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ICE Princess25 [194]
3 years ago
5

A sweatshirt with a regular price of $34 is first discounted by 20% and then by an additional 10%. What is the final sale price?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
Price of the sweatshirt = $34

First discount = 20% x $34 = 0.1 x 34 = $6.80

Price after discount = $34 - $3.40 = $27.20

Additional discount = 10% x $27.20 = $2.72

Price after additional discount = $27.20 - $2.72 = $24.48

Answer: FInal sale price = $24.48
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Answer:

A hole at x=-4.

Step-by-step explanation:

This is a fraction so we have to worry about division by zero.

The only time we will be dividing by 0 is when x+4 is 0.

Solving the equation

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Subtract 4 on both sides:

x=-4

So there is either a vertical asymptote or a hole at x=-4.

These are the kinds of discontinuities we can have for a rational function.

If there is a hole at x=-4, then x=-4 will make the top zero and can be cancelled out after simplification.

If is is a vertical asymptote, x=-4 will make the top NOT zero.

Let's see what -4 for x in x^2+6x+8 gives us:

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Top and bottom are 0 when x=-4.

Let's see what happens after simplication.

We are going to factor a^2+bx+c if factorable by finding two numbers that multiply to be c and add up to be b.

So what 2 numbers together multiply to be 8 and add up to be 6.

I hoped you said 4 and 2 because (4)(2)=8 where 4+2=6.

\frac{x^2+6x+8}{x+4}=\frac{(x+4)(x+2)}{x+4}=x+2

We we able to cancel out that factor that was giving us x=-4 is a zero.  

Therefore there is a hole at x=-4.

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