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3 years ago

What is the solution of the system? y=x^2 + 6x + 9

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

Because we have two values of x, we can set the two expressions equal to each-other.

x^2 + 6x + 9 = x + 3

Subtract x and 3 from both sides.

x^2 + 5x + 6 = 0

Now that we have all terms on one side, we can find the values of x.

Using the AC method, we can simplify this equation to (x + 2)(x + 3)

The solutions to the system of equations presented are:

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Henry was 1-2/3 hours of homework each night from monday through thursday and 3-1/2 hours total over the weekend.. how much more

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Answer:

Cheyenne has a part-time job at which she gets paid by the hour. The table below shows how much money Cheyenne can earn for working variousCheyenne has a part-time job at which she gets paid by the hour. The table below shows how much money Cheyenne can earn for working various

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2 years ago

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<u>Answer-</u> C. For every extra person served, the time it takes to prepare a meal increases by 7 minutes.

<u>Solution- </u>

Where y = the number of minutes it takes to prepare a meal

x = the number of people being served.

If the number of persons increased by one, so x' = (x+1)

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3 years ago

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

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3 years ago

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False in a triangle 2 sides are the same and one is different

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Check the above image.......