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dybincka [34]
2 years ago
14

Y-3=5(x-2) what are the intercepts t of x and y x=(_,_) y=(_,_)

Mathematics
1 answer:
yan [13]2 years ago
4 0

The\ x\ intercept\ is\ (\frac{7}{5}, 0)

The y intercept is (0, -7)

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y - 3 = 5(x - 2)

<em><u>Find the x intercept</u></em>

Substitute y = 0 in given equation

0-3=5(x-2)\\\\-3=5x - 10\\\\5x = -3 + 10\\\\5x = 7\\\\x = \frac{7}{5}\\\\Thus\ the\ x\ intercept\ is\ (\frac{7}{5}, 0)

<em><u>Find the y intercept:</u></em>

Substitute x = 0 in given equation

y - 3 = 5(0-2)\\\\y - 3 = -10\\\\y = -10 + 3\\\\y = -7

Thus the y intercept is (0, -7)

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Part A
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The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.

<u>Given the Parameters</u> :

  • Total amount earned = $238

  • Number of hours worked = 8 hours

Hourly earning = Total earning ÷ number of hours worked

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Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.

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2 years ago
A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate
neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:  

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate  munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

C-2=\frac{1}{11}*(C+D-2)...(1)

We are also told if he instead added 4  glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

C=\frac{1}{7}*(C+D+4)...(2)

Upon substituting C's value from equation (2) in equation (1) we will get,

\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)

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11*(C+D-10)=11*\frac{7}{11}*(C+D-2)  

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65 and 13x - 39 are vertical angles so they are equal

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3 years ago
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