Answer:
p = 5/7
Step-by-step explanation:
The given function is:
for -4 ≦ x < 1
for 1 ≦ x ≦ 5
Part a)
A continuous function has no breaks, jumps or holes in it. So, in order for g(x) to be continuous, the point where g(x) stops during the first interval -4 ≦ x < 1 must be equal to the point where g(x) starts in the second interval 1 ≦ x ≦ 5
The point where, g(x) stops during the first interval is at x = 1, which will be:
The point where g(x) starts during the second interval is:
For the function to be continuous, these two points must be equal. Setting them equal, we get:
3 = 7p - 2
3 + 2 = 7p
p = 
Thus the value of p for which g(x) will be continuous is .
Part b)
We have to find p by setting the two pieces equal to each other. So, we get the equation as:
Substituting the point identified in part (a) i.e. x=1, we get:
This value agrees with the answer found in previous part.
Answer
Find out the how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres .
To proof
As given
Timothy is putting fertilizer on a field after planting some crops.
The directions on the barrel state to use 0.75 quarts for each acre of land.
Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres
First case
Fertilizer used for the 22.5 acres field = 22.5× 0.75
= 16.875 quarts
Second case
Fertilizer used for the 38.25 acres field = 38.25× 0.75
= 28.6875 quarts
Total fertilizer used in two field = 16.875 quarts + 28.6875 quarts
= 45.5625
= 45.563 quarts ( approx )
Hence proved
Answer:
5000 X (0.96)^n
$3607
Step-by-step explanation:
Profit decreases at a rate of 6% per year = 100 - 6 = 96%
In year 1, profit would be = 5000 x 0.96 = 4800
In year 2 = 5000 x 0.96^2 =
5000 X (0.96)^n
5000 X (0.96)^8 = $3607
Answer:
what is the answer?
Step-by-step explanation:
