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Delvig [45]
3 years ago
7

Fathi has $1.10 , in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25. Fathi want

s to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?
Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

-$1.9

Step-by-step explanation:

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

!!

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If(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
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Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

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For regular functions such as, say:

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What do we end up doing with this function? All we do is plug in various values of x into

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When composing functions we do the same thing but instead of plugging in numbers we are

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Examples

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g(x) = x

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1

x

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When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

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x

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Thus, (f ◦ g)(x) = f(g(x)) = 3x

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x + 4.

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(17)

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f( ) = 2( ) (24)

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(28)

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Answer:

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