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myrzilka [38]
3 years ago
14

Can somebody help me answer this mathematics question? I'm in precalculus, and this is the last homework question, but I am stum

ped. I tried asking on Quora, but I got an unclear answer and one that accused me of cheating because I asked. I could not understand the teacher's or the book's explanation on how to solve this problem.
"The cost of sending mail is $0.37 for a letter weighing less than 1 ounce, $0.60 for a letter weighing at least one ounce, but less than 2 ounces, and $0.83 for a letter weighing at least 2 ounces, but less than 3 ounces."
Write a function c(x) that gives the cost of mailing a letter weighing x ounces.
Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

Step-by-step explanation:

this is a piecewise function

in this context, to find the cost of any package weight x you figure out which piece of the function it fits in.

examples:

x = .5

c(x) = 0.37 (because x is less than 1)

x = 1

c(x) = 0.60 (because x is equal to 1 but still less than 2)

x = 2.9

c(x) = 0.83 (because x is more than 2 but less than 3)

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Solve the inequality 12(1/2x-1/3)>8-2x
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Answer:

The answer is

<h2>x >  \frac{3}{2}</h2>

Step-by-step explanation:

<h3>12( \frac{1}{2} x -  \frac{1}{3} ) > 8 - 2x</h3>

<u>Expand the terms in the bracket</u>

That's

<h3>6x - 4 > 8 - 2x</h3>

Move - 2x to the left side of the inequality to make it positive

<h3>6x + 2x - 4 > 8 \\ 8x - 4 > 8</h3>

<u>Add 4 to both sides</u>

That's

<h3>8x - 4 + 4 > 8 + 4 \\ 8x > 12</h3>

<u>Divide both sides by 8</u>

<h3>\frac{8x}{8}  >  \frac{12}{8}</h3>

We have the final answer as

<h3>x >  \frac{3}{2}</h3>

Hope this helps you

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