The price p of a certain product and the quantity x sold obey the demand equation shown. p=-. <+100, 0≤x≤600 6 √x Suppose that the cost C of producing x units is C = + 800. 25 Assuming that all items produced are sold, find the cost C as a function of the price p. [Hint: Solve for x in the demand equation and then form the composite.] What is the cost C as a function of the price? C(n)-(Simplify your answer) ...

Q: Which of the following is the most effective way to restore mangrove forests? A B C D diversion of…

A: We have to tell the most effective way to restore mangrove forests.  Mass planting of propagules, or…

Q: Question 7 Frequency Data was collected for 235 fish from the North Atlantic. The length of the fish…

A:

Q: Create a graph that has the following two intercepts. Make sure to label each of the intercepts on…

A: The given intercepts are  and .The aim is to find the graph of the which passes through the given…

Q: Determine the discriminant of the quadratic equation below. Use the value of the discriminant to…

A: The given quadratic equation is The standard quadratic equation is The discriminant If then two…

Q: Two vertical poles of lengths 10 feet and 12 feet stand 16 feet apart. A cable reaches from the top…

A: We solve the given problem using the Pythagorean theorem.

Q: Find an explicit description of Nul A by listing vectors that span the null space. 1 -3 0-4 0 0 1 -…

A: The given matrix

Q: 58. of each function. Then graph the function and its inverse. 2) g(x) = -2x - 3 1) f(x)=√x-2-2 3)…

A: We can find the inverse of given function

Q: Simplify by multiplying. 8 2 mn m mn 8 mn m² mn (Simplify your answer. Use integers or decimals for…

A:

Q: Given the ellipse (x - 5)² 36 Find the center point: + (y — 4)² 4 List the vertices and covertices:…

A:

Q: 11 Use the following graph to identify the key features listed below. Identify the following key…

A: Given: The graph of a function is shown below.To Find: (a) Interval(s) of increase(b) Interval(s) of…

Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* -2. Give the domain and range of…

A: The given function is .The aim is to transform it to make the graph of .

Q: A. How many units of Product A should be produced? B How many units of Product B should be produced?…

A: To determine the optimal number of units of Product A to produce, we can set up a linear programming…

Q: 1 Use the following function rule to find f(-3). f(2)=-11-3z

A:

Q: Find the standard form for the equation of a circle (x − h)² + (y - k)² = p² - with a diameter that…

A:

Q: Rationalize the denominator. Write the quotient in lowest terms. 5 8) 8-√√3 A) 3/5-√3 B) 40+5√√√3 -5…

A: we need to rationalize the denominator of the given expression.

Q: An influencer is planning a lunch banquet. The equation �=670+24� models the relation between the…

A: The objective of the question is to find the cost of the lunch banquet when the number of guests is…

Q: Consider the quadratic function �(�)=�2+3�-10.Find exact answers for each of the following:The…

A: The objective of the question is to find the x-intercepts, y-intercept, vertex, and line of symmetry…

Q: Use the graph of the function f shown to the right to answer parts (a)-(n). (f) For what values of x…

A:

Q: Consider the matrices A : -1 5 -18] [24] and B = [25-7³] -5

A: given matrices

Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

A: The objective of the question is to find the highest point that the object reaches. This can be…

Q: if interested is daily (assume 3 T A=P(1+ T (a) Annual: $ (b) Semiannual (c) Monthly: $ (d) Daily: $

A: To find the value of investment after 5 years if intrested is compound.A) Annual?B) semi annual?C)…

Q: Determine the graph for each g (x) function if the parent function is f(x) = x. Graph both functions…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: A rug is 5 yards long and 4 yards wide. What is the area of the rug in square yards? What is the…

A: The objective of this question is to calculate the area of a rug given its length and width in…

Q: Two lines have a slope of 4 and the same y-intercept.  How many solutions will this system have?

A: Slope of both the lines=4y-intercept of both the lines is same.

Q: 1 For f(x) = 6x and g(x)= x, find (fog)(x) and (gof)(x). Then determine whether (fog)(x) = (gof)(x).

A: Given Functions as follows

Q: Hello can you help me solve for x in each of the following equations 9. x(4x + 6)(x - 1)= 0

A: According to the Bartleby guide line we only do the first part of multiple questions.(9)…

Q: For the function f(x) = 6e*, calculate the following function values: f(-3) = f(-1) = f(0) = f(1) =…

A: Given that,           ,

Q: Use the graph of the function f shown to the right to answer parts (a)-(n). (b) Find f(12) and f(0).…

A:

Q: Graph the parabola then answer the questions about the vertex, any intercepts, the domain, and…

A: The objective of the question is to graph the given parabola y = x^2 - 4x and find its vertex,…

Q: A relation in x and y is given. Determine if the relation defines y as a one-to-one function of x.…

A:

Q: 5. nts Let 0 k 3 1 -2 2 4 3 1 Find the values of k where A is not invertible. A =

A: A=[0 k 3    1 -2 2    4 3 1]

Q: Determine whether the graph is that of a function by using the vertical-line test. If it is, use the…

A: A graph of the relation is given.The aim is to determine whether the graph is a function or not.If…

Q: The revenue in thousands of dollars is given as R(x)= -2x2+200x-7 where x represents hundreds of…

A:

Q: Problem #4: Let u = (72, 1, 0). Find the orthogonal projection of u onto the subspace W spanned by…

A: The given vectors are:The first orthogonal vector is given by,.The second orthogonal vector is given…

Q: Find the indicated function values for the function g(x) = 7x + 5. 5 0.9(- a. g(0) a. g(0)= b. g(3)…

A:

Q: Problem #3: The following vectors form an orthogonal basis for R4. V₁ = (1,-1, 2, -1), V₂ =…

A: The given vectors are:Write all vectors in the matrix AThe given vector w is,The system Ax=b is,

Q: Find the vertex of the parabola by applying the vertex formula. g(x)=3x²-18x-89 The vertex is (0,0)…

A:

Q: Use the graph of the function f given below to answer the questions. Ay Q List the values of x at…

A: Given: To Find: To find the local maxima if they exist.Note: Since, the student has mentioned to…

Q: Use the graph of the function f shown to the right to answer parts (a)-(n). f(-14)= f(-4)= 4 -4 (b)…

A:

Q: Graph the systems of linear equations to determine the values of x and y that simultaneously satisfy…

A:

Q: nstruct the graph of the lines, one line going through the points (-3,5) and (0,-1), and the other…

A:

Q: Equipment purchased 2 years ago by Newport Corporation to make pneumatic vibration isolators cost…

A: To determine the values of P (Present Value), S (Salvage Value), and AOC (Annual Operating Cost), we…

Q: Section 4.5 - The Dimension of a Vector Space Prereqs: Basis (4.3), coordinate vector and coordinate…

A: The given vectors are .The aim is to prove the given vectors are basis.

Q: Use the method of this section to solve the linear programming problem. Maximize P = x - 2y + z…

A: Step 1: We can convert the inequalities to equalities by adding slack variables. Let's add s1 to the…

Q: Solve for w. You can use numerical or graphical methods to support your work, but you must have an…

A: Given that :We need to solve for w

Q: Melissa wants to buy a bond that will mature to $5500 in seven years. How much should she pay for…

A:

Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: Given graph of function f

Q: Express the vector u below as a sum of two vectors and 2, where u is parallel to the vector given…

A:

Q: Andre is trying to solve this system of equations: x+y = 3 4x = 12 - 4y Looking at the first…

A:

Q: 28 +28

A: