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Sladkaya [172]
3 years ago
6

What is the equation for Graph B? Use C for hours in class and S for hours studying. Use * to indicate multiplication

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

S=\frac{C}{2}

Step-by-step explanation:

From the graph B,

Let the equation of the line representing the relation between hours spent in studying 'S' and hours spent in class 'C' is,

S = mC + b

Where m = Slope of the line

b = y-intercept of the line

We choose two points (2, 1), and (4, 2) lying on the line.

Slope 'm' = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{2-1}{4-2}

m = \frac{1}{2}

y-intercept 'b' = 0

Equation of the line will be

S = \frac{1}{2}C

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A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 fe
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Answer:

1. h = 2.4t + 4

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Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

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Now the equation of the line which shows the height is gotten from

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Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

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So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

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What is the answer to this?
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The subtraction of the polynomial (19xy + 3y - 28) - (- 15xy - 2y - 15) is 34xy + 5y - 13

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Given:

(19xy + 3y - 28) - (- 15xy - 2y - 15)

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Answer:

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