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1) Graph the function y = 4x/(x2 - 4) by using six step procedure explained in page 321 of section 4.2.
2) Find all real solutions: -(y3 + 4y)/(y2 - 9) = 4y
3) Solve the following rational inequalities:
a) (x2 + 5x + 6)/(x2 -1) > 0
b) (2x + 17)/(x + 1) > x +5
4) Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?
Needs to show all work
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Algebra is an important tool used in everyday’s life. Knowingly or unknowingly we use algebra very frequently in almost every field. It helps to understand the advanced subjects like calculus , geometry , arithmetic , probability , statistics etc. Algebra can be very simple or can be very advanced and complex. So to understand it , start learning the basic concepts and reach upto the highest point step by step. As in case of question 4 , how simply we will use algebra to calculate the time . Graph plotting makes the complex problem into the simplest form .
A baseball team has home games on wednesday and saturday. the two games together earn $5180.00 for the team. wednesdays game generates $120.00 less than saturday's game. how much money was taken in at each game?
Does either one of these formulas define a norm? If yes, show that all three axioms of norm hold. If no, demonstrate which axiom fails.
Sketch the given region R and then find its area: R is the region bounded by the lines y = x, y = -x, and x = 1. R is the region bounded by the x axis and the curve.
If you require 15 dozen peanut butter, 10 dozen sugars and 11 dozen oatmeal cookies, how many of each size box should you buy?
find the real-number solutions of the equation.
The monthly profit from producing and selling x units of a certain product is given by P(x) = -x2 + 320x = 11200. Producing and selling how many units will result in a profit for this product
Some types of worms have a remarkable ability to live without moisture. The following table from one study shows the number of worms surviving after x days without moisture.
The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
The following table represents weekly sales of a product (in $1,000s). Forecast sales for week 5 using exponential smoothing with a smoothing constant of 0.4.
How many groups of seven can be formed that contain a least 1 IT major? Explain.
Elimination or substitution methods
Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1. Find the equation of ellipse.draw the graph. Center (0,0) Focus(0,8) Vertex (0,-10).
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