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3 years ago

Charlie bought a $60 radio on sale 5%-off.how much did he pay including 5% sales tax? A) $54.15 B) $557.00 C) %57.75 D) %59.85

Mathematics

1 answer:

joja [24]3 years ago

8 0

(60(100-5)/100)(100+5)/100

60(95/100)(105/100)

60(.95)(1.05)

$59.85

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Answer:

The graph of this piece-wise function is attached below.

Step-by-step explanation:

Given the function

${\displaystyle f(x)={\begin{cases}x^{2} +2&{\text{if }}-5\leq x$

A piece-wise function is a function which has multiple pieces.
Each of the pieces have their own restrictions.

The domain of a function is the set of input, or x, values for which the function is defined.
The range is the set of all values taken by the function

As the piece

$f(x)=x^{2} +2$ has the domain [-5, 3) and graph of this piece is attached below.

and

$f(x)=x-4$ has the domain [3, 7) and graph of this piece is attached below.

So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval $\:\left[-1,\:27\right]$ .

i.e.

Domain: [-5, 3) U [3, 7)

Range: $\:\left[-1,\:27\right]$

The graph of this piece-wise function is attached below.

Keywords: piece-wise function, domain, range

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