760 hundreds using place-value chart

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

3 years ago

Compare.Write <,>,or = 25 lb____ 384 oz

raketka [301]

25 lb > 384 oz because 25 pounds is 400 ounces.

5 0

3 years ago

Read 2 more answers

Find the y-intercept of the line on the graph.

BARSIC [14]

It's a little hard to see, but I'm almost positive the y intercept is -1.
Remember, the y intercept is wherever the line intercepts in the y axis 0.

Good luck my man.

5 0

3 years ago

Read 2 more answers

Someone help me please

lidiya [134]

Problem 1

<h3>Answer: 2/5</h3>

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Explanation:

There are 4 green blocks out of 4+6 = 10 total. We divide the number of green over the number total to get the answer. Reduce the fraction as much as possible. The fraction 4/10 reduces to 2/5 (we divide both parts by 2).

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Problem 2

<h3>Answer: 1/6</h3>

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Explanation:

The probability the spinner lands on red is 2/6 = 1/3. This is because there are 2 spaces that are red out of 6 total. It helps to reduce as much as possible.

The probability the coin lands on heads is 1/2 because there's 1 side labeled heads out of 2 total.

Multiply the fractions: 1/3 * 1/2 = 1/6

This works because both events are independent.

3 0

3 years ago

Solve 4/x + 8/x+2 = 4

Trava [24]

Answer:

x = 0 and x = 3

Step-by-step explanation:

I will assume that you mean:

4 8

---- + --------- = 4

x x + 2

Here the LCD is x(x + 2).

Multiplying all 3 terms by x(x + 2), we get:

4(x + 2) + 8x = 4(x)(x + 2), or

4x + 8 + 8x = 4x^2 + 8x

Cancelling the 8x terms, we have:

12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.

Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.

7 0

3 years ago