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White raven [17]
3 years ago
11

Suppose the a mountain bike that sells for $419 is on sale for 20.5% off.

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0
Regular price:  $419
Sale price:  (1-0.205)($419) = $333.11

The bike will cost $333.11 before tax.  You haven't shared the tax rate, but I can at least tell you that the cost of the bike after tax will be 

(1.00 + rate as a decimal fraction)*$333.11.

Example:  If the tax rate is 7.5%, then the bike will cost (1.00+0.075)*($333.11).
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Answer:

\frac{x^2+2x}{x-3}

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

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VARVARA [1.3K]

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Step-by-step explanation:

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