Quadratics and Complex Numbers — Test Answers

What is the distance from the origin to point cap p graphed on the complex plane?

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 ?

Which equation demonstrates the multiplicative identity property?

Solve for x in the equation x squared minus 12 x plus 36 is equal to 90

Which equation is the inverse of open paren x minus 4 close paren squared minus 2 thirds is equal to 6 y minus 12 ?

Which equation represents a graph with a vertex at open paren negative 3 comma 2 close paren ?

Which equation is y is equal to 9 x squared plus 9 x minus 1 rewritten in vertex form?

Use the zero product property to find the solutions to the equation 6 x squared minus 5 x is equal to 56

A company’s profit is modeled by the quadratic function with zeros 6 and 42 The point open paren 15 comma 81 close paren also lies on the boundary line. Any values above the boundary line exceed the expected profits. What is the standard form of the quadratic inequality represented by the description?

Use the zero product property to find the solutions to the equation x squared plus x minus 30 is equal to 12

What is the solution set of the quadratic inequality x squared minus 5 is less than or equal to 0 ?

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1 fourth the area of the original square. What was the side length of the original square? cap A is equal to s squared

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression open paren negative 1 plus i close paren plus open paren 21 plus 5 i close paren ?

If x squared plus m x plus m is a perfect-square trinomial, which equation must be true?

Which statement about the following equation is true? 2 x squared minus 9 x plus 2 is equal to negative 1

What is the value of the expression i to the 0 power times i to the 1th power times i squared times i cubed times i to the 4th power ?

A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? cap v is equal to l w h cap p is equal to 2 times open paren l plus w close paren

Using the quadratic formula to solve 4 x squared minus 3 x plus 9 is equal to 2 x plus 1 , what are the values of x ?

In which quadrant is the number 6 minus 8 i located on the complex plane?

When a baseball is hit by a batter, the height of the ball, h of t , at time t , is determined by the equation h of t is equal to negative 16 t squared plus 64 t plus 4 If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?