Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
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B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
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<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
62.80 times .06 aka 6% You get 3.77 after you round. Then add the $3.77(sales tax) to the $62.80 and you get $66.57
So Katelyn bought 5.68 pounds of peaches. And one pound of peaches cost $1.49. So that would mean that we would have to multiply the pounds of peaches she bought, with how much each pound costs. 5.68 × 1.49 = ?
Once you multiply these two decimals, you would get 8.4632. So she spent $8.4632 on 5.68 pounds of peaches. You would multiply the two decimals to find how much she spent in all.
The formula that explain the arithmetic sequence is 
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵ 
, 
, 0 , 
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms = -
∴ The difference between two consecutive terms = + 
=
∴ The common difference =
∴ d =
∵ The first term is
∴ a =
- Substitute a and d in the formula above
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴
The formula that explain the arithmetic sequence is
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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