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2 years ago

If f(x) = -5% - 4 and g(x) = -3x - 2, find (f+ g)(x). Need help !

Mathematics

1 answer:

tankabanditka [31]2 years ago

5 0

Answer:

$\large\boxed{(f+g)(x)=-8x-6}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\f(x)=-5x-4,\ g(x)=-3x-2\\\\\text{Substitute:}\\\\(f+g)(x)=(-5x-4)+(-3x-2)\\\\=-5x-4-3x-2\qquad\text{combine like terms}\\\\=(-5x-3x)+(-4-2)\\\\=-8x-6$

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Answer:
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2 years ago

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

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$=-\frac{1}{4}+1+\frac{1}{2}$

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$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

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$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

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$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

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the answer is

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3 years ago

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Answer:

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Step-by-step explanation:

This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.

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Finally, convert r to a percent.

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