Question

Consider the quadratic equation ax^2 + bx + c = 0, where a, b, and c are rational numbers and the quadratic has two distinct zeros. If one zero is rational, which of the following is true of the other zero.

A. The other zero is irrational.


B. The other zero could be rational or irrational.


C. The other zero is not a real number.


D. The other zero is rational.

Answer 1

The function g(x) = x^2 + 3. The function f(x) = g(x+2).

The function f(x) is shifted horizontally

select a value

A. 2 units to the left of g(x).

B .2 units to the right of g(x).

C. The function is not shifted horizontally from g(x).

The function f(x) is shifted vertically

A. 2 units up from g(x).

B. 2 units down from g(x).

C. The function is not shifted vertically from g(x).

Answer 2

The quadratic function h(t) = -16.1t^2 + 150 models a ball's height, in feet, over time, in seconds, after it is dropped from a 15 story building.

From what height, in feet, was the ball dropped? blank

After how many seconds, rounded to the nearest hundredth, did the ball hit the ground? blank