Quadratics
What is the value of the positive zero of the function, f, defined by f(x) = 4x2 + 3x - 1?
x = -1
3x4y3 / 6x2y
x2y2/2
The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500?
7 hours
Solve for x.
3(x - 4) = 2 (-2x + 1)
x = 2
A function is shown below.
g(x) = 19.60 + 1.74x
What is the value of g(30)?
g(30) = 71.8
What is the vertex of the quadratic on a graph?
f(x) = 2x2 + 4x - 5
(-1,-7)
(5x3y8)2
25x6y18
The function a(n) = 3n – 7 represents the value of the nth term in a sequence. What is the sum of the 2nd and 8th terms of the sequence?
16
9 = (v + 4) / (v + 12)
v = -13
Two functions are shown below.
f(x) = 3x + 7
g(x) = 2x + 12
What is the value of x where the graphs of f(x) and g(x) intersect?
What is the value of the smaller zero of the function f(x) = 2x2 – 8x – 24?
x = -2
8m3r-2 / 4m5r
2 / m2r3
Karen has two dogs. The larger dog weighs 3 pounds more than the smaller dog. The combined weight of the two dogs is 15 pounds. What is the weight, in pounds, of the smaller dog?
6 pounds
7 - (5t - 13) = -25
t = 9
The width of a rectangle is 3/4 its length.
The perimeter of the rectangle is 420 ft.
What is the length, in feet, of the rectangle?