Answer:
The greatest common factor would be u^2v^5
Step-by-step explanation:
To find the greatest common factor, simply count the lowest number of each term between the two monomials.
For u's, there are 2 in the first term and 4 in the second. So we take out u^2.
For v's, there are 5 in both, so we take out v^5.
Answer:
9
Step-by-step explanation:
1*3 = 3 and 3*3 = 9
So the answer is 9
Hope this helps!
<em>x = 3</em>
<em>y = 1</em>
- <em>Step-by-step explanation:</em>
<em>Hi ! </em>
<em>6x - 5y = 13</em>
<em>9y - 15 + 2x = 0</em>
<em />
<em>6x - 5y = 13</em>
<em>2x + 9y = 15 | ×(-3)</em>
<em />
<em>6x - 5y = 13</em>
<em>- 6x - 27y = - 45</em>
<em>add</em>
<em />
<em>6x - 6x - 5y - 27y = 13 - 45</em>
<em>- 32y = - 32 | ×(-)</em>
<em>32y = 32</em>
<em>y = 1</em>
<em>replace y = 1</em>
<em>6x - 5(1) = 13</em>
<em>6x - 5 = 13</em>
<em>6x = 13 + 5</em>
<em>6x = 18</em>
<em>x = 3</em>
<em>Good luck !</em>
<em />
Thought you'd want to know: If you're talking about parabolas, it's parabolas, not probables. ;)
The standard equation of a a quadratic is y = ax^2 + bx + c. We need to find the values of the coefficients a, b and c.
Taking the first point: When x=3, y=0, so write 0 = a(3)^2 + b(3) + c, or
0 = 9a + 3b + 1c
Do the same for points (-2,3) and (-1,4).
You will have obtained three linear equations in a, b and c:
3= a(-2)^2 + b(-2) + c, or 3 = 4a - 2b + 1c, also
4 = a(-1)^2 + b(-1) + 1c, or 1a - 1b + 1c.
I used matrix operations to solve this system. The results are:
a= -2/5, b= 1/5, c= 21/5
and so the function f(x) is f(x) = (-2/5)x^2 + (1/5)x + 21/5.
