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Law Incorporation [45]
3 years ago
14

Part A: Divide (8x4y3 + 4x3y2 - 2x2y - 12x2y4) by -2x2y. Show your work, and justify each step.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0
Let's simplify step-by-step.<span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>−<span><span>2<span>x2</span></span>y</span></span>−<span><span>12<span>x2</span></span><span>y4</span></span></span><span>=<span><span><span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>+</span>−<span><span>2<span>x2</span></span>y</span></span>+</span>−<span><span>12<span>x2</span></span><span>y4</span></span></span></span>Answer:<span>=<span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>−<span><span>12<span>x2</span></span><span>y4</span></span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>−<span><span>2<span>x2</span></span><span>y</span></span></span></span>
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I believe the greatest common divisor would be 6.

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Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.
ella [17]

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

3/120 + 2/120      = 1/ timetotal

5/120 = 1/time total  Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

24 = total time

What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

4 0
3 years ago
What are prime and composite numbers
alexgriva [62]

Answer:

A prime number is a number ( greater than 1) and it cannot be found/formed by multiplying two smaller numbers.

A composite number is a positive number/integer that can be found/formed by multiplying two smaller numbers/integers.

Hope this helps! Have a great day/night! :)

8 0
3 years ago
If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?
andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

7 0
3 years ago
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