Answer:
x = -2, x = 3 − i√8, and x = 3 + i√8
Step-by-step explanation:
g(x) = x³ − 4x² − x + 22
This is a cubic equation, so it must have either 1 or 3 real roots.
Using rational root theorem, we can check if any of those real roots are rational. Possible rational roots are ±1, ±2, ±11, and ±22.
g(-1) = 18
g(1) = 18
g(-2) = 0
g(2) = 12
g(-11) = 1782
g(11) = 858
g(-22) = -12540
g(22) = 8712
We know -2 is a root. The other two roots are irrational. To find them, we must find the other factor of g(x). We can do this using long division, or we can factor using grouping.
g(x) = x³ − 4x² − 12x + 11x + 22
g(x) = x (x² − 4x − 12) + 11 (x + 2)
g(x) = x (x − 6) (x + 2) + 11 (x + 2)
g(x) = (x (x − 6) + 11) (x + 2)
g(x) = (x² − 6x + 11) (x + 2)
x² − 6x + 11 = 0
Quadratic formula:
x = [ 6 ± √(36 − 4(1)(11)) ] / 2
x = (6 ± 2i√8) / 2
x = 3 ± i√8
The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.
Answer:
Step-by-step explanation:
Probability of getting a 7 + Probability of not getting a 7 = 1.
Odds against drawing a 7 = Probability of not getting a 7.
We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.
There a four sevens in a deck of card, one of each kind.
Probability of getting a 7 = 
P(not getting a 7) 
Answer:
Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.
Part B - y = 30x + 20
Step-by-step explanation:
Hey You! Here's How To Solve This Question:
STEP 1:
60 × 2.5 = 150
STEP 2:
54 × 2.5 = 135
STEP 3:
150 - 135 = 15
So, Darnell read 15 more pages than Fran.
I Really Hope My Answer Helped You!
I used the cross product method
5x = 2.4 •3
5x=7.2
7.2divided by 5
1.44 miles in 3 hours
Hope I helped
