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2 years ago

A student factors 3x2 – 12 to the following.

Mathematics

2 answers:

Nesterboy [21]2 years ago

8 0

Answer: The Expression is Equivalent, However, NOT completely factored.

Step-by-step explanation:

3x^2 - 12

Following:

3 ( x^2 - 4 )

Factor:

3x^2 - 12

Factor Out Common Term 3:

3 ( x^2 - 4 ) = 3 (x^2 - 4 )

Factor:

x^2 - 4

( x + 2 ) ( x - 2 )

Answer:

3 ( x + 2) ( x - 2)

Hence, The Expression is Equivalent, However, Wasn't Completely Factored.

Hope that helps!

aev [14]2 years ago

3 0

Answer:

Step-by-step explanation:

i just took it

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Herky was given the following system of equations to solve. 3 x minus 2 y = 17. x minus 3 y = 1.

ioda

Answer:

(7, 2 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 17 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

3(1 + 3y) - 2y = 17 ← distribute and simplify left side

3 + 9y - 2y = 17

3 + 7y = 17 ( subtract 3 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 1 + 3(2) = 1 + 6 = 7

Solution is (7, 2 )

5 0

2 years ago

Read 2 more answers

A plane ticket barcelona costs £175 the price decreases by 6% work out the new price

Bond [772]

Answer: £164.50

175 decreased by 6% = 164.5

Absolute change (actual difference):

164.5 - 175 = - 10.5

Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

(1 - 6%) × 175 =

(100% - 6%) × 175 =

94% × 175 =

94 ÷ 100 × 175 =

94 × 175 ÷ 100 =

16,450 ÷ 100 =

164.5

£164.50

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1 year ago

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A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Qua

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Answer:

There is a 99.24% probability that Claude's sample has a mean between 119.985 and 120.0125 inches.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch. This means that $\mu = 120, \sigma = 0.05$ .

Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. This means that $n = 100, s = \frac{\sigma}{\sqrt{n}} = \frac{0.05}{\sqrt{100}} = 0.005$ .

The probability that Claude's sample has a mean between 119.985 and 120.0125 inches is

We are working with the sample mean, so we use the standard deviation of the sample, that is, $s$ instead of $\sigma$ in the z score formula.

This probability is the pvalue of Z when $X = 120.0125$ subtracted by the pvalue of Z when $X = 119.985$ .

X = 120.0125

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{120.0125 - 120}{0.005}$

$Z = 2.5$

$Z = 2.5$ has a pvalue of 0.9938.

X = 119.985

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{119.985 - 120}{0.005}$

$Z = -3$

$Z = -3$ has a pvalue of 0.0014.

So there is a 0.9938 - 0.0014 = 0.9924 = 99.24% probability that Claude's sample has a mean between 119.985 and 120.0125 inches.

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2 years ago

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A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. The second outline is Roman numerals while the third is Letter notation.

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2 years ago

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The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −

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Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

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