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3 years ago

Consider the combined function. f(X) + g(X) = 9x + 4 . If f(x) = 4x - 3, find g(x)

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

g(x)=5x+7

Step-by-step explanation:

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

We are given f(x)=4x-3.

So we insert 4x-3 for f:

4x-3+g(x)=9x+4

Subtract 4x on both sides:

-3+g(x)=5x+4

Add 3 on both sides:

g(x)=5x+7

Check:

f(x)+g(x)

=(4x-3)+(5x+7)

=(4x+5x)+(-3+7)

=(9x) +(4)

=9x+4

Bingo. We did it! :)

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3 years ago

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There are 162 magazines and books in a library. There are 54 more books

Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

Given the following data;

Total number of m & b = 162

Translating the word problem into an algebraic equation, we have;

$b = m + 54$ ......equation 1

$m + b = 162$ ......equation 2

Substituting equation "1" into equation "2" we have;

$m + m + 54 = 162$

$2m + 54 = 162$

$2m = 162 - 54$

$2m = 108$

$m = \frac {108}{2}$

m = 54

Now to find the number of books;

$b = m + 54$

Substituting the value of "m" into the equation, we have;

$b = 54 + 54$

b = 108

Therefore, the total number of books in the library is 108 books.

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3 years ago

What is the value of x? Enter your answer in the box. x =

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

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3 years ago

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If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig

Otrada [13]

Answer:

$4.37 cash outlay

$29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

$32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

$27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

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Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

Alternate interpretation

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

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3 years ago

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The first one is 810

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