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Alex787 [66]
3 years ago
6

Factor completely, the expression: 2x^3-2x^2-12x

Mathematics
1 answer:
muminat3 years ago
8 0
2x^3-2x^2-12x=2x(x^2-x-6)=(*)\\\\------------------------------\\x^2-x-6\\\\a=1;\ b=-1;\ c=-6\\\\\Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\\sqrt\Delta=\sqrt{25}=5\\\\x_1=\frac{1-5}{2\cdot1}=\frac{-4}{2}=-2;\ x_2=\frac{1+5}{2\cdot1}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)\\\\------------------------------\\\\(*)=2x(x+2)(x-3)
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What is six copies of the sum of nine-fifths and three
Ira Lisetskai [31]
9/5+3/1


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Hope this helps! :D
7 0
3 years ago
What is the square root of 64 over 225 with a negative outside of the radical?
irinina [24]
The square root of  (64/225)  is the same as  √64 / √225 . 
That could make the whole thing easier.

Do you know what either of those separate square roots is ?

You're right !    I'm so impressed!
The square root of  64  IS  8, and the square root of  225 surely is  15 .
You really know your stuff !

So now, the expression is  √64 / √225  =  <em>8 / 15</em> .

Oh, I almost forgot, it has a negative sign before it.  OK,so the answer is <em>- 8/15</em> .

5 0
3 years ago
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storchak [24]

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Step-by-step explanation:

3 0
3 years ago
1. (5,8) m= 3<br> It wants me to write this in slope intercept form
ikadub [295]

Answer:

The answer is: y = 3x - 7

Step-by-step explanation:

Given point: (5, 8).

Slope m = 3

Use the point slope form and solve for y:

y - y1 = m(x - x1)

y - 8 = 3(x - 5)

y - 8 = 3x - 15

y = 3x - 15 + 8

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Proof:

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3 0
3 years ago
Read 2 more answers
What is the maximum number of possible extreme values for the function,<br> f(x) = х2 -7x – 6?
timama [110]

Answer:

Only one extreme value of f(x) is possible.

Step-by-step explanation:

We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)

Now. the condition for extreme values of f(x) is \frac{df(x)}{dx} =0

Hence, differentiating both sides of equation (1) with respect to x, we get

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So there is only one value of x for which f(x) has extreme value which is x = 3.5.

Therefore, only one extreme value of the given function is possible. (Answer)

3 0
3 years ago
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