Terrance: 12 miles/1 hour
Jesse: 8 miles/1 hour
Jesse: 8 miles/1 hour
The circumference of a circle C is directly proportional to its radius r. if the circumference of a circle whose radius is 5 inc
1 answer:
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Answer:
The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
Step-by-step explanation:
We are given the following information in the question:
Charges for 1 hour for Inna = $15
Number of pages typed by Inna in 1 hour = 6
Charges for 1 hour for Jim = $18
Number of pages typed by Jim in 1 hour = 8
Let x be the number of hours Inna work and let y be the number of hours Jim work.
Total cost =
We have to minimize this cost.
Then, we can write the following inequalities:
The corner points as evaluated from graph are: (8,20) and (24,8)
C(8,20) = 480$
C(24,8) = 504$
Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
The attached image shows the graph.
Answer:
f(x) = 1.5x - 0.5x
Step-by-step explanation:
The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.
The triangular number general formula
x (x + 1) / 2
For example,
The sequence
1, 3, 6, 10
*
* * *
* * * * * *
* , * *, * * *, * * * *
_____________________________
The pentagonal numbers
The sequence:
1, 5, 12, 22, 35
As shown in the picture can be divided into three triangles
Triangle 2
x (x + 1) / 2
Triangle 1 and 3 (they are triangles one unit smaller than 2)
n (n + 1) / 2
n= x-1
Replacing n
(x-1) ((x-1) + 1) / 2
(x-1) (x) / 2
(x-1) x / 2
______________
Function represents the pattern
Triangle 2 + (Triangle 1 + Triangle 3)
Triangle 1 = Triangle 3
So then,
Triangle 2 + 2* Triangle 1
x (x +1) /2 + 2* (x -1) x/2
Rearranging
0.5 x (x +1) + x(x -1)
0.5x^2 + 0.5x + x^2 -x
(0.5 x^2 + x^2) + (0.5x -x )
1.5 x^2 - 0.5 x
______
