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xenn [34]
1 year ago
15

Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal

to f(x) · g(t)?OA.41 - 81 + 61OB.SIKIAOC.21 + 6I + 2D.6

Mathematics
1 answer:
lisabon 2012 [21]1 year ago
4 0

Given the following functions below,

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}

Factorising the denominators of both functions,

Factorising the denominator of f(x),

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}

Factorising the denominator of g(x),

\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}

Multiplying both functions,

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2 if you mean 1 of each so it would be 50 cards

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3 years ago
Write an algebraic expression that Marshall can use to determine the total cost of buying a watermelon that weighs w pounds and
VMariaS [17]

Answer:

The answer is that the cost will be a total of: $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight and tomato weight.

An equation would be:

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3 0
3 years ago
A dozen bran muffins cost $9.48. Which equation represents the cost, y, of x muffins
swat32

Answer:

12y+9.48x=0

Step-by-step explanation:

Note dozen means 12 in mathematics

So 12 muffins cost $9.48

X muffins cost $y

So let's cross multiply

12×y=9.48×x

12y=9.48x

Substrate 9.48x from both sides

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6 0
3 years ago
PLEASE HELP!! THANK YOU!
Korvikt [17]
Answers A and C and correct for this equation. 
5 0
3 years ago
Read 2 more answers
Variables y and x have a proportional relationship, where y = 18 when x = 2.
Tanya [424]

Answer:

x = 4

Step-by-step explanation:

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2 * 2  = 4, so x = 4

4 0
2 years ago
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