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balu736 [363]
3 years ago
6

anita made 5 1/2 cups of trail mix she wants to divide it into 3/4 cups servings how many serving can she make.

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

Answer:

7\frac{1}{3}\ servings

Step-by-step explanation:

we know that

To find out how many 3/4 cups servings can she make, divide the total cups of trail mix by 3/4

so

5\frac{1}{2} :\frac{3}{4}

Convert mixed number to an improper fraction

5\frac{1}{2}=5+\frac{1}{2}=\frac{5*2+1}{2}=\frac{11}{2}

substitute

\frac{11}{2} :\frac{3}{4}=\frac{44}{6}\ servings

Simplify

\frac{22}{3}\ servings

Convert to mixed number

\frac{22}{3}\ servings=\frac{21}{3}+\frac{1}{3}=7\frac{1}{3}\ servings

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The piece-wise linear functions can be written as follows:

  • f(x) = x, x \leq -2.
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<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

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  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

f(x) = x, x \leq -2.

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

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For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

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Hence:

f(x) = 2x - 9, x > 1.

More can be learned about linear functions at brainly.com/question/24808124

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