An open topped box is to be made by cutting out identical squares from the corners of a rectangular piece of cardboard then folding up the resulting flaps. Thus, if the side of each removed square has length x then the box height will also be x. If the cardboard has dimensions 70cm by 50cm find an expression for the volume of the box V (x) in terms of x. What is the domain of this function? What sort of function is it (quadratic, cubic, rational or. . .)?

Q: Find the x-intercepts of the function f(x)=-3(x+2)^2+75 Leftmost intercept x= Rightmost intercept…

A: Solution:- Given fx=-3x+22+75             for x-intercepts fx=0             ⇒fx=0…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: Assume SSE(b)=(8-4*b)^2+(10-3*b)^2 +(7-8*b)^2  . Find the value of b that will minimize this…

A:

Q: If x=1 is a zero of the polynomial function f(x)=3x^3-8x^2+3x+2, which of the following is another…

A: Given that x=1 is a zero of the polynomial function  we have to find other zero of f(x)

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: show that the difference quotient of f(x)=square root of x can be written as 1/the square root of…

A:

Q: A specific section of Mathews' gastronomic tract can be modeled by the function g(x) =-x' +11x –…

A: For a function, y=f(x), the dependent variable is y, and the independent variable is x. The value of…

Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x). Find all the zeros.

A: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x).Find all the zeros.

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: The route that a trolley takes around a city can be represented by the functions x² + y² = 5. A…

A: To find out the location means the points where the trolley meet the train.

Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: Create a quadratic function in factored form and show how to convert it to standard form.

A: Let a quadratic function f(x)=x2-3x+2