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REY [17]
3 years ago
9

Use the function y=0.0875x^2 - `10.5x + 436.25 calculate the number of accidents that occur at 60 km/h? Select the right answer.

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer:

About 121.25

Step-by-step explanation:

<em>Step 1: Interpret x and y</em>

y is the number of accidents that occur = ?

x is the speed = 60 km/h

<em>Step 2: Substitute value of x in the equation</em>

y=0.0875x² - 10.5x + 436.25

y=0.0875(60)² - `10.5(60) + 436.25

<em>Step 3: Find the value of y</em>

y=0.0875(60)² - `10.5(60) + 436.25

y = 121.25

Therefore, the right answer is the last option which is 'about 121.25.'

!!

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How can you use the fact that 25^2=625 to show that 5^-4 =1/625 ? Explain your process thinking.
Naddika [18.5K]

Answer:

The answer to your question is:

Step-by-step explanation:

Given

                                      25² = 625

Show that

                                     5⁻⁴ = \frac{1}{625}

Process

Find the prime factors of 25

                                                25    5

                                                  5    5

                                                   1

Then    25 = 5²

Substitution

                                  (5²)² = 625

                                  (5)⁴ = 625

Get the inverse

                                  (5⁴) ⁻¹ = 625⁻¹

But negative powers are not allowed, then,

                                   5^{-4} = \frac{1}{5^{4} } = \frac{1}{625}                                                        

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3 years ago
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4/7 - x = 6/35

You're trying to get x by itself, so you have to subtract 4/7 from both sides.

-x = 6/35 - 4/7

You need both of the fractions to the right of the equal sign to have the same denominator so that we could simplify them, so multiply 5/5 to -4/7.

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So, our new equation is :

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Simplify.

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Divide both sides by -1.

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~Hope I helped!~
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Answer:

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