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Brilliant_brown [7]
3 years ago
9

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

etween the mass and the volume of the pieces of metal.
MASS (grams)            VOLUME (cubic cm.)
34.932                               4.1
47.712                              5.6
61.344                              7.2
99.684                              11.7
Mathematics
1 answer:
galben [10]3 years ago
8 0
In effect, there is a proportional relationship between the mass and the volume of the pieces of metal. The equation of the line that adapts to the given data is given by: y = 0.1174x. Therefore the proportionality constant is 0.1174
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HELP ME DO THIS PLZ
cestrela7 [59]

Answer:

It landed at a height of 14 feet

Step-by-step explanation:

Given

y = -\frac{1}{8}x^2 +4x --- Path of a t-shirt

3y = 2x - 14 --- height of bleachers

Required

Height when t-shirts land in bleachers

3y = 2x - 14

Make y the subject

y = \frac{2}{3}x - \frac{14}{3}

Substitute y = \frac{2}{3}x - \frac{14}{3} in  y = -\frac{1}{8}x^2 +4x

\frac{2}{3}x - \frac{14}{3} =  -\frac{1}{8}x^2 +4x

Multiply through by 24

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Express as:

3x^2 + 16x  -96x- 112 = 0

3x^2 -80x- 112 = 0

Using a calculator:

x = 28 or x = -\frac{4}{3}

x can not be negative:

So:

x = 28

Substitute x = 28 in y = -\frac{1}{8}x^2 +4x to calculate the height it landed

y = -\frac{1}{8} * 28^2 + 4 * 28

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2 years ago
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Answer:

1,125

Step-by-step explanation:

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