Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9y but remember if you divide or multiply by a negative you will need to switch/turn-around the sign
y≥-4
Answer: y≥-4
WILL MARK BRAINLIEST
1 answer:
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Answer:
The function has at least 1 zero within the interval [-2,5].
Step-by-step explanation:
The intermediate value theorem states that, for a function continuous in a certain interval , then the function takes any value between
and
at some point within that interval.
This theorem has an important consequence:
If a function is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:
(or viceversa)
Then the function f(x) has at least one zero within the interval [a,b].
We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval
[-2,5]
And we also know that the function changes sign at the extreme points of the interval:
Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that
Solution :
Let the three places be 1, 2, 3, 4, 5, 6, 7, 8
a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2
= 14
[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]
Therefore the required probability is
=
b). The probability that the marketing director to be placed in the leftmost position is
c). The two events are not independent because
where A is the case a and B is the case b.