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garri49 [273]
3 years ago
8

4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

ill on hand and t days being available.
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

c(t)=-18t+212.

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation c(t)=my+b, where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

m=\frac{140-50}{4-9}

m=\frac{90}{-5}

m=-18

Now, we will use point-slope form of equation y-y_1=m(x-x_1) and substitute m=-18 and coordinates of point (9,50) as:

y-50=-18(x-9)

y-50=-18x+162

y-50+50=-18x+162+50

y=-18x+212

Therefore, our required equation would be c(t)=-18t+212.

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Answer:

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

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Answer:

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Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2(\frac{x+1}{a}) - 1 = \frac{(2x-1)+1}{a}

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The two <em>a</em>s on the left cancel out                   2(x+1)=2x+<em>a</em>

Distribute the 2                                               2x+2=2x+<em>a</em>

Then subtract 2x from both sides                        2 = <em>a</em>

Therefore, <em>a</em> = 2

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