Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 6x and C(x) = 0.005x +2.6x + 60, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R'(100), C'(100), and P'(100) a) P(x) = b) R(100) = $ C(100) = $ P(100) = $ c) R'(x) =| c'(x) =D P'(x) =D d) R'(100) = $ c'(100) = $ P'(100) = S

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: We know that, Total profit = Total revenue - Total cost

Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If f(x)=x²-4 and g(x) = 3x, find a. (f+g)(x) c. (f.g)(x) a. (f+g)(x) = (Do not factor.) b. (f-g)(x)…

A: use the algebraic property of the function.

Q: X+7x x-intercepts of f(x) = .2 %3D x +7x-6

A:

Q: Let f(x) = 2* and g(x) = 1. g(0) = 2. f(0) = 3. g(-1) = - (²³)*; and evaluate the following: 3

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

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A: We have to find the zero of P(x)=7x-12.

Q: (x*2)+(y*1.5)+(z*0.5)=20 find the values of X, Y, & Z

A: Please see the below answer.

Q: a. Evaluate g(6) b. Evaluate If f(x) = 3 - x and g(x) = 2x² + x + 5, then

A:

Q: 5. Let the cost to produce x Items be C (x) = 2x² + 1000. a. Find and simplify C(x + h). b. Find and…

A:

Q: Given P(x) = x³ + 2x? + 4x + 8. Write P in factored form (as a function with a product of linear…

A: Given p(x)=x^3+2x^2+4x+8.

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: If f(x) = x2 – 9x and g(x) = x + 8, evaluate each of the following. (a) (f o g)(3)= (b) (g o f)(3)=

A: topic - composite functions

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.