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Ilia_Sergeevich [38]

2 years ago

5

a polynomial has been factored below, but some constants are missing. 2x^3-2x^2-24x=ax(x+b)(x+c) what are the missing values of

a,b, and c?

2 answers:

otez555 [7]2 years ago

6 0

Hello here is a soluion :

Eduardwww [97]2 years ago

4 0

Answer:

a=2, b= -4, c=3

Step-by-step explanation:

$2x^3-2x^2-24x=ax(x+b)(x+c)$

Find out the constants a,b and c

LEts factor the given expression

$2x^3-2x^2-24x$

GCF is 2x

$2x(x^2-x-12)$

Factor out x^2-x-12

Product is -12 and sum is -1

-4 times 3 is -12

-4 plus 3 is -1

$x^2-x-12 = (x-4)(x+3)$

$2x(x^2-x-12)$

$2x(x-4)(x+3)$

The value of 'a' is 2

'b' is -4 and 'c' is 3

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In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

professor190 [17]

Answer:

$r(t)=100,000t+600,000$

Step-by-step explanation:

Let

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t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

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step 1

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The formula to calculate the slope between two points is equal to

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substitute the values

$m=\frac{2,000,000-1,000,000}{14-4}$

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step 2

Find the equation of the line in point slope form

$r-r1=m(t-t1)$

we have

$m=100,000\\point\ (4,1,000,000)$

substitute

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step 3

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$r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000$

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2 years ago

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa

zalisa [80]

Answer:

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Step-by-step explanation:

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If $X \sim N (\mu, \sigma^{2})$ , then $z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (<em>Z</em>) = 0 and Var (<em>Z</em>) = 1. That is, $Z \sim N (0, 1)$ .

The distribution of these <em>z</em>-scores is known as the standard normal distribution.

The <em>z</em>-score is a standardized form of the raw score, <em>X</em>. It is a numerical measurement of the relationship between a value (<em>X</em>) and the mean (<em>µ</em>) in terms of the standard deviation (<em>σ</em>). A <em>z</em>-score of -1 implies that the data value is 1 standard deviation below the mean. And a <em>z</em>-score of 1 implies that the data value is 1 standard deviation above the mean.

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