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1. During the championship soccer game, the goalkeeper, Brandon, kicked the ball straight up to the Mid-Fielder, Alex, with an initial velocity of 32 feet per second. The height of the ball relative to the ground is a function of time given by the following equation:
f(t) = -16t2 + 32t
Graph this function for these conditions:
a. t is greater than or equal to 0
b. t is less than 0
What is the maximum height reached by this soccer ball?
2. A manufacturing company uses the following function to model the unit cost in dollars to produce the x number of toys.
f(x) = 0.02x2 - 3.4x + 150
For what number of toys is the unit cost at its minimum? What is the unit cost at that level of production?
Two mechanics worked on a car. The first mechanic worked for 20 hrs and the 2nd worked 5 hours. Together they charged a total of $2250.
Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of swimming
Simplifying the equation.
Identify a factor of the following trinomial: 15u2 - 17u - 26-Identify a factor of the following trinomial: 17r2 - 48r + 28
Find and simplify the difference quotient - Vertical Line Test to determine if the following relation describes y as a function of x.
Write a short paragraph explaining why the function f is continuous for all real numbers. Explain why the derivative of a function can be approximated by the formula below for small values of Δx.
with regression we are concerned about variability around the rather than variability around the which would be the
every year it seems as though last seasons baseball rookie of the year fails to live up to expectations for his
When all the results are combined what is the proportion of females? Is the proportion the same in each of the individual families? Explain how this demonstrates the Law of Large Numbers.
a cargo container was measured with a degree of accuracy to the nearest 1ft 8ft times 8ft times 20ft. what is the
The steps are: (a) Move the constant term to the right side of the equation (b) Multiply each term in the equation by four times the coefficient of the x2 term (c) Square the coefficient of the original x term and add it to both sides of the equat..
Evaluate the division of two functions.
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