Use completing the square to describe the graph of each function. Support your answers graphically. ƒ(x) = 2x² + 6x+7

A single die is rolled. Find the probability of rolling an odd number or a number less than 4.

Using only algebra, find a cubic function with the given zeros. Support by graphing your answer. -2,3,-5

state the degree and list the zeros of the polynomial function. State the multiplicity of each zero and whether the graph crosses the x-axis at the corresponding x-intercept. Then sketch the graph of the polynomial function by hand. ƒ (x) = (x-1)³ (x+2)²

How much force would you need to cause a 20-kilogram object to accelerate in a straight line to 20 m/s^2?

Solve the equation.

$$\sqrt { x + 6 } - \sqrt { 2 x - 4 } = 0$$

The speed of light traveling through an unknown material is 1.98 x 10⁸ m/s. Given that the speed of light in a vacuum is 3.00 x 10⁸ m/s, what is the dielectric constant of the unknown material?

find the coefficient a of the term in the expansion of the binomial. Binomial (x + 3)^12 Term ax^5

Determine the inverse Laplace transform $f(t)$ of the function $F(s)= \frac{5}{s^{2}+s-6}$.

find the indicated roots of the complex number. Fifth roots of 4(1 - i)

solve the given differential equation. If an initial condition is given, also find the solution that satisfies it. xy'=y+xey/x

Large farms or ______ , that specialize in growing one type of crop for profit, were common in Spanish America.

Which term describes the rising of cold water from deeper layers to replace warmer surface water? a. density current b. downwelling c. surface current d. upwelling

Animals that have a backbone, also called a vertebral column, are known as a. vertebrates b. prokaryotes c. protostomes d. invertebrates.