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1. Graph the following equation and answer the question about it.
a. Graph g(x)= (2x^2-5x-3)/(x^2-2x-8)
b. What are the asymptotes?
Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
A town official wants to estimate the proportion p of voters who favor the granting of a variance so that a builder can construct a health spa in a residential area. How large a random sample is required to estimate p to within 4 percentage points..
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
Explore and find a real-world application of a quadratic equation, whether it is from the realm of physics, finance, or anything else. Write a paragraph about what you find. In your description,
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
Find the slope and the equation of the horizontal line that passes through (-325, 185) Find the slope and the equation of the vertical line that passes through (-325, 185) Find the difference quotient of f(x) = 1/x^2
A cable that weighs 6 lb/ft is used to lift 850 lb of coal up a mine shaft 300 ft deep. Find the work done.
An airplane flying into a headwind travels 216 miles in 2 hours and 42 minutes. On the return flight, the distance is traveled in 2 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
Is empty set a symmetric relation? Prove or disprove.
The electrical signal created by a piece of test equipment at a specific point in time is described by the function Vinst(t) = 12 × sin(360 × 60 × 6.3 + 79). What is the maximum voltage produced by the system.
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