and post-class would be the two-sample t-test with dependent samples, that's why choice "a" is correct.

7 0

3 years ago