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Vinvika [58]
3 years ago
11

Hailey is a high school basketball player. In a particular game, she made some three point shots and some free throws (worth one

point each). Hailey scored a total of 14 points and made 4 times as many free throws as three point shots. Write a system of equations that could be used to determine the number of three point shots Hailey made and the number of free throws she made. Define the variables that you use to write the system.
Mathematics
2 answers:
NISA [10]3 years ago
8 0

Answer: the system of equations are

3x + y = 14

y = 4x

Step-by-step explanation:

Let x represent the number of three point shots that Hailey made.

Let y represent the number of free throws(worth one point each) that Hailey made.

Hailey made some three point shots and some free throws and

scored a total of 14 points. This would be expressed as

3x + y = 14

Hailey made 4 times as many free throws as three point shots. This would be expressed as

y = 4x

stiv31 [10]3 years ago
8 0

Answer:

3x + y = 14

4x = y

Step-by-step explanation:

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Goshia [24]

Answer:

<em>y = (-4/3)*x + 7</em>

<em />

Step-by-step explanation:

The point-slope form of the equation of a line is: <em>y = a*x + b </em>

In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that <em>a = -4/3 </em>

=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>

<em />

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

<em>y = (-4/3)*x + b</em>

<em>=> -5 = (-4/3)*9 + b </em>

<em>=> -5 = -12 + b </em>

<em>=> b = 7</em>

<em />

So that the equation in point-slope form of the given line is:

<em>y = (-4/3)*x + 7</em>

<em />

6 0
3 years ago
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Julli [10]

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Answer:

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