we have 
which is a cubic function.
and 
.
from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .
<span>the question is 3 variable equation solution
the three equation will be
5x+4y+7z=152
3x+2y+5z=92
2x+2y+4z=74
solving by elimination we get
x=11,y=12,z=7</span>
Answer:
the probability is 0.24 or 24%
Step-by-step explanation:
Given
Percentage of time he goes out with his girlfriend = 40%
Percentage of time he goes out to a bar = 60%
If he goes out with his girlfriend, the percentage of times he spends the night at his girlfriend’s apartment = 30%
If he goes out to a bar, percentage of times he gets in a fight and gets thrown in jail = 40%
let probability that the roommate went to the bar = A
As the roommate going to jail is a conditional probability dependent on A happening, the true probability of the roommate is found by multiplying the absolute probability of the roommate going out to a bar (A) by the probability of the roommate going to jail if he goes to a bar
that is Pr(B) =Pr (B n A)
Pr(B) = Pr(B/A) *Pr(A)
This is given as 60% * 40% or 0.6 * 0.4 (probabilities are 1/100 of percentages)
This gives an answer of 0.24 or 24%
(6,-3)(-4,-9)
slope(m) = (-9 -(- 3) / (-4 - 6) = (-9 + 3) / -10 = -6/-10 = 3/5
y - y1 = m(x - x1)
slope(m) = 3/5
(6,-3)....x1 = 6 and y1 = -3
now we sub
y - (-3) = 3/5(x - 6) =
y + 3 = 3/5(x - 6) <==
