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Apply weierstrass' inequality to prove that
[nΣi=1 (1/√i)] ≤ 1/√n! [nΠi=2 (√i-1)] +2[nΣi=2 (1/√i)]
Mr walls has assigned 42 math activities so far this this year each week he assigns 5 more activities. How many assignments will there be after 7 weeks

Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?


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

Let A= R\ {1}, B= R\ {2} and f: A--> B

and g :B --> A be defined by f(x) = 2x /(x-1) and

g(x) = x/(x-2) .

Check whether f and g are functions. Compute go f. Are f and g invertible functions ? Justify your answer.


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?

Your Discussion should be a minimum of 250 words in length and not more than 750 words.
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
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