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Genrish500 [490]
2 years ago
10

(3x2)(−2x4) = 3(−2)x2∙4 = 6x8

Mathematics
2 answers:
allochka39001 [22]2 years ago
8 0

Answer:

i think the answer is 57

Step-by-step explanation:

bekas [8.4K]2 years ago
5 0

Answer:

The correct answer is -6x⁶

Step-by-step explanation:

Given that:

3x^2 ( - 2x^4 )   \\ \\ =3(-2)x^{2.4}  \\ \\ = 6x^8

From the second step above, using the law of indices the correct format should be

= (3\times  -2)x^{2+4}

So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.

Then the result of that yields

= -6x⁶

In the third step, they also omit the negative sign, when multiplying (3 * -2).

Thus, the correct answer is -6x⁶

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Total consumption of fruit juice in a particular country in 2006 was about 1.85 billion gallons. The population of that country
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Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

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What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?
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Answer:

\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).

\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}

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