Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
Answer:
y = 4x + 6
Step-by-step explanation:
Turn the equation we are given into slope-intercept form.
y - 5 = -1/4(x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
The slope of a perpendicular line is the opposite reciprocal of the original line.
-1/4 -> 4/1 -> 4
Find the new y-intercept using the point given.
y = 4x + b
2 = 4(-1) + b
2 = -4 + b
6 = b
Fill in everything we solved for.
y = 4x + 6
Best of Luck!
The slope is 2x. In other words 2/1
Answer:
The profit of the company will be $224.85
Step-by-step explanation:
Let the equation of profit be termed as E(x)
we are given
amount of purchasing the policy (let a)= $1000
probability that women will live for at least 1 year (let b) = 0.9581
amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500
the probability woman dies within one year (let d) = 1-0.9581=0.0419
the equation will be
E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419
= 958.1 - 733.25
= 224.85
