Creating Equations, Polynomials, and Quadratic Functions — Test Answers

What are the values of A , b , and c in the quadratic equation 0 is equal to 5 x minus 4 x squared minus 2 ?

Alessandro wrote the quadratic equation negative 6 is equal to x squared plus 4 x minus 1 in standard form. What is the value of c in his new equation?

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job?

What is the product? 4 x times open paren negative 3 x to the 8th power close paren times open paren negative 7 x cubed close paren

What number should be added to both sides of the equation to complete the square? x squared plus 12 x is equal to 11

Which shows the correct substitution of the values A , b , and c from the equation negative 2 is equal to negative x plus x squared minus 4 into the quadratic formula? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

The volume of a cylinder is given by the formula cap v is equal to pi r squared h , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius open paren x plus 8 close paren and height open paren 2 x plus 3 close paren Which expression represents the volume of the can?

Which function is a quadratic function?

What are the zeros of the function f of x is equal to x squared plus 5 x plus 5 written in simplest radical form? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

Which function is a quadratic function?

What is the equation of the axis of symmetry of the graph of y plus 3 x minus 6 is equal to negative 3 times open paren x minus 2 close paren squared plus 4 ?

Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x is equal to the fraction with numerator negative 3 plus or minus square root of 3 squared minus 4 1 2 end root and denominator 2 times 1 after substituting the values of a , b , and c into the formula. Which is Ramiya’s quadratic equation? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

Which is one of the transformations applied to the graph of f of x is equal to x squared to change it into the graph of g of x is equal to 4 x squared plus 24 x plus 30 ?

When x is equal to 2 , y is equal to 50 and when x is equal to 4 , y is equal to 100 Which direct variation equation can be used to model this function?

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 is equal to 2 x squared plus 3 x minus 8 ? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

Which is one of the transformations applied to the graph of f of x is equal to x squared to change it into the graph of g of x is equal to negative x squared plus 16 x minus 44 ?

What expression is equivalent to open paren 5 z squared plus 3 z plus 2 close paren squared ?

Which shows the correct substitution of the values A , b , and c from the equation 0 is equal to 4 x squared plus 2 x minus 1 into the quadratic formula below? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

Solve x squared minus 8 x is equal to 3 by completing the square. Which is the solution set of the equation?

What number should be added to both sides of the equation to complete the square? x squared minus 10 x is equal to 7