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nataly862011 [7]
2 years ago
8

A student factors 3x2 – 12 to the following. 3(x2 – 4)

Mathematics
2 answers:
prohojiy [21]2 years ago
8 0

Answer:

So, the factors of  3x² – 12  are 3(x-2)(x+2).

Step-by-step explanation:

We have given expression:

3x² – 12

We have to find the factor of the given expression.

First, taking 3 common from the expression we get,

3x² – 12=3(x²-4)

As we know that,

a²-b²= (a-b)(a+b)

Then we get,

3x² – 12= 3(x-2)(x+2)

So, the factors of  3x² – 12  are 3(x-2)(x+2).

kotegsom [21]2 years ago
4 0

Answer:

The expression is equivalent , but is not completely factored

Step-by-step explanation:

A student factors 3x² – 12 to the following. 3(x² – 4)

3x² – 12 is equivalent to 3(x² – 4), because 3 was factored out;

If we multiply by 3 by opening the brackets then we get the same expression 3x² – 12.  

However; <em>3(x² – 4), could be factored further;</em>

<em>To get; 3(x + 2)(x - 2) ; since x² – 4 is a difference of two squares;</em>

<em>Therefore;</em>

<em>3x² – 12 = 3(x² – 4) = 3(x + 2)(x - 2)</em>

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STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x 
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4) 
STEP 4- simplify the equation
x^2-8x+16=10 
STEP 5- factor the perfect trinomial square into (x-4)^2
(x-4)^2=10
STEP 6-solve the equation for x
x=4= square root of 10

 
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3 years ago
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What is 1/10 as a percent?<br> what is 1/5 as a percent?
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Answer:

1/10 as a percent is 10%

1/5 as a percent is 20%

Step-by-step explanation:

You need to multiply the bottom numbers to 100 because usually all percentages are out of 100. The result is the top number.

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The quotient of 8 times a number and the cube root of the number
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Step-by-step explanation:

n/8...

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3 0
3 years ago
The average expenditure on Valentine's Day was expected to be$100.89 (USA Today, February 13, 2006). Do male and femaleconsumers
stealth61 [152]

Answer:

(a) $62.16

(b) Male: $15.00

Female: $10.06

(c) Confidence Interval for male expenditure is ($106.40, $136.40)

Confidence interval for female expenditure is ($49.18, $69.30)

Step-by-step explanation:

(a) Male expenditure

Sample mean = $135.67, sd=$35, n=40, Z=2.576

Population mean = sample mean - (Z×sd)/√n = 135.67 - (2.576×35)/√40 = 135.67 - 14.27 = $121.40

Female expenditure

Sample mean= $68.64, sd=$20, n=30, Z=2.576

Population mean = 68.64 - (2.576×20)/√30 = 68.64 - 9.40 = $59.24

$121.40 - $59.24 = $62.16

(b) Male: Error margin = (t-value × sd)/√n

Degree of freedom = n-1 = 40-1= 39. t-value corresponding to 39 degrees of freedom and 99% confidence level is 2.708

Error margin = (2.708×35)/√40 = 94.78/6.32 = $15.00

Female

Degrees of freedom = n-1 = 30-1 = 29. t-value is 2.756

Error margin = (2.756×20)/√30 = 55.12/5.48 = $10.06

(c) Male

Confidence Interval (CI) = (mean + or - error margin)

CI = 121.4 + 15.00 = $136.40

CI = 121.4 - 15.00 = $106.40

Confidence Interval is ($106.40, $136.40)

Female

CI = 59.24 + 10.06 = $69.30

CI = 59.24 - 10.06 = $49.18

Confidence Interval is ($49.18, $69.30)

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Answer:

cool, how long did it take

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2 years ago
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