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aalyn [17]
2 years ago
13

Given f(x) = x2 - 2x + 3, find the value(s) for x such that f(x) = 18. The solution set is o​

Mathematics
2 answers:
Scilla [17]2 years ago
7 0

Answer:

0

Step-by-step explanation:

Since f(x)=18 you would do:

f(x)= 18(2)-2(18)+3

f(x)=36-36+3

Final Answer: 0

mihalych1998 [28]2 years ago
5 0

Step-by-step explanation:

f(x) = x^2 - 2x + 3

f(x) = 18

x^2 - 2x + 3 = 18

x^2 - 2x + - 15 = 0

(x-5) (x+3) = 0

x = 5 (or) x = -3

not sure of the answer^^

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How many thousands = 4,000 ones
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That would be 4 thousands
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Give the exact form and decimal form of the equation
Svet_ta [14]

Answer:

Exact form: \sin{(6x)} = \frac{8}{9}

Decimal form: \sin{(6x)} = 0.8889

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

8 = 9\sin{(6x)}

Placing into the desired format, the exact format is:

\sin{(6x)} = \frac{8}{9}

In the decimal part, we divide 8 by 9. So

\sin{(6x)} = 0.8889

Solving for x:

We apply the inverse sine. So

\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}

6x = 62.73

x = \frac{62.73}{6}

x = 10.455

The solution for x is of 10.455º

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2 years ago
Roselyn wants to drive her car at a speed of 60 miles per hour for 1.25 hours. Her car has a fuel efficiency of 15 miles per gal
EleoNora [17]

Hence, there is 5 gallons of fuel Roselyn needed for her journey.

3 0
3 years ago
Write an equation of the line that passes through the points (4,7) and is parallel to and perpendicular to the line y=1/2x-1 ans
emmasim [6.3K]
M = 0.5
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6 0
3 years ago
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
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