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3 years ago

Tell whether each equation represents a direct variation. if so, identify the constant of variation.

Mathematics

1 answer:

Ivenika [448]3 years ago

7 0

Answer:

1. Not a direct variation

2. Direct variation (constant= -4)

3. Direct variation (constant= -1)

Step-by-step explanation:

A direct variation is a function of the type

y = k*x, where k can be any real number

First case

1. y=4x+9

The term 9 interferes with the expression (it creates an offset for the value)

2. 2y=-8x

It is a direct variation, y = -4x

3. x+y=0

It is a direct variation, y = -x

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Jasmine would like to purchase a game system that normally cost $210 but is on sale for 35% off the regular price. Jasmine earns

Rainbow [258]

35% off of 210 is 64.05, which will bring the total down to $145.95.
If Jasmine works 50 hours, she will earn $172.50.
Yes, she will have enough money to purchase the game.
Hope this Helps!!

3 0

3 years ago

At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $55 per mo

spin [16.1K]

Answer:

8 personal training sessions, 3 from Sliver Gym and 5 from Fit Factor.

Step-by-step explanation:

Alright, write the multiples of and 25 and 15 until both reaches the same number.

25, 50, 75

15, 30, 45, 60, 75

I don't really understand the final part of the question, but I hope it helps.

3 + 5 = 8

3 from Sliver Gym and 5 from Fit Factor.

6 0

3 years ago

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

Which inequality has a closed circle when it is graphed on a number line?

Natalka [10]

Answer:

the answer is D) X _> 3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Select the correct answer.

adell [148]

Answer:

its c. x = -2.5 and x = -2

Step-by-step explanation:

multiply function (g)(x) = (-2x-5)(x-2)

= -2x^2+4x-5x+10

first get out -2x(x+2)-5(x+2)

(-2x-5) or (x+2) = 0

x=-5/2 or x=-2

its c that both points covered in that line of x axis

8 0

2 years ago