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Rzqust [24]
3 years ago
8

Find the equation of the line that is parallel to the given line and passes through (5, -1). 32. y = 2x−7

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

To solve this problem, we need to use our knowledge that parallel lines have the same slope. If we have a line that is parallel to the line y = 2x - 7, our line must also have a slope of 2 (we know this line has a slope of 2 because it is in slope-intercept form, y=mx + b, where m represents slope and b represents the y-intercept).

Now, we can use our known slope and our given point to substitute into point-slope form, as shown below:

y = m (x - h) + k

y = 2 (x - 5) - 1

Next, we can simplify our equation by using the distributive property to get rid of the parentheses.

y = 2x - 10 - 1

Finally, we can complete our equation by computing the subtraction.

y = 2x - 11

We can conclude that this is the correct answer because if you plug in the point (5, -1) you get a true statement and it has a slope of 2.

Therefore, the answer is y = 2x - 11.

Hope this helps!

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<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

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

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

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From given,

a = 8508

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t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

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Step-by-step explanation:

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