Answer:
c= -1.8
Step-by-step explanation:
A function is continuous at a point x if the limits at x from above and below coincide (are equal). Hence,
Limit from above: 
Limit from below: 
And so when these limits are equal we obtain
Answer:
x > 5
Step-by-step explanation:
Formula: length x width
First, you must substitute in the numbers.
16-2x*10 < 60
Work:
(16-2x)10 < 60
Then, distribute the 10 to the 16 and to the 2x.
160-20x < 60
Next, substract 160 from both sides.
-20x < -100
Now, divide -20 from both sides.
x < 5
This isn't the answer yet because you have to flip the sign because you divided by a negative.
x > 5
Answer:
There are 126 longs
Step-by-step explanation:
Let's represent the number of longs by l, number of flats by f and number of cubes by c.
We are told that there are 600 blocks in all.
This implies l + f + c = 600
We also know that there are 3 times as many longs as cubes: this mean
c = 3l
There are also 30 fewer flats than longs.
This mean f + 30 = l I.e f = l - 30
We now have 3 equations to solve simultaneously
l + f + c = 600 ...........(i)
c = 3l................(ii)
l -30 = f...............(iii)
We can substitute equations iii and ii into I
l + l - 30 + 3l = 600
5l - 30 = 600
5l = 630
l = 630/5 = 126.
Answer:
The event which holds a probability of 0.82 is more likely to happen than the event which has a probability of 0.8
Step-by-step explanation:
The probability for any event to happen goes from 0 to 1, 0 being that it won't happen no matter what and 1 being that it will always happen. In this range the higher the probability the more likely it is that this event will actually happen. With this in mind the only one of the options that is less likely to happen is the one with "0.8" chance to happen.
