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3 years ago

9

What is the sum of 2/6 +7/6

2 answers:

Tresset [83]3 years ago

6 0

Answer:

3/2

Step-by-step explanation:

2/6 + 7/6 = 9/6

9/6 can be simplified by dividing the numerator and denominator by 3.

9/6 = 3/2

Gala2k [10]3 years ago

3 0

The answer is 1 1/2

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Which operations is the following set closed under: {... , -3, -1, 1, 3, ...}?

Ganezh [65]

Not addition, since $-1+1=0$ and 0 doesn't belong to the set.

Not subtraction, since $1-1=0$ .

It is closed under multiplication. The set appears to contain all non-zero multiples of 3.

Not division, since dividing some of the numbers results in rationals which do not belong to the set.

What other operations are you supposed to consider?

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How would the expression x2 +8 be rewritten using Sum of Cubes?

Nadusha1986 [10]

Answer:

$x^3+8=(x+2)(x^2-2x+4)$

So if they meant $x^3+8$ then the answer is:

$(x+2)(x^2-2x+4)$ .

The choice this corresponds to is A.

Step-by-step explanation:

The sum of cubes formula for factoring or expanding:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

You have I'm assuming they meant:

$x^3+8$ .

Compare $x^3+8$ to $a^3+b^3$ .

You should see in place of $a$ you have $x$ .

You should also see in place of $b$ you have $2$ .

$a^3+b^3=(a+b)(a^2-ab+b^2)$

$x^3+8$

$x^3+2^3$

$x^3+2^3=(x+2)(x^2-2x+2^2)$

$x^3+8=(x+2)(x^2-2x+4)$

Let's check it for fun.

So we are going to use the distributive property.

We are going to distribute all the terms in the first ( ) to all the terms in the second ( ).

$x(x^2-2x+4)$ + $2(x^2-2x+4)$

$x^3-2x^2+4x$ + $2x^2-4x+8$

Combine like terms:

$x^3-2x^2+2x^2+4x-4x+8$

Simplify the grouping of like terms:

$x^3+0x^2+0x+8$

0 times anything is 0:

$x^3+8$

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