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Georgia [21]
3 years ago
14

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

y=\frac{5}{7}x-5

Step-by-step explanation:

All lines in the plane are of the form

y = mx+b

<u><em>The intersection with the Y-axis is obtained by replacing x with 0 </em></u>

<u><em>The intersection with the X-axis is obtained by replacing y with 0 </em></u>

If we want that the Y-intercept = -5, then  

-5 = m(0)+b

So b = -5

Our temporal equation is then

y = mx-5

If we want that the X-intercept = 7, then  

0 = m(7)-5

7m = 5

m = 5/7

So our final equation is

y=\frac{5}{7}x-5

Attached is the graph of the line

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Step-by-step explanation:

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The opposite is to divide.

5950 / 7 = 850

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Answer:

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Step-by-step explanation:

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Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. Find the following r
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus
Ivahew [28]

The number of days d, he must use the gym to make the membership worthwhile is at least 21 days

Equation

Non members:

Cost of swimming per day = $5

Cost of exercise per day = $9

Total = $5 + $9

= $14

Members:

Yearly fee = $300

Exercise fee per day = $4

Swimming fee = $0

The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14

= 21.42857142857142

Approximately,

21 days

Learn more about equation:

brainly.com/question/2972832

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5 0
1 year ago
Scott burned 20 calories per minute jogging for x minutes and 5 calories per minute for biking for y minutes. He spent a total o
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Answer:

x = 112

Step-by-step explanation:

We can create two equations 1. one that calculates calories burned and 2.another that calculates minutes:

20*x + 5*y = 1200

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Then we can solve for x

x = 120 - y

then we can plug that into the top equation:

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divide by 5:

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distribute:

480 - 4y + y = 240

and then do all that combining like factors what not and simplify and solve:

480 - 3y = 240

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y = 8

NOW WE CAN JUST PLUG IN THE ANSWER FOR Y TO FIND X

8+x =120

x = 112

7 0
3 years ago
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