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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?
What is the best method for solving absolute value inequalities? Finally, we remember that |x|=|-x|. This means that we do not solve absolute value inequalities with a negative x inside! We simply rewrite it: |2-3x|=|3x-2|. This means we never have..
When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process?
Simplify for the unknown variable
Perform the addition.(3x2 + 3x -2) + (-7x2 + 8) =(the 2's should be above and to the right of the x)
suppose that the percentage annual return you obtain when you invest a dollar in gold or the stock market is dependent
Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population.
given a two-digit number make a three-digit number by putting a 6 as the right-most digit. then add 6 to the resulting
Apply the mathematical model to solve problems
The process is shown for how to assign values to each element in the quadratic equation. Finally, the solution for the x values are produced. The steps and descriptions given in this solution can be used to solve thousands of other equations using..
The number of tickets sold each day for an upcoming performance of Handelâ??s Messiah is given by N(x)=-0.4^2+12x+10, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will ..
1- Three research departments have 6 , 7 , and 8 members, respectively. If each department is to select a delegate and an alternate to represent the department at a conference, in how many ways can this be done?
Please solve in lowest terms with parenthesis if necessary:
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