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Korolek [52]
3 years ago
11

The total cost for buying new sneakers for the basketball team an be found by using the function y=25x + 65, is where x is the n

umber of players. If between 9 and 16 players need new sneakers. Find the domain and range of this situation
Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

Domain\ =\ \{x: 9,10,11....16\}

<em></em>Range\ =\ \{y:290, 315,340.....465\}<em></em>

Step-by-step explanation:

Given

y = 25x + 65

Required

Determine the range and domain when x = 9 to 16

The domain is the set of

Domain\ =\ \{x: 9,10,11....16\}

Solving for the range;

<em>When x = 9</em>

<em></em>y = 25 * 9 + 65<em></em>

<em></em>y = 225 + 65<em></em>

<em></em>y = 290<em></em>

<em></em>

<em>When x = 10</em>

<em></em>y = 25 * 10 + 65<em></em>

<em></em>y = 250 + 65<em></em>

<em></em>y = 315<em></em>

<em></em>

<em>When x = 11</em>

<em></em>y = 25 * 11 + 65<em></em>

<em></em>y = 275 + 65<em></em>

<em></em>y = 340<em></em>

<em></em>

<em>You continue till you get to x = 16</em>

<em>---</em>

<em>--</em>

<em>-</em>

<em>When x = 16</em>

<em></em>y = 25 * 16 + 65<em></em>

<em></em>y = 400 + 65<em></em>

<em></em>y = 465<em></em>

<em></em>

<em>Hence; the range is</em>

<em></em>Range\ =\ \{y:290, 315,340.....465\}<em></em>

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Step-by-step explanation:

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Answer:

Lines a and b are parallel

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Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

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Part 1) Find the slope of Line a

we have the points

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substitute in the formula

m=\frac{6-4}{3+3}

m=\frac{2}{6}

simplify

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Part 2) Find the slope of Line b

we have the points

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substitute in the formula

m=\frac{3+3}{-8+10}

m=\frac{6}{2}

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Part 3) Find the slope of Line c

we have the points

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substitute in the formula

m=\frac{-4-5}{3-0}

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Part 4) Find the slope of Line d

we have the points

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substitute in the formula

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we have

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therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

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Hope this helped!
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