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2 years ago

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

1 answer:

3 0

A) $(f+g)(x)=f(x)+g(x)=(4x-5)+(3x+9)=7x+4$
B) $(f*g)(x)=f(x)*g(x)=(4x-5)(3x+9)=12x^2+21x-45$
C) $f(g(x)) = 4(3x+9)-5 = 12x+31$

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2 years ago

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The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.

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Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let $A$ represent the age of Afful and $N$ represent the age of Naomi.

The sum of their ages is 34. In other words:

$A+N=34$

In 5 years time, Afful will be two times the age of Naomi <em>now</em>. In other words:

$A+5=2N$

Solve for the system. Substitute.

$A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21$

Afful is currently 21 and Noami is currently 13.

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2 years ago

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The glass part of a window is 32 1/2 inches wide. Including the frame on the left and right sides, the total width is 42 inches.

Lisa [10]

The glass part of the frame is an illustration of fractions

The width of each side of the frame is 5 1/4 inches

<h3>How to determine the width of each side?</h3>

The given parameters are:

Total width = 42 inches
Glass part = 32 1/2 inches

Represent the width of each side with x.

So, we have:

Glass part + 2x = Total width

Substitute known values

31 1/2 + 2x = 42

Subtract 31 1/2 from both sides

2x = 10 1/2

Divide both sides by 2

x = 5 1/4

Hence, the width of each side of the frame is 5 1/4 inches