Math Review 4

Front

What is the solution to the equation x² - 4x + 4 = 0?

Back

x = 2

Front

Evaluate 2x² + 4y - x - 8, if x = 1 and y = -5.

Back

-27

Front

If a company has 6,500 employees and reduces its staff by 7%, how many employees will remain?

Back

6,045

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Front

If the volume of a cone is 36π m³ and the height is 12 m, what is the diameter?

Back

6 m

Front

What is the solution to the equation x² = 16?

Back

x = 4 or x = -4

Front

What is the quadratic formula used to solve ax² + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

How do you find the roots of a quadratic equation?

Back

By factoring, using the quadratic formula, or completing the square.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real and distinct, one real and repeated, or two complex.