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Burka [1]
3 years ago
10

Oliver traveled 124.25 miles in 3.5 at a constant speed. What is the constant of proportionality in miles per hour?

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

Oliver traveled 124.25 miles in 3.5 hours at a constant speed

Rate = 124.25 / 3.5 = 35.5 miles per hour (MPH)

Answer:

The constant of proportionality is 35.5 miles per hour (MPH)

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Answer:

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Explanation:

1. -3=-2x^2+2x    : Given (addition property / add - 3 to both sides)

2. -3 = - 2(x^2-x)    : Given (commom factor - 2)

3. -3-1/2=-2(x^2-x+1/4)

    To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

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5. Divide both sides by - 2 to get the next expression:

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6. The last step is to extract squere root from both sides of the equality:

(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}

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