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expeople1 [14]
3 years ago
10

Find the volume of the following figure using unit cubes.

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

<h2>        64 units³</h2>

Step-by-step explanation:

2 units × 4 units × 8 units = 64 units³

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Simplify -3y+2x-5y-7x
Sphinxa [80]
<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given that, we have to simplify</u></em>

-3y + 2x-5y-7x

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable ( with same exponent) with same or different coefficient

From given,

-3y + 2x-5y-7x

Here, like terms are -3y and -5y

And 2x and -7x

Group the like terms

-3y-5y+2x-7x

Combine the like terms

-8y -5x

Thus the given expression is simplified

6 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
3 years ago
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A water park sold 8 child tickets and 72 adult tickets. What percentage of the tickets sold were child tickets?
Alex17521 [72]

Answer:

8%

Step-by-step explanation:

5 0
3 years ago
What are two numbers that has the product of 40 but has the sum of 13
Maksim231197 [3]

Answer:

8 and 5

Step-by-step explanation:

3 0
3 years ago
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Combine and write the answer in descending power order (DPO):<br> 3y - y^3 + 2 -3y^2
dexar [7]

Answer:

im sorry

Step-by-step explanation:

ezxerfguibfyrxzwzx

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