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2 years ago

Multiply 7x(x^- x+2)

Mathematics

1 answer:

Pie2 years ago

6 0

Rewrite (7x−2) 2 (7x-2) 2 as (7x−2) (7x−2) (7x-2) (7x-2).

(7x−2) (7x−2) (7x-2) (7x-2)

Expand (7x−2)(7x−2)(7x-2)(7x-2) using the FOIL Method.

Apply the distributive property.

7x (7x−2) −2 (7x−2) 7x (7x-2)-2 (7x-2)

Apply the distributive property.

7x(7x)+7x⋅−2−2(7x−2)7x (7x)+7x⋅-2-2(7x-2)

Apply the distributive property.

7x(7x)+7x⋅−2−2(7x)−2⋅−27x(7x)+7x⋅-2-2(7x)-2⋅-2

Simplify and combine like terms.

Simplify each term.

Multiply xx by xx.

7⋅7x2+7x⋅−2−2(7x)−2⋅−27⋅7x2+7x⋅-2-2(7x)-2⋅-2

Multiply 77 by 77.

49x2+7x⋅−2−2(7x)−2⋅−249x2+7x⋅-2-2(7x)-2⋅-2

Multiply −2-2 by 77.

49x2−14x−2(7x)−2⋅−249x2-14x-2(7x)-2⋅-2

Multiply 77 by −2-2.

49x2−14x−14x−2⋅−249x2-14x-14x-2⋅-2

Multiply −2-2 by −2-2.

49x2−14x−14x+449x2-14x-14x+4

Subtract 14x14x from −14x-14x.

49x2−28x+4

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Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15

kherson [118]

Answer:

45,42,126

multiply by 3

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2 years ago

A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the

NikAS [45]

Answer:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

$\bar X=0.376$ represent the sample mean for the chloride concentration

$\mu$ population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

$df=n-1=15-1=14$

The Confidence is 0.95 or 95%, the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case with a t distribution with 14 degrees of freedom is $t_{\alpha/2}=2.145$

And the confidence interval is:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0

3 years ago

2 (5p - 4) = 3p -7 need this very soon

MakcuM [25]

Answer:

p=7

Step-by-step explanation:

2 (5p-4)=3p-7

(10p-8)=3p-7

10p=3p+1

7p=1

p=7

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The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +

strojnjashka [21]

Y=8x+12

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y=8(24)+12
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204+268=$472

The instructor makes $472 a month.

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a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the origina

irakobra [83]

40 liters.....30% is yellow tint
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2 years ago