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4 years ago

14

cheryl mixed 32 cups of either orange juice and pineapple juice using a ratio of 3 cups of orange juice to 5 cups of pineapple j

uice. How many cups of pineapple juice did she use?

1 answer:

makvit [3.9K]4 years ago

5 0

So our equation is 3x + 5y = 32

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$\frac{5}{12}$ = 0.41667

$\frac{3}{8}$ = 0.375

You are correct! 0.41667>0.375

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3 years ago

A. f(x) = l-2xl - 3<br> Domain: {1, 2, 3}<br> Find the range

gizmo_the_mogwai [7]

Hello there!

We are given the function:

$\displaystyle \large{ f(x) = | - 2x| - 3} \\$

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

$\displaystyle \large{ f(1) = | - 2(1)| - 3} \\ \displaystyle \large{ f(1) = | - 2| - 3} \\$

Recall that any numbers in absolute value are always positive.

$\displaystyle \large{ f(1) = 2 - 3} \\ \displaystyle \large{ f(1) = - 1} \\$

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

$\displaystyle \large{ f(2) = | - 2(2)| - 3} \\ \displaystyle \large{ f(2) = | - 4 | - 3} \\ \displaystyle \large{ f(2) = 4 - 3} \\ \displaystyle \large{ f(2) = 1}$

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

$\displaystyle \large{ f(3) = | - 2(3)| - 3} \\ \displaystyle \large{ f(3) = | - 6| - 3} \\ \displaystyle \large{ f(3) = 6 - 3} \\ \displaystyle \large{ f(3) = 3}$

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

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3 years ago