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3 years ago

Please Solve 3x + 6y=27

2 answers:

max2010maxim [7]3 years ago

5 0

You need more information than that to solve for x and y. However, it is possible for you to graph the equation and see what all the possible values for x and y can be. A possible coordinate can be x=3 and y=3.

jek_recluse [69]3 years ago

5 0

I'm not sure what you need to solve for, so I'll solve for both x and y.

3x + 6y = 27
3x = 27 - 6y
x = (27 - 6y)/3
x = 9 - 2y
so there's x
3x + 6y = 27
6y = 27 - 3x
y = (27 - 3x)/6
y = 4.5 - .5x
And there's y

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

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

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

Ashley is making $500 a week at her job . She receives a 20 percent pay raise. A year later she takes a 5 percent cut. How much

MaRussiya [10]

Answer:

$570

Step-by-step explanation:

500 * 1.2 = $600 after 20% pay raise

600 * .95 = $570 after 5% pay cut

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3 years ago

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astraxan [27]

Answer:

x=45

Step-by-step explanation:

Since AB is a straight line, it is 180 degrees

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135-135 +x = 180 -135

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S_A_V [24]

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3 years ago