Answer:
a. x² + 10x + 25
Step-by-step explanation:
because
(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
so, it is a perfect square of (x + 5).
Answer:
3x^4 - 13x^3 - x^2 - 11x + 6.
Step-by-step explanation:
x^2-5x+2 x 3x^2 +2x +3
= x^2(3x^2 +2x +3) - 5x(3x^2 +2x +3) + 2(3x^2 +2x +3)
= 3x^4 + 2x^3 + 3x^2 - 15x^3 - 10x^2 - 15x + 6x^2 + 4x + 6
Adding like terms:
= 3x^4 - 13x^3 - x^2 - 11x + 6.
Answer:
left handed: right handed
1 : 8
Step-by-step explanation:
1 out of every 9 people are left handed
9-1 = 8
That means 8 of the 9 are right handed
left handed: right handed
1 : 8
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)