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3 years ago

Help? quadratic functions

Mathematics

1 answer:

Masteriza [31]3 years ago

6 0

Quadratic functions are squared so every equation that has been squared is a correct answer.

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3 years ago

What division problem equals 184.32

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3 years ago

You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed

shtirl [24]

<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

$Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\$

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>

<em><u>Solution</u></em>:

Given that,

<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>

Downstream:

Speed = r miles per hour

Distance = 3 miles

Time taken is given as:

$Downstream\ time = \frac{distance}{speed}\\\\Downstream\ time = \frac{3}{r} ------- eqn\ 1$

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>

Upstream:

Speed = 0.5r miles per hour

Distance = 4 miles

Therefore,

$Upstream\ time = \frac{4}{0.5r} -------- eqn 2$

<h3>Finally, you turn around and return to your original starting point at a speed of r + 1 miles per hour</h3>

Therefore,

$time = \frac{1}{r+1} ----------- eqn\ 3$

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>

The total time taken is:

eqn 1 + eqn 2 + eqn 3

$Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\$

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>

Substitute r = 4

$Total\ time\ taken = \frac{3}{4} + \frac{4}{0.5 \times 4} + \frac{1}{4+1}\\\\Total\ time\ taken = 0.75 + 2 + 0.2\\\\Total\ time\ taken = 2.95$

Thus it takes 2.95 hours when r is 4 miles per hour

8 0

3 years ago