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Alborosie
3 years ago
16

What values of x make the equation x^2 + 9x – 22 = 0 true? Check all that apply.

Mathematics
2 answers:
fredd [130]3 years ago
9 0

Answer:

x = 2 , - 11.

Step-by-step explanation:

Given  : x² + 9x – 22 = 0

To find : What values of x make the equation.

Solution : we have given  x² + 9x – 22 = 0

On factoring

x² + 11x - 2x – 22 = 0 .

Taking common x from first two term and -2 from last two terms.

x ( x +11) - 2 (x +11) = 0.

On grouping

(x -2) (x +11) = 0

For

x - 2  =0

x = 2 .

For

x + 11 = 0

x = -11.

Therefore, x = 2 , - 11.

sergij07 [2.7K]3 years ago
7 0
If you would like to solve the equation x^2 + 9x - 22 = 0, you can do this using the following steps:

<span>x^2 + 9x - 22 = 0
</span>(x - 2) * (x + 11) = 0
1. x = 2
2. x = - 11

The correct result would be x = 2 and x = - 11.
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Answer:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(114.8,13.1)  

Where \mu=114.8 and \sigma=13.1

We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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P(z>1.924)=1-P(z

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