The cost function for a certain company is C = 30x + 600 and the revenue is given by R = 100x − 0.5x2. Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $600.

Q: 5) a₁ = -8, a = -48, n = 6 A) -336 B) -1344 C) -672 D) -168

A:

Q: Prove that for all integers n.4n² +6n + 1 is not divisible by 4. Be sure to explicitly show how each…

A:

Q: A group of 25 people is going to run a race. The top three runners earn gold, silver, and bronze…

A: given data total no. of runners = 25 and  we need to select top 3 runners

Q: O √6 0 5√6 O 7√6 8√6 3. Choose the correct answer. Subtract the radical expression. √96 - √54

A: We can find the answer as below

Q: b) log² T

A:

Q: Determine whether the following function is a polynomial function. If the function is a polynomial…

A: Answer is in step 2.

Q: Sarah is building a garden in her background. She has 120 m of fencing to put around the edge of her…

A: Fencing of Sarah's vegetable garden is 120m. As she wants to divide the garden into 3 separate…

Q: Find f(x) and g(x) such that h(x) = (f. g)(x). h(x) = - = 2² -6 1 O f(x) = ₁ g(x) = x² - 6 f(x) =…

A: Given query is to find the composite function.

Q: Use the cofactor expansion to evaluate the following determinant. 3 -3 5 41 2 1 1 -2 0 0 4 3 ol ܚ ܠ…

A:

Q: Evaluate: 138 O 106897 O 51891840 O 1287 O 120

A: Consider  13C8

Q: (4) Evaluate the following 36 (b) (√900)³ -8y05 (c) 4y9t11 (d) Add 5x² - 7x + 3, -8x² +2x-6 and…

A: To find the values of the given expression in simplified form.

Q: 4) Tro

A: answer is in next step

Q: Diagonalize -2 A = 3 -3 -2 2-2 -2 i.e., find an invertible P and diagonal D such that A = PDP-¹,…

A: Solution is given below:

Q: Find the total surface area of the following regular triangular pyramid with a height of 5 cm and a…

A:

Q: A rectangular box resides in R³ with one vertex at the origin, O, and three faces in the x…

A:

Q: Writing logu- log av+2 logaw as a single logarithm results in which of the following expressions?…

A: We can simplify the logarithmic expression as below.

Q: In an election with 7 candidates, how many pairwise comparisons would need to be made in the Method…

A:

Q: O -1; 2 1; 2 20. Choose the correct answer. Find the roots of the quadratic equation y = 2²-2-2 by…

A:

Q: 1 4. Choose the correct answer. Determine the restricted domain of the graph shown. y-axis 3- 2- 1…

A: To determine the domain of the graph.

Q: Find the linear function with the following properties. f(0)=−4 Slope of f=−8

A: We can find the linear function as below.

Q: Find the value of 0 3√64.

A:

Q: Q 2. Choose the correct answer. How many real roots does the quadratic equation 4² -12a +9= 0 have?…

A: We have to find the number of real roots.

Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

A:

Q: 1 Find a polynomial function of degree 3 with - 5,0, 2 3 9 5 O A. f(x)=x²-x² + O B. f(x) = x³ + 3 92…

A:

Q: A jewelry store chain with 5 stores in state A, 12 stores in state B, and 11 in state C is planning…

A:

Q: Hooke's Law

A:

Q: Which of the following vectors are not orthogonal to the vector i = Check all that apply. 3 0 -2…

A:

Q: Suppose that the functions fand g are defined as follows. f(x)=(-2+x)(-6+x) g(x)=1-x (a) Find…

A:

Q: examples of dividing polynomial

A: Two examples are given.

Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 12% of the…

A:

Q: Graph the solution of the system of inequalities -8 x+2y ≥ 4 3x-2y4 -6 x ≥ −2 y 4 -4 * -2 81 6 2 -2…

A: The solution of the system of inequalities  is the intersection region of the solution of the all…

Q: Which angle is vertical to ZFBG? D A C H B G E F

A: We can find the vertical angle as below.

Q: 41,6-√5 e the other zeros? 6 and 7+ √15 5 and 4-√13 -5-4 i and 6+√5 4 and 6 + 11 i

A: Topic:- algebra

Q: 28. Compute Ak where A = [4.-3] 2 - 3.

A:

Q: Given: A = {1, 2, {2}} Which of the following statements are true? a.1 € A b. {1} € A c. {1} ≤ A d.…

A:

Q: 1+1+0=?

A: 1+1=2 2+0=2 1+1+0=2

Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a - 4b + 2c + 2d = 4 2a + 2b − c + 2d = 4 a +…

A: Let us write the Augmented  matrix 12-146-1-422422-12412104

Q: 1) Write the first four terms of the sequence an = n³.

A:

Q: Multiply and simplify. (√x +2√√5)(√x - √5) = 0 (√x + √5)² = 0 0° 0/0 X Ś ?

A:

Q: Solve the equation.

A: HERE given (x+3)/3 + (x+6)/2 = 6  . . . . . .  (1)   multiply equation (1) by 6 we get   2(x+3) +…

Q: The point P = x, - Vlies on the 6 unit circle shown below. What is the value of x in simplest form?…

A: I am attaching image so that you understand each and every step.

Q: years, 20% of a radioactive element decays. Find its half-life. (Round your answer to one decimal…

A: Given query is to find the half life if the substance

Q: 3. Quadrature: (a) Use two point Gauss-Legendre quadrature to approximate [²*cos(x²) dr. (b) How…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

Q: Find the smallest possible set (i.e., the set with the least number of elements) that contains the…

A:

Q: The exponential models describe the population of the indicated country, A, in millions, t years…

A:

Q: Write the standard form of an equation of an ellipse subject to the given conditions. Vertices:…

A:

Q: A package in the shape of a rectangular solid is to be mailed. The combination of the girth…

A: To identify the variables, write a system, and solve the system.

Q: Julian and Skyler are performing a thought experiment. They are trying to figure out how long it…

A: answer is in next step

Q: Simplify. 16 3 4

A: We need to simplify the following expression 1634

Q: -1 2 -2 8 Consider the matrix as A = 6 6 5 4 -3 then find the symmetric matrix A(A).

A: