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1 year ago

What is the completely factored form of the expression 16x2 8x 32? 4(4x2 2x 8) 4(12x2 4x 28) 8(2x2 x 4) 8x(8x2 x 24)

1 answer:

4 0

An expression is defined as a set of numbers, variables, and mathematical operations. The factored form of the expression 16x²+8x+32 is 8(2x²+x+4).

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The completely factored form of the expression can be written as,

$16x^2+8x+32\\\\=8(2x^2+x+4)$

Thus, the factored form of the expression 16x²+8x+32 is 8(2x²+x+4).

Learn more about Expression:

brainly.com/question/13947055

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Answer:

14 and 8

Step-by-step explanation:

Solution set:

x+y=22

4x=7y

Solving:

4(22-y)=7y

88-4y=7y

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3 years ago

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2 years ago

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The line graph shown below is of the amount of money astudent earns at a part time job, per hour. What is the students wage rate

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2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)

<h3>How to analyze and interpret linear functions</h3>

Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:

Exercise 1

If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:

m · m' = - 1

[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]

(- 1 / 1) · (1 / 1)

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The two lines are <em>perpendicular</em>. (Correct choice: True)

Exercise 2

In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:

m = ($ 10 - $ 0) / (1 h - 0 h)

m = $ 10 per hour

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1 year ago

Explain how you could use the interactive table to tell if

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Tables are essentially the source for all the charts. They are best used for comparison, composition, or relationship analysis when there are only few variables and data points. It would not make much sense to create a chart if the data can be easily interpreted from the table.

The tables help us to compare the values of those two sets of the data that have been presented in different ways.

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2 years ago

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It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard d

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Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

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. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that $\sigma = 4$

A sample of 25 wait times is randomly selected.

This means that $n = 25$

What is the standard deviation of the sampling distribution of the sample wait times?

$s = \frac{4}{\sqrt{25}} = 0.8$

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

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2 years ago