Answer:
5x-7
Step-by-step explanation:
= -8x - 12 - 3x + 5
= -8x - 3x - 12 + 5
= 5x-7
Answer:
Domain is -3
Step-by-step explanation:
Given that coordinate of a graph is (-3, -2)
We have to find out the domain.
We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.
Domain is the set of values of A which have images in B.
Use the above definition.
We have A = {-3,...} and B = {-2,....}
The mapping is from -3 to -2
Hence domain is -3
Answer:
a) Depth changing rate of change is
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them
, then
.
a) As we have that volume is
, then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is
, we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate
Answer:
D. 
Step-by-step explanation:
Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.
Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.
We have been given that probability of an event is 2/7.
Upon substituting our given values in above formula we will get,




Therefore, the odds of the same event are
and option D is the correct choice.