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3 years ago

14

Multiply and solve for x: x(x + 12) – 8x = 14 + x(x – 4)

1 answer:

erik [133]3 years ago

6 0

Using the distribution method:

x^2 + 12x - 8x = 14 + x^2 - 4x

x^2 + 4x = x^2 - 4x + 14

Now, I'm isolating x by moving all the x's onto one side of the equation:

x^2 - x^2 + 4x + 4x = 14

Combine like terms (x^2 cancels out):

8x = 14

x = 14/8

Simplified: x = 7/4

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To which subset of the real number system does the number 1.5¯(repeating decimal) belong to?

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3 years ago

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What is M when R = 200? *

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3 years ago

ASHA 777 [7]

Answer:

(-6,4)

Step-by-step explanation:

The equations are:

$x^2+4y^2=100\\4y-x^2=-20$

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

$4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100$

Now we can solve for y:

$4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5$

So plugging in y = 4 into an equation and solving for x, we have:

$x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6$

So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>

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2 years ago

What is the next term in the sequence 4,-12,36,-108 use inductive reasoning

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The is answer is 324. The previous number is multiplied by -3.

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3 years ago

The rate of change is<br><br> A. -4<br> B. -1<br> C. 1<br> D. 4

babymother [125]

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2 years ago