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3 years ago

Given a polynomial and one of its factors bother main factors 9x^3 + 20x^2 - 68x - 16; (x+4)

Mathematics

1 answer:

icang [17]3 years ago

8 0

Answer:

9x+2 and x-2.

Step-by-step explanation:

Given the polynomial $9x^3 + 20x^2 - 68x - 16$

If one of the factors is x+4, then to obtain the other factor, we divide the polynomial by the known factor.

$\dfrac{9x^3 + 20x^2 - 68x - 16}{x+4} =9x^2-16x-4$

Next, we factorize our result

$9x^2-16x-4=9x^2-18x+2x-4\\=9x(x-2)+2(x-2)\\=(9x+2)(x-2)$

Therefore, the other factors of the polynomial are 9x+2 and x-2.

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Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = average rent paid by 314 BYU students = $346

s = sample standard deviation = $86

n = sample of students = 314

$\mu$ = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, $\mu$ is ;

P(-2.082 < $t_3_1_3$ < 2.082) = 0.96

P(-2.082 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.082) = 0.96

P( $-2.082 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ , $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $346 -2.082 \times {\frac{86}{\sqrt{314} } }$ , $346 +2.082 \times {\frac{86}{\sqrt{314} } }$ ]

= [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

5 0

3 years ago

find the area of this figure. round your answer to the nearest hundredth.use 3.14 to approximate pi.

lord [1]

The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The geometry is the combination of the semicircle and right triangle.

Then the area of the geometry will be

Area = 1/2 x 6 x 8 + π/8 x 8²

Area = 4 x 6 + 3.14 x 8

Area = 24 + 25.12

Area = 49.12 square feet

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

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2 years ago

A farmer is planning how to divide his land for planting next year’s crops. A triangular plot of land is left with two known sid

jeka57 [31]

He can either measure the third side length, apply the Pythagorean theorem to find the height of the triangle, and then calculate the area, or he can find the measure of the included angle between the known side lengths and use trigonometry to express the height of the triangle and then determine the

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2 years ago

How do you find sin 30 of a unit circle?

Gwar [14]

Go to where 30 degrees is on the unit circle and find the y-coordinate. That is sin30.

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3 years ago

Subtracting a negative is the same as....

erik [133]

Same as adding together

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2 years ago

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