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WINSTONCH [101]
3 years ago
8

Can you please help me on -5(x+2)=-(-5x+1)-x

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

x = -1

Step-by-step explanation:

<u>Step 1:  Distribute</u>

-5(x + 2) = -(-5x + 1) - x

-5x - 10 = 5x - 1 - x

<em>-5x - 10 = 4x - 1</em>

<em />

<u>Step 2:  Solve for x</u>

-5x - 10 + 5x = 4x - 1 + 5x

-10 + 1 = 9x - 1 + 1

-9 / 9 = 9x / 9

<em>-1 = x</em>

<em />

Answer:  x = -1

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3 years ago
4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Ierofanga [76]

Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

f\left(x\right)\:=\:\frac{1}{3}x\:+\:5

g(x) = 3x - 15

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

y=\frac{1}{3}x+5

Replace x with y

x=\frac{1}{3}y+5

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YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

4 0
2 years ago
To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran
lina2011 [118]

For this case we convert the mixed numbers to fractions:

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Now we add the fractions:

\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =

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8 \frac {3} {8}gallons

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