I agree. The answer is choice B
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f ' (1) is shown to be positive
f ' (2) is shown to be positive as well
There are no critical values between x = 1 and x = 2, so f ' (x) is positive on the interval 1 < x < 2, so f(x) is increasing on this interval
All of this points to either choice A or choice B
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Similarly,
f ' (3) is negative
f ' (4) is negative
so f ' (x) is negative where 3 < x < 4 due to no other critical values being between x = 3 and x = 4
Based on these facts alone, the answer is either choice B or choice D
But we know that it can't be choice D as we determined it was between A and B. This rules out choice D
So all that's left is choice B
Answer:
The correct answer would be never
Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
I hope this helps
Answer:
t ≥ 2
Step-by-step explanation:
3t ≥ 15-9
3t ≥ 6
t ≥ 6/3
t ≥ 2
Answer:
12
Step-by-step explanation:
Answer:
77 feet above the ground.
Step-by-step explanation:
After going up 11 flights, (5 +6), he goes down 8, which brings you to 3 and then back up to 7 (3 +4). Since each story is 11 feet high, you multiply 7 and 11, to get a total of 77.