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vovangra [49]
3 years ago
12

If y varies directly as x, find the direct variation equation for the situation

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer:

y = x / 7

Step-by-step explanation:

For us to get direct variation equation, we must introduce a constant term.

If y varies directly as x:

y ~ x

y = Kx

Where K, is the introduced constant.

Now let's solve to get a direct variation equation.

When y=3 , x=21

We substitute, y=3 and x=21 in the

y = Kx

3 = K 21

Divide both sides by 21

3 / 21 = K 21/ 21

K = 3/21

K = 1 / 7

Therefore, we introduce K = 1 / 7 into the mother equation.

y = 1/7 * x

y = x / 7

The direct variation equation for the situation:

y = x / 7

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Option A). 7, -4 and 1/3

To find the zeros you can factor the polynolial into (3x-1)((x+4)(x-7)

Then:
3x -1 =0 => x = 1/3
x+4=0 => x = -4
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Those are the three zeros.

7 0
4 years ago
A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
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Area of the figure:
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Area of the shaded region:
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6 0
3 years ago
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Inga [223]

Answer:

$5.47

Step-by-step explanation:

Given data:

Annie has 4 dollar , 11 dimes, 4 pennies.

Tommy has 3 dimes, 3 pennies.

To add the money, let us first convert dime and penny into dollar.

1 dollar = $1

11 dime = $1.1

4 penny = $0.04

3 dime = $0.3

3 penny = $ 0.03

Total money = Annie’s money + Tommy’s money

                     = $4 + $1.1 + $ 0.04 + $0.3 + $0.03

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5 0
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What’s the correct answer for this question?
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Answer

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The height:

the height is the distance from point (2,-3) perpendicular to the base intersecting it at point (2,1)

the height is then the distance between the 2 points = 4

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The area:

the area = 1/2 x 4 x 7 = 28/2 = 14 units²

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Answer:

The answer is 5.

Step-by-step explanation:

$147 subtract parking is $135.

Then divide the $135 by the cost of person which is $27.

Answer: 5

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