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3 years ago

Are the expressions 2(3x - 6) and 6x + 12 are equivalent? Explain your reasoning.

2 answers:

7 0

The best way to find out is to make sure each equations are in equal forms. In this case, I’d like to make sure that both equations are expanded.

Although 6x+12 is expanded, 2(3x–6) is not. All you have to do is multiply both numbers inside the parentheses with the number on the outside.

2(3x–6)
2×3x=6x; 2×(–6)=–12

So, 2(3x–6) is 6x–12.

However, that does mean that 6x–12≠6x+12. (The expressions are NOT equivalent.) This is because although the variable 6x are the same, 12 is not equal to –12, meaning they aren’t the same number.

zvonat [6]3 years ago

5 0

Answer:

The two expressions are not equivalent

Step-by-step explanation:

2(3x-6) = 6x-12 which is not equal to 6x+12 because of the positive and

negative signs

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Find the difference:

VLD [36.1K]

Answer: The difference cannot be found because the indices of the radicals are not the same.

Step-by-step explanation:

To find the difference you need to subtract the radicals. But it is important ot remember the following: To make the subtraction of radicals, the indices and the radicand must be the same.

In this case you have these radicals:

$\sqrt[ {8ab}^{3} ]{{ac}^{2} }- \sqrt[ {14ab}^{3}]{{ac}^{2} }$

You can observe that the radicands are the same, but their indices are not the same.

Therefore, since the indices are different you cannot subtract these radicals.

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3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

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3 years ago

4. A classmate is having difficulty finding the measures of <BGE and <BDG in the diagram on the right. What mathematical a

Firlakuza [10]

Part 1) Find the measures of angle BGE
we know that
The inscribed angle measures half of the arc it comprises.
so
angle BGE=(1/2)*[arc EB]

Part 2) Find the angle BDG
we know that
The measure of the external angle is the semi-difference of the arcs that it covers.
so
angle BDG=(1/2)*[arc GEB-arc GB]

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3 years ago

What would be the answer to 12x³+3x³+4y²+7x⁴?

Veseljchak [2.6K]

=7x^4+15x^3+4y^2 I hope this helps!!

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3 years ago

2. Carl pays $79.99 for a Disney Plus subscription every year. Because Carl

tensa zangetsu [6.8K]

Answer:

12.33

Step-by-step explanation:]

450-80=370/30=12.33

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2 years ago