Algebra Answers

There are 45 out of the 54 people in writer's club who are left handed. What percent of the people are right handed?

whats 8 + 8

Fatima plans plans to spend at least $15 and at most $20 on sketch pads and pencils. How many pencils can she buy while staying in her price range

a rectangular classroom seats 72 students. if 3 more seats were added to each row, the numbers of rows could be reduced by 2. find the original numbers of seats in each row.

Transformation in graph of quadratic equation


Objective: to analyzed the effect of changing the values of a,h,and k of a quadratic function and it's graph


Direction: to determine the transformation in the graph of an equation analyzed the effect of changing the values of a,h,and k in the graph of y=x²



1.y=5(x+9)²+11

2.y=-7(x-10)²+4

Which of the following coordinates of points belong to the solution set of the inequality y<2x²+5×-1 ??


A. (-3,2)

B. (-2,9)

C. (1,6)

D. (3,1)

What happens if we graph both f and f^{-1} on the same set of axes, using the x-axis for the input to both f and f^{-1} ?

[Suggestion: go to www.desmos.com/calculator and type y=x^3 {-2 < x < 2}, y=x^{1/3} {–2 < x < 2}, and y = x {–2 < x < 2}, and describe the relationship between the three curves.] Then post your own example discussing the difficulty of graph both f and f^{-1} on the same set of axes.

Suppose f:R \rightarrow R is a function from the set of real numbers to the same set with f(x)=x+1. We write f^{2} to represent f \circ f and f^{n+1}=f^n \circ f. Is it true that f^2 \circ f = f \circ f^2? Why? Is the set {g:R \rightarrow R l g \circ f=f \circ g} infinite? Why?

What can be said about the domain of the function f \circ g where f(y)= \frac{4}{y-2} and g(x)= \frac{5}{3x-1} ? Express it in terms of a union of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph of f , g , and f \circ g .

Find the inverse of the function f(x)=4+ \sqrt{x-2} .
State the domains and ranges of both the function and the inverse function in terms of intervals of real numbers.

Go to www.desmos.com/calculator and obtain the graph of f , its inverse, and g(x)=x in the same system of axes. About what pair (a, a) are (11, 7) and (7, 11) reflected about?