It’s 84 you just break into three pieces and find the side lengths
Answer:
absolute max is 120 and absolute min is -8
Step-by-step explanation:
Find critical numbers
f'(x) = 3x^2 - 12x + 9 = 0
= 3(x^2 - 4x + 3) = 0
3(x-3)(x-1) = 0
(x-3) = 0 or (x-1)=0
x = 1,3
Test them!
x<1 Sign of f' on this interval is positive
1<x<3 Sign of f' on this interval is negative
x>3 Sign of f' on this interval is positive
f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.
f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.
Test the endpoints to find the absolute max and min.
f(-1) = -8
f(1) = 12
f(3) = 8
f(7) = 120
The absolute maximum value of f is 120 and the absolute minimum value of f is -8.
Answer:
Step-by-step explanation:
(1-4)/(2+3)= -3/5 is the slope
y - 4 = -3/5(x + 3)
the solution is F
Answer:
1/5525 ≈ 0.018%
Step-by-step explanation:
There are 4 kings in a standard deck of 52 cards.
The probability that the first card is a king is 4/52.
The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).
The probability that the third card is a king is 2/50.
The probability of choosing 3 king cards is therefore:
P = (4/52) (3/51) (2/50)
P = (1/13) (1/17) (1/25)
P = 1/5525
P ≈ 0.018%
Answer:
d. 60
Step-by-step explanation:
According to Gay Lussac's Law
P1/T1=P2/T2 where
P1= Pressure at the start, T1 = initial Temperature
, P2= Final Pressure, T2 =Final Temperature
T1=P1*T2/P2= 7*420/49=60
