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Explain how to evaluate an algebraic expression for given values of the variables. How would a person evaluate the expression "3x - 4y + 9" when x = 2 and y = 5?
(i) Explain the difference between a variable, a variable expression, and an equation.
(ii) Explain the difference between a constant and a variable.
(iii) Explain the difference between a constant and a coefficient.
(iv) Explain the difference between a term and a factor. Use examples to support the explanations.
Finding the slope
Solving maximization problem
A city reported 49,779 births in a year with a population of about 2.6 million people. City B reported 13,892 births in a year with a population of about 1.3 million people.
Using factor method for the quadratic equation
The record for the fastest mile run by a person has been decreasing over time. Back around 1850, when record times were first recorded, the fastest mile time recorded was about 5 minutes. By around 1950, the fastest mile time recorded was about 4 ..
Carolyn Ellis is setting up an annuity for her retirement. She can set aside $2,000 at the end of each year for the next 20 years and it will earn 6% annual interest.
The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 75 feet per second is a function of the time (t) and is given by the equation h(t) = 75t - 16t^2.
Set up the objective function & constraints & then solve.
Verify that the function f(x) = e^-2x satisfies the hypothesis of mean value theorem on the interval [0, 3] and find all the number c that satisfy the conclusion of the mean value theorem.
Solve the following equations
Use any method to solve the quadratic equations
How can we picture real numbers "mod 2 pi" as something that goes round in a ring? How is that related to trigonometry? Can we make a function from "real numbers mod 2 pi" to the rotations around the origin of the Cartesian plan so that this functi..
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