9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
Intercepts are when one value is 0...like when x is 0, the point would be the y intercept....
x intercept is 4
y intercept is 5
slope: y2 - y1/x2 - x1
slope = 0 - 5/4 - 0
slope = -5/4
the for the equation plug in any points from the line.
y = mx + b
5 = -5/4(0) + b
5 = B
y = -5/4x + 5 is the equationh to the line
2x+4x=6
Combine like terms:
6x=6
Divide 6 to both sides:
x=1
The answer is x=1
Answer:
none of the above
Step-by-step explanation:
180-124=56
