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2 years ago

What are the solutions of x2 + 10x + 16 = 0?

Mathematics

2 answers:

Ivahew [28]2 years ago

8 0

−

Explanation:

Given:

To complete the square put the two

terms on the left and the constant on the right of the equation:

−

Complete the square by multiplying the

-term by

⋅

and adding the square of this number to the right side of the equation:

(

)

−

UNDERSTANDING CHECK:

(

)

The

was not in the original equation. If we add

to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.

(

)

To solve, square root both sides of the equation:

√

(

)

√

−

jolli1 [7]2 years ago

4 0

The answer is -2,-8

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Answer:

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3 years ago

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IgorLugansk [536]

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3 years ago

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r

svp [43]

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that $a = 50, b = 52$

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

$P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1$

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

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2 years ago