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Artyom0805 [142]
3 years ago
6

What is the product? Assume x ≠ 0. 2x^2/3{6/x} 3x 4x 3x2 4x2

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer:

4x

Step-by-step explanation:

The given product is;

\frac{2x^2}{3}(\frac{6}{x})

This is the same as;

\frac{2x^2\times 6}{3\times x}

We cancel out the common factors to obtain;

\frac{2x\times 2}{1\times 1}

Multiply out to obtain;

\frac{4x}{1}

Simplify

4x

The second option is the correct choice.

svlad2 [7]3 years ago
7 0

Answer:

4x

Step-by-step explanation:

\frac{2x^2}{3}(\frac{6}{x})

2x^2 can be written as 2*x*x

so the given expression becomes

\frac{2*x*x}{3}(\frac{6}{x})

we cancel out x at the top and bottom

we know 6 divide by 3 is 2

\frac{2*x}{1}(\frac{2}{1})

Now we multiply the numerator with numerator and denominator with denominator

4x

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To form 3 adjacent squares (as in the figure), 10 toothpicks are required. How many toothpicks are required to form 100 adjacent
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<span>Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 301 for n = 100.


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