Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 636516: A)Apply the quadratic formula to find the roots (x-intercepts) of the given function.
B)Graph the function You will also need to find the vertex of each parabola, and most likely additional points to complete the graph. Label the roots (if plot-able) and the vertex with their ordered pairs
1. f(x)= x^2+ 4
2. g(x)= x^2+ x+ 12
Click here to see answer by ewatrrr(10682)  |
Question 637219: Quadratic functions are often used in economics to represent both the production cost function and the revenue function. Suppose that the cost C, in dollars of producing x mobile phones is given by
C(x) = 400 +8x + 0.1x2
Whilst the revenue function R, also in dollars is
R(x) = x(32 = 0.1x)
A point where the cost and the revenue are equal is called a break-even point.
(a) How many mobile phones need to be produced to break even? You must use algebra to answer this question.
(b) Find the cost(s) and revenue(s) corresponding to your solution(s) to part (a).
(c) Draw the graphs of both functions on the same set of axes for the domain 0 ≤ x ≤ 150.
Clearly indicate on your graph where all your solutions to parts (a) and (b) are. This graph may be drawn by hand or with software. Give your graph a title and label its axes appropriately.
Click here to see answer by solver91311(16868)  |
Question 637369: The height of a soccer ball that is kicked from the ground can
be approximated by the function:
y = -16⋅x2 + 80⋅x
where y is the height of the soccer ball in feet x seconds after it is kicked.
Find the time it takes the soccer ball to reach its maximum height: seconds
What is the soccer balls maximum height: feet
Find the time it takes from the moment the soccer ball is kicked until it returns to the ground: seconds
Click here to see answer by nerdybill(6948)  |
Question 637857: for each given axis of symmetry and point on a parabola, determine another point on the parabola. a. axis of symmetry x=2; given point (0,5):
b. axis of symmetry x=-5; given point (-7,3):
c. axis of symmetry x=1/2; given point (-2,7):
d. axis of symmetry x=5; given point (10,0):
Click here to see answer by stanbon(57219) |
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