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2 years ago

Which expression shows the correct multiplication of the following polynomilas? 3x(6x^2-3x+7)

Mathematics

1 answer:

snow_tiger [21]2 years ago

8 0

Answer: 18x^3-9x^2+21x

Solution:

3x(6x^2-3x+7)=

Applying the distributive property in the multiplication to eliminate the parentheses:

(3x)(6x^2)+(3x)(-3x)+(3x)(7)=

(3*6)x^(1+2)+3*(-3)x^(1+1)+(3*7)x=

18x^3-9x^2+21x

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The Pythagorean Theorem

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Answer:

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Select the correct answer. Simplify the expression to a single numerical value.

KIM [24]

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2 years ago

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Someone help me with my math homework pleaseee. Find the volumes of the pyramids and the height is 7cm for the first one.

gregori [183]

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
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B=\textit{area of the base}\\
h=height
\end{cases}$

now, the first one, on the far-left.... can't see the height.. but I gather you do, now as far as its Base area, well, the bottom is just a 12x12 square, so the area of its base is just 12*12

now, the middle pyramid, has a height of 6, the base is also a square, 8x8, so the Base area is just 8*8

now the last one on the far-right

has a height of 8, the Base is a Hexagon, with sides of 6

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of one side}\\
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2 years ago

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which

mario62 [17]

2 out of 50 were tagged.

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Now divide the number of fish caught by the percentage that were tagged:

50 / 0.04 = 1250

The number of fish in the pond is C. 1250

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2 years ago