I have been a high school math teacher for 7 years and have had many tutoring positions as well both in person and virtually. I teach algebra, college algebra, algebra 2, SAT prep, amongst other classes
How can the vertex of a parabola be used in solving real-world problems?
In Problems $23-38,$ for the given functions $f$ and $g,$ find:$(a) f \circ g$(b) $g \circ f$(c) $f \circ f$(d) $g \circ g$ State the domain of each composite function.$$f(x)=\frac{x-5}{x+1} ; \quad g(x)=\frac{x+2}{x-3}$$
Explain in your own words what a function is. How is a function different from a relation?
Could a quadratic function have one real zero and one imaginary zero? Explain.
Give an example of a quadratic function that has only real zeros and an example of one that has only imaginary zeros. How do their graphs compare? Explain how to determine from a graph whether a quadratic function has real zeros.
How should the coefficients a, b, and c be chosen so that the systemax + by - 3z = -3-2x - by + cz = -1ax + 3y - cz = -3
has the solution x = 1, y = -1, and z = 2?
What are the conditions on m and b such that the linear functiony = mx+ b is its own inverse? Avoid guessing and checking. Provethis using algebraic technique only.
The cables that hold up a suspension bridge (like the GoldenGate Bridge) form a parabola. The distance between the towersis 4200 feet, and the height of each tower is 500 feet above theroadway. What is the equation of the parabola between the twotowers?
Is Chegg a SCAM?
As of May $2016,$ Giancarlo Stanton of the Miami Marlins had the largest contract in sports history. As part of the 13 -year 325 million dollars deal, he will receive 32 million dollars in $2023 .$ How much money would need to be invested in 2015 at $4 \%$ interest, compounded continuously, in order to have 32 million dollars for Stanton in $2023 ?$ (This is much like determining what 32 million dollars in 2023 is worth in 2015 dollars.) Data: Forbes.com
