1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
Answer:
one solution
Step-by-step explanation:
The slope is
So, the equation is
The y-intercept is when x=0, so
10 = 2y + 4
6 = 2y
y = 3
18 = 10 + 2x
8 = 2x
x = 4
For this case, the first thing we must do is define variables:
x: rolls of wrapping paper in one week
We now write the equation that models the profit of the band.
We have then:
P (x) = (3.50 - 2) x - 4
P (x) = 1.50x - 4
Answer:
An equation to model the amount of profit, P, the band makes from x rolls of wrapping paper in one week is:
P (x) = 1.50x - 4
