3 years ago

A 40 mile boat ride costs a group of people $405. To rent that same boat for a 100 mile

1 answer:

8 0

There has to be more to the questions, but I’ll give you what I came up with...

Answer: 40 mile- $10.125; 100 mile- $8.55

Step By Step: Divide your cost by the amount of miles for each part. $405/40 and then $855/100.

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By using least common denominator, the rational equation can be expressed into a standard form quadratic equation as x^2 - 10x + 8 = 0.

In this question,

The rational equation is,

$\frac{1}{x}+\frac{1}{x-2}=\frac{1}{4}$

The standard form quadratic equation can be expressed as

$ax^{2} +bx+c=0$

The above rational equation can be expressed into a standard form quadratic equation by using least common denominator method as,

⇒ $\frac{1}{x}+\frac{1}{x-2}=\frac{1}{4}$

⇒ $\frac{(x-2)+x}{(x)(x-2)}=\frac{1}{4}$

⇒ $\frac{2x-2}{x^{2} -2x}=\frac{1}{4}$

⇒ $4(2x-2)=x^{2} -2x$

⇒ $8x-8=x^{2} -2x$

⇒ $x^{2} -2x-8x+8=0$

⇒ $x^{2} -10x+8=0$

Hence we can conclude that by using least common denominator, the rational equation can be expressed into a standard form quadratic equation as x^2 - 10x + 8 = 0.

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1 year ago

If f(x)=\sqrt(3x+2) , what is the equation for f-1(x)

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If $f(x)=\sqrt{3x+2}$ then $f^{-1}(x)=(3x+2)^2$ .