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3 years ago

How do i factor -7x^2+5x+12

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer:

-(x + 1)(7x - 12)

Step-by-step explanation:

Step 1: Factor out a -1

-1(7x² - 5x - 12)

Step 2:

Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.

So, <em>factor</em>.

-1(x + 1)(7x - 12)

To double check, just expand/FOIL everything and see if it is the same as the original expression.

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The following data give the prices of seven textbooks randomly selected from a university bookstore.

swat32

Answer:

a) Mean = $121

Sum of deviations = $0

b) Standard deviation = 41.19

Variance = 1696.67

Range = $120

Step-by-step explanation:

We are given the following data:

$91 , $176 , $108 , $115 , $56 , $157 , $144

a) Mean and sum of deviations

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{847}{7} = 121$

Sum of deviations =

-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0

The sum of deviations is zero dollars.

b) range, variance, and standard deviation

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of square of differences =

900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180

$\sigma = \sqrt{\dfrac{10180}{6}} = 41.19\\\\\sigma^2 = 1696.67$

Sorted data: 56, 91, 108, 115, 144, 157, 176

Range = Maximum - Minimum

Range = 176 - 56 = 120

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3 years ago

0.7553 rounded to the nearest hundredth

grigory [225]

0.76 is the answer you go to hundredth place and look at the number next to it

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Answer:

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Step-by-step explanation:

You multiply the number of cheese pounds(p) by the cost of the pounds($4.88)

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