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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?
Show the total cost expression and calculate the EOQ for an item with holding cost rate 18%, unit cost $8.00, annual demand of 40000, and ordering cost of $48.
Factoring the quadratic equation.
Write a rational expression to represent how much of the project Jan will complete in x hours - how much of the project will Rebekah complete every hour and Write a rational expression to represent how much of the project Rebekah will complete in x h..
Subscribed Subscribe Show Description Hide Description Describe what the graph of a quadratic equation looks like if it has a discriminant that: 1. was positive; 2. was zero; and 3. was negative. (Hint: answer in terms of crossing the x axis).
Find the value of X at which the minimum or maximum occurs.
Asymptotes for rational functions: f(x) = P(x)/Q(x). Given the formula, reconstruct a rational function based on the following pieces of information.
Why is it sufficient to define a quadratic function in terms of a, b, and c? f(x) = ax^2 +bx +c. Present at least two different ways of graphing quadratic functions. Please show detailed work.
The order of a group is not simple.
substitution method or elimination method
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? How might the Pythagorean theorem and distance formula be used in everyday life?
determine the distributive rule for quotients? this inv olves
the perimeter of a rectangle is 34 ft. the length is 7 ft longer than the width. find the dimensions. write a system of
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