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2 years ago

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

Mathematics

2 answers:

fredd [130]2 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]2 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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Suppose there are some chairs in a room and that each chair has 4 legs.

RideAnS [48]

Answer:

y = 4x / x = 1/4 y

Step-by-step explanation:

chairs = x ( to find out how many chairs there are you have to take the legs and divide them by 4 )

Legs = y ( to find out how many legs there are you must multiply the amount of chairs by 4 )

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2 years ago

At a clearance sale,Jill got 70% off a silver bracelet.If she paid the cashier $27 ,what was the original price of the bracelet

mart [117]

Answer:

$38.57

Step-by-step explanation:

Make a proportion.

$\frac{27}{x} = \frac{70}{100}$

Cross multiply.

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Round the result to the hundredths place.

38.57142857 ≈ 38.57

**Hope this helps!

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2 years ago

What is the Kinetic energy of a 2000 kg bus that is moving at 30m/s? <br><br> Explain please

agasfer [191]

There's a formula for that.

KE = (1/2)mv²

... = (1/2)(2000 kg)(30 m/s)²

... = 900,000 kg·m²/s²

... = 900,000 J

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It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.

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4 0

3 years ago

amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?

dybincka [34]

Answer:

88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is

you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2

either way his normal weight is 79.2kg

5 0

2 years ago

The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the

vladimir1956 [14]

Answer:

$P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}$

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that $p = 0.4$

Eight traffic fatalities

This means that $n = 8$

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}$

3 0

2 years ago