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Tomtit [17]
3 years ago
10

a line with a slope of 1 passes through the point (14,11) . What is the equation in slope intercept form

Mathematics
1 answer:
timurjin [86]3 years ago
7 0

Answer:

y-11 = -x + 14

Step-by-step explanation:

The quickest way to a proper equation here is to use the point-slope form:

y-k = m(x-h).  Here x = 14 and y = 11, so:

y-11 = -1(x-14), or y-11 = -x + 14.

In slope-intercept form, that'd be y = -x + 25.

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Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i
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Selling price of one book = \$(\dfrac{330}{x-15})

Profit on each book= $1.50

Profit = selling price - cost price

\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]

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So, there are 75 books.

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So price of each book = $4.

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3 years ago
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