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2 years ago

F(x) = 2(x + 6), find x if f(x) = 22

Mathematics

2 answers:

Ksivusya [100]2 years ago

7 0

F(x) = 2(x + 6) Plug in 22 for x
F(22) = 2(22 + 6) Use the Distributive Property
F(22) = 44 + 12 Add
F(22) = 56

kvasek [131]2 years ago

3 0

F(x)=2(x+6)
22=2(x+6)
22=2x+12
2x=10
x=5

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2 years ago

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Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used

x ---> the number of pizzas he makes

In this problem

The relationship between the variables x, and y, represent a proportional variation

we have the ordered pair (6,39)

$\frac{y}{x}=\frac{39}{6}$

Part 1) Find out the number of cups of flour needed to make 4 pizzas

using a proportion

$\frac{y}{4}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

Solve for y

$y=\frac{39}{6}(4)$

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Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

$\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

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$x=13(6)/39$

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