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3 years ago

Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.

Mathematics

1 answer:

alukav5142 [94]3 years ago

8 0

Answer:

The solutions to this quadratic equation are 10 and 3.

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

x₁ = 13 + 7/2 = 20/2 = 10

x₂ = 13 - 7/2 = 6/2 = 3

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First of all, we notice that the spinner is divided into 8 sections of equal size.

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Here we want to find

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Therefore, the probability is

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As before, the total number of possible outcomes his:

$n=8$

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2 years ago

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Anon25 [30]

Answer:

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Step-by-step explanation:

The information provided are:

Samuel fell asleep halfway home.
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Consider that the total distance covered was 1.

Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.

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