For the quadratic function f(x)=x^2+4x, answer part (a) below (a) What tis the equation of the axis of symmetry?

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

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

A: Given height is : Sx=60+29.4x-9.8x2 (a) How long will it take the projectile to reach its maximum…

Q: Approximate the value of the root of f(x)=-3x³+5x²+14x-16 near x=3 to within 0.05 of its actual…

A: Given : f(x)=-3x3+5x2+14x-16, to find the value of the root near x=3.

Q: what is quadratic function ?

A: first, let's understand what is a function? It is a relation from a set of inputs to a set of…

Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: Give three numerical examples of quadratic functions

A: To give three numerical examples of quadratic functions

Q: Determine the domain and range of the quadratic function. f (x) = -4(x + 7)2 – 5 Enter your answer…

A:

Q: Determine the domain and range of the quadratic function.   f(x)=−4(x+1)^2 − 4   Enter your…

A: We have to find the domain of :  f(x)=−4(x+1)2 − 4.

Q: What is the result of completing the square for f (x) = x2 + 1?

A:

Q: Solve f(2) for f(x) = -4x + 3 %3D f(2) = [? ]

A: Put x= 2 in equation We get  - 4(2) + 3 -8 + 3 - 5

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

A:

Q: Suppose that the daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the…

A: Given : The daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the average…

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

A:

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

A:

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A:

Q: Explain why the condition of a 0 is imposed in the definition of the quadratic function.

A:

Q: The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x − 2800,where x…

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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: Identify the intercepts of the quadratic function from the quadratic below. f (x) = 5 (x +2) (x +…

A: The x-intercepts of a quadratic function is obtained by equating the quadratic to zero.

Q: 12.What are the zeros of the function represented by the quadratic equation 9 (x) = (x+ 3) +3?,

A: Solution: The objective is to find the zeros of the given quadratic equation

Q: of f (x) = 1³ + 2z² + 3x + 6?

A:

Q: Suppose you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your…

A:

Q: Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point…

A: As given by the question, There are given that the vertex is 3, 0 and the point is 4, -1. Then, To…

Q: Solve for f(2) f(x)=-3x+3 f(2)=?

A:

Q: What are the roots of the quadratic function y--6.1x-97.6x– 390.4?

A: Directly use the quadratic formula and find the roots.

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

A:

Q: What is the name of the shape of a quadratic function

A: Given query is to give the name of the shape of quadratic function.

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

A:

Q: What are the quadratic functions?

A: The function of the form ax2+bx+c is known as quadratic function where a, b and c are real numbers…

Q: The production costs per week for producing x widgets are given by: C(x) = 500+ 350x -0.09x², 0≤x≤…

A: The production cost per week for producing x widgets is given by: Cx=500+350x-0.09x20≤x≤1000To…

Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

A:

Q: If a ball is tossed in the air modeled by f(x) = -1.5 x2 + 12x + 7 , where height is measured in…

A: The given function is:f(x)=-1.5 x2 + 12x + 7

Q: Solve f(-6) for f(x) = 3x+ 15 %3D f(-6) = [ ? ]

A: Given: f(x)=3x+15

Q: represents Quadratic Function and No when does not.

A: Concept - Any relation/equation of the form of - ax2+bx+c represents a quadratic function. The…

Q: What is the largest value of the quadratic f

A: Here is the solution of the given problem.

Q: The net profit in dollars per day for a small business owner is given by the equation f…

A: We know:

Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given relation:P(x)=50x-0.25x2Where,P(x)=Profitx-number of tickets Differentiate P(x) with respect…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

Q: Suppose that an object is dropped from a height h. Its velocity v at impact with the ground is given…

A: given: suppose that an object is dropped from a height h. Its velocity v at impact with the ground…

Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

A:

Q: if you vertically stretch the quadratic parent function, F(x)=x2, by multiplying by 7, what is the…

A: Explanation of the solution is given below...

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by…

A:

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

A: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…