Answer:
C. f has a relative maximum at x = 1.
Step-by-step explanation:
A. False. f(x) is concave down when f"(x) is negative. f"(x) is the tangent slope of the graph, f'(x). So f(x) is concave down between x = -1.5 and x = 1.5.
B. False. f(x) is decreasing when f'(x) is negative. So f(x) is decreasing in the intervals x < -3 and 1 < x < 2.
C. True. f(x) has a relative maximum where f'(x) = 0 and changes from + to -.
Step-by-step explanation:
• no solution:
3x+9+4x+x = 8x + 9
• one solution:
3x+9+4x+x = 7x + 11
• infinitely many solutions:
3x+9+4x+x = 8x + 11
Answer:
T = ±22
Step-by-step explanation:
Let's solve your equation step-by-step.
0=−16t2+7744
Step 1: Add 16t^2 to both sides.
0+16t2=−16t2+7744+16t2
16t2=7744
Step 2: Divide both sides by 16.
16t2
16
=
7744
16
t2=484
Step 3: Take square root.
t=±√484
t=22 or t=−22
Answer:
B
Step-by-step explanation:
Answer:
The probability that there will be enough seats for all people who turn up is 0.78
Step-by-step explanation:
Given:
A = 500
B = 550
Since it is known from experience that 10% of people who bought tickets don't show up, to find the probability that there will be enough seats for those who show up, we have:
Percentage that will turn up = 100℅ - 10℅ = 90℅
Since 90℅ will turn up, that means the number of passengers will be less than 500.
Therefore for P less than or equal to 500, we use:
P ( X <_ 500) =
= [500 + 0.5 - (550 * 0.9)] / sqrt*(550 * 0. 9 * 0.1)
= 0.78
Therefore, the probability that there will be enough seats for all people who turn up is 0.78
