9514 1404 393
Answer:
24
Step-by-step explanation:
The rounded numbers are ...
13 7/10 = 13.7 ⇒ 14
10 1/8 = 10.125 ⇒ 10
The sum of the rounded numbers is 14 +10 = 24.
The estimate of the sum is 24.
Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)
Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2
Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).
So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.
y = x, if -2 < x < 3.
Answer:
10,24,25
Step-by-step explanation:
9514 1404 393
Answer:
an = 4×34^(n-1)
Step-by-step explanation:
If your recursive definition is ...
this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...
For the values shown here, the explicit definition of the sequence is ...
Answer:
price = $25
maximum profit is $2400
Step-by-step explanation:
Given the function modeled by the community theatre as
p(d)=−4d^2+200d−100
The maximum profit will be ,ade at dP/dd = 0
dP/dd = -8d + 200
0 = -8d + 200
8d = 200
d = 200/8
d = 25
hence he theatre will make maximum profit at a price of $25
Substitute d = 25 to get the maximum profit
p(25)=−4(25)^2+200(25)−100
p(25) = -2500+5000-100
p(25) = 2400
Hence the maximum profit is $2400
