Answer:
The roots are 2, 5 and 6.
Step-by-step explanation:
As the last term is 60 we could see if one root is 2:
2^3 - 13(2)^2 + 52*2 - 60
= 8 - 52 + 104 - 60
= 112 - 112 = 0
So x = 2 is one root and x - 2 is a factor.
Long multiplication:
x - 2 (x^3 - 13x^2 + 52x - 60 ( x^2 - 11x + 30 <--- Quotient
x^3 - 2x^2
- 11 x^2 + 52x
- 11x^2 + 22x
30x - 60
30x - 60
So x^2 - 11x + 30 = 0
(x - 6)(x - 5) = 0
x = 6, 5.
Step-by-step explanation:
marlena steps should look like this:
2x + 5 = -10 - x
(minus 5 from both sides)
2x = -15 - x
(add x to both sides)
3x = -15
(divide by 3)
x = -5
Answer:
A
Step-by-step explanation:
Plug in the values of each of the coordinate pairs into the linear system.
2x - 8y = 0, -3x - 8y = 20
A)
2*-4 - 8*-1 = 0
- 8 - (-8) = 0 -> CORRECT!
-3x - 8y = 20
-3*-4 - 8*-1 = 20
12 - (-8) = 20 -> CORRECT!
You don't need to try any other pairs, you already know that this is the solution to the problem! Remember, in the future, just plug all the coordinate pairs into the equation. Whichever one makes the equation true is the correct solution! Hope this helps!
Answer:
7
Step-by-step explanation:
since we know that v=7, substitute 7 into the equation 49/v to get 49/7, which equals 7
