Algebra Answers

2x1^2+4x1x2+5x2^2

Jose has 19 new magazines to read. Let M be the number of magazines he would have left to read after reading of them. Write an equation M relating R to . Then use this equation to find the number of magazines he would have left to read after reading 11 of them

An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes, to the nearest 10th of a gram?

Create a logarithmic function in the form f(x) = log_a(x + b) and find its inverse. Show all of your solution steps to earn full credit. Your answer must include:

• A logarithmic function with a base value for a and a constant value for b
• Steps showing how you found your function's inverse
• The inverse function stated in function notation, f ^-1(x)

Provide 2 graphs, one that is a one-to-one function and one that is not a one-to-one function. Justify each classification.

Which two of the three functions are inverses of one another? Explain how you verified that two functions are inverses of one another using composition of functions and show your math work.

f (x) = ³√ x- 4 ( imagine if the tip of the symbol went to the end at 4 )

g(x) = x³ − 4

h(x) = x³ + 4

The regular price of a computer is x dollars. The price of a computer after a discount is given by f(x) = x − 400. The price of a computer after a 25% discount is given by g(x) = 0.75x . Use composition to show the new function that represents a $400 discount being taken then a 25% discount being taken.

Solve the equation -x² + 1 = x − 1 graphically. Your answer must include:

• A hand-drawn or calculator-created image of the graph with the equations f(x) and g(x) identified, along with labeled axes and any point(s) of intersection
• A statement listing the solution(s) to the equation
• Your work verifying that the solution(s) create a true statement in the original equation

2(5*3)+2(4*5)+2(4*3)

If a varies jointly as b and c and inversely as the square of d, and a = 120 when b = 5, c = 2, and d = 9, find a when b = 12, c = 9 and d = 9.