X) = 5x^3 -2x and g(x) =3x^3. Find f(x) + g(x) & state the domain!

1 answer:

3 0

To add two functions, combine like terms. (5+3x^(3)) = 8x^3-2x. The domain is all real numbers. There is no bound on how small or large the numbers can be for cubed functions.

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Which system of equations has one solution?

Tju [1.3M]

The first graph. This is because the one solution is where the two lines will intersect.
In the second graph, the two lines are parallel, so there is no possible way for them to intersect. In the third graph, the two lines are on top of one another, so there’s more than one solution.
Therefore, the first graph is where there is one solution.

3 0

2 years ago

Read 2 more answers

The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff

jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

x - y ≤ 10 . . . . the difference in acreage will not exceed 10

12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

0 ≤ y . . . . . the number of corn acres is non-negative

B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

P = 360x +225y

C) see below for a graph

D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.