Simplify:

1 answer:

8 0

Factoring is decomposing a higher powered expression into a lower powered expressions that are multiplied together. Since (a-b)(a^2+ab+b^2) is lower powered than a^3-b^3, (a-b)(a^2+ab+b^2) is more simplified.
The Difference of Cubes formula shows up frequently in mathematics courses and should be memorized.
The formula for factoring the difference of cubes is (a^3 - b^3)= (a-b)(a^2+ab+b^2). It works because if (a-b)(a^2+ab+b^2) is multiplied it out, then it becomes a^3 - b^3. This was probably originally determined by trial and error a long time ago.
Since x is cubed and 8 is 2^3 it factors with the Difference of Cubes Formula. (x^3-2^3)=(x-2)(x^2+2x+2^2)=(x^2+2x+4)

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48 divided by -3 - 31 x -3 -21<br> 48 divided by -3 - 31 x -3 + -21

trasher [3.6K]

Answer:

Step-by-step explanation:

I used a calculator I'm sorry

7 0

4 years ago

In a population distribution, a score of x= 28 corresponds to z= -1 and a score of X =34 corresponds to z= -0.50. Find the mean

katovenus [111]

Z = (X - mean)/sd
-1 = (28 - mean)/sd
mean - sd = 28 . . . (1)
-0.5 = (34 - mean)/sd
mean - 0.5sd = 34 . . . (2)

(1) - (2) => -0.5sd = -6
sd = -6/-0.5 = 12
From (1), mean = sd + 28 = 12 + 28 = 40

mean = 40
standard deviation = 12

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3 years ago

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know ho

Eva8 [605]

Answer:666 hours

Step-by-step explanation: The reason is that if you turn the problem into an equation it would be h=Lx. h= hours. L=how long the log lasts and x=how many logs. So when you plug in the numbers you get 101010=L*151515. So we need to find L. What you do is you divide both sides by 151515 since it is the opposite of multiplication. 151515/151515 gets crossed out and 101010/151515 is .6666666666666 irrational. So the equation now looks like .666666 irrational=L. So .66666 irrational is your L. Know you plug .666666 irrational into your original equation. Which is now h=.6666 irrational*x. So to find how long the fire keeps on burning with 999 logs you just plug 999 into x and now your equation looks like this h=.6666 irrational*999. If you multiply .6666 irrational by 999 your final answer is 666.

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3 years ago

Which description best describes the solution to the following system of equations? (4 points) y = −2x + 3 y = −x + 6

ANEK [815]

Hello!

Since y equals both of them they are equal to each other

-2x + 3 = -x + 6

Add 2x to both sides

3 = x + 6

Subtract 6 from both sides

-3 = x

The answer is -3

Hope this helps!

3 0

3 years ago

Andre has bought 6 video games at the store. His friend Dean has 4 times as many games as Andre. Dean gives away 7 games as a gi

Serggg [28]

Answer:

17 video games

Step-by-step explanation:

Andre has 6 video games so Dean has 6*4 amount of video games which is 24.

Then he gives away 7 of his 24 video games which leaves him with 17 video games because 24-7=17.

6 0

3 years ago