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3 years ago

Factor completely 2x3 + 6x2 + 2x + 6.

Mathematics

2 answers:

katovenus [111]3 years ago

4 0

The answer is 2(x + 3)(x^2 + 1).

Steps:

2x^3 + 6x^2 + 2x + 6

2x^3 + 2x + 6x^2 + 6

2x(x^2 + 1) + 6(x^2 + 1)

(2x + 6)(x^2 + 1)

2(x + 3)(x^2 + 1)

Tanzania [10]3 years ago

4 0

2X^2(X+3)+2(X+3)

(2X^2+2)(X+3)

2(X^2+1)(X+3)

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Meagan walked 4/10 mile to the park.she walked the same distance home.how much did she walk altogether? Write in simplest form

avanturin [10]

We add them up to find the total distance :

$\dfrac{4}{10} + \dfrac{4}{10} = \dfrac{8}{10} = \dfrac{4 \times 2}{5 \times 2} = \dfrac{4}{5}$

$\text {She walked } \dfrac{4}{5} \text { miles}$

7 0

3 years ago

Find the slope between the two points given. Then, use the slope and Point One to write the equation of the line in Point-Slope

ratelena [41]

The equation in point slope form is given as y+3 = -5/8(x-4)

<h3>Equation of a line</h3>

The formula for calculating the equation of a line in point-slope form is expressed as:

y-y1= m(x-x1)

Given the coordinate point

Slope = 2-(-3)/-2-4
Slope = 5/-8

Determine the equation

y-(-3) =-5/8(x-4)

y+3 = -5/8(x-4)

Hence the equation in point slope form is given as y+3 = -5/8(x-4)

Learn more on equation of a line here: brainly.com/question/18831322

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5 0

2 years ago

PLEASE HELP

Kisachek [45]

Answer:

The answer is (x -2)^2.

Step-by-step explanation:

I had that question, Hope it helps :)

7 0

3 years ago

2.According to www.city-data, the mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know t

igor_vitrenko [27]

Answer:

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know that the standard deviation was $42,000.

This means that $\mu = 192723, \sigma = 42000$

Sample of 75:

This means that $n = 75, s = \frac{42000}{\sqrt{75}}$

What is the probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009?

1 subtracted by the p-value of Z when X = 190000. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{190000 - 192723}{\frac{42000}{\sqrt{75}}}$

$Z = -0.56$

$Z = -0.56$ has a p-value of 0.2877

1 - 0.2877 = 0.7123

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

5 0

3 years ago

3.)Chandra is making a blanket for her family and it costs $8.65 per yard of fabric,

Mashcka [7]

Answer:

$90.83

Step-by-step explanation:

Because each yard of fabric is $8.65, and she's buying 10.5 yards, you need to multiply 10.5 by 8.65 to get 90.825. Because you then have to round that, the answer turns into 90.83 (as the 5 in the 1000th place makes you round up).

7 0

3 years ago

Read 2 more answers