The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, and is represented by the equation M(x) = 10x - x². What rainfall produces the maximum number of mosquitoes?

Q: What value of x gives the maximum value of the quadratic function y=-5x2+7x+3?

A: The given function  y = - 5x2 +7x +3 To find the minimum or maximum value of the function. We have…

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Answer

Q: use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

A: Use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

Q: The path of a diver is modeled by f(x)= -4/9x2 + 24/9x + 9 where f(x) is the height (in feet) and x…

A: Since, we have been given the path of driver by :-f(X)=Y=-49X2+249X +9 -(i)Our aim is to find the…

Q: The profit per acre from a grove of orange trees is given by x(110 - x) dollars, where x is the…

A:

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the june rainfall x, in…

A:

Q: The concentration of a certain drug/medicine in a patient's blood (in parts per million) is given by…

A: Given that: C(x)=-x4+12x3-58x2+132x

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: Solve   f(x) = 0-3e-1

A: Given that fx=0-3e-1   Using calculator, we get fx=0-3e-1=-3e=-1.103

Q: R = 840x + 207x² – x³ X = units

A:

Q: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: Solve for x F 135° (4x-3)

A: Given, The given angle ∠135° and ∠(4x-3)° are the supplementary angle  We know that two angles are…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: Solve for x x'(t)=x-t

A:

Q: A manufacturer designs and sells each of the radios it produces for 75 soles. If x daily radii, then…

A: Since, the amount of the total daily cost of production is given by:-C(x)=x2+25x+96  -(i)Price of…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

A:

Q: Solve : f(x) = 3√(x - 1)

A: Given function is  f(x)=x-13

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: Given f(x)= -5x+1, solve for x when f(x)= -4

A: Here we have to solve for x.

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: A projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height…

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 45x -0.025x2 - 5000…

A: The profit function on sale of x infant car is P(x)=45x-0.025x2-5000.

Q: Solve the quadratic for x: f (x) = x² – 7x – 18

A: The formula to find the solutions of the quadratic equation helps to find the required solutions.…

Q: The profit per acre from a grove of orange trees is given by x(230 - x) dollars, where x is the…

A: Given profit function :

Q: Enter the solution to the equation f(x)-g (x) = 0

A: Here we find solutions for f(x)-g(x) = 0

Q: Use the vertex (1,6) and a point on the graph (6,-19) to find the equation of the quadratic…

A: Given: Vertex1,6Point on the graph 6,-19

Q: A building worth $825,000 is depreciated for tax purposes by its owner using the straight-line…

A:

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: we first find the profit function P(x) as  P(x)=R(x)-C(x) Now we find the derivative of P(x) and…

Q: The profit per acre from a grove of orange trees is given by x(270 – x) dollars, where x is the…

A: Given, The profit per acre from a grove of orange trees is given by x(270-x) dollars, x is the…

Q: If the profit function for a product is P(x) = 4000x + 95x² – x³ – 208,000 dollars, selling how many…

A:

Q: With profits from an Apple orchard is given by P(x)=x(404−2x) dollars, where x is the number of…

A: Given :-Profit function isP(x) = x (404-2x) dollarswhere x is number of almond trees per acreWe have…

Q: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by…

A: Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by

Q: What is the equation of a quadratic function y = f(x) with two irrational zeros,-h and h where h is…

A: Given,         The equation of a quadratic function y=fx with two irrational zeros, -h          and…

Q: solve equation f(x)=0 when f(x)=5x^3-54x^2+170x-104

A:

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

A:

Q: The path a diver takes from the diving platform is modeled by the equation f (x) = –,x² + 3x + 12…

A: find the maximum height

Q: The amount of money in a fund F (in millions of dollars) can be approximated by the equation…

A: Consider the given function:

Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: A company has identified that the revenue for a particular product is given by the equation R = -x3…

A: To find: The number of units need to be sold to obtain the maximum revenue. Given: The revenue is .…

Q: A firm can produce only 2,900 units per month. The monthly total cost is given C(x) = 400 + 200x…

A: first we will calculate the profit by using the formula  profit=revenue -cost here, we have been…

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

Q: The profit per acre from a grove of orange trees is given by  x(150 − x) dollars,  where x is the…

A:

Q: If the profit function for a product is  P(x) = 4200x + 55x2 − x3 − 88,000  dollars, selling how…

A:

Q: ivp

A:

Q: A firm can produce only 1100 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: Cost  is given by 400 + 200x Revenue is given by 350x -1100x2 We have to find the units to be sold…

Q: The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number…

A:

Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x )…

A:

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

A:

Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h=…

A: When the ball hits the ground, the height of the ball from the ground is zero. The solution of the…

Q: What is the maximum value of the function y = -x² + 6x – 7?

A: 3 To find the maximum value of the given function y = -x2 +6x -7