Linear/Quadratic Equations
2x+5. Solve for X
x=-2.5
Using the points (4,2) and (7, 5), find the slope intercept equation.
y -= x - 2
For f(x) = 2x^3, would f(-3) equal a positive or negative number?
Is the following set of ordered pairs a function?
{(10, 9), (–2, –16), (–6, 7), (5, 8), (8, –16), (–11, 9)}
Yes.
Flip's Toy Factory records a marginal cost of $14 per bear and a fixed cost of $700. Write out the cost function, c(x).
C(x)= 14x + 700
x2-25. Solve for X
x=-5,5
if f(x) = 2x^2 + 12x - 22
find f(q).
f(q) = 2q^2 + 12q - 22
Factor completely. b2 + 8b + 7
(b+7)(b+1)
Find the average cost of 400 books, if it costs $60 per book plus a flat rate of $360.
average cost = c(x)/x
average cost = c(x)/x = $60.90
using points (1, 15) and (2, 18), find your y=mx+b equation and solve for x.
x=4
use (2,1) and (3,-1) to find your slope and graph.
If f(x) = x^2 + 2x +1,
Find f(5)
f(5) = 36
Solve for x by factoring. n2 − 11n + 10
n = 10, 1
The cost of renting tuxes for the Choral Society's formal is $20 down, plus $86 per tux. Express the cost C as a function of x, the number of tuxedos rented.
a) What is the cost of renting 5 tuxes?
b) What is the cost of the 5th tux?
C(x)= 86x + 20
a) C(5)=450
b) The cost of the 5th tux is $86.
3x2+11x+6=0, Solve using the AC method. Leave your answer as a fraction if you get one.
(3x+2)(x+3)
x=-3,-2/3
Vertex: (0,-25) X Intercepts: (-5, 0) and (5, 0) Sketch the Graph.
If f(x) = x^2 + 2x +1,
find f(10 + 2)
169
Factor completely. 3p2 − 2p − 5
(3p - 5)(p + 1)
A soft-drink manufacturer can produce 1000 cases of soda in a week at a total cost of $6000, and 1500 cases of soda at a total cost of $8500. Find the manufacturer’s weekly fixed costs and marginal cost per case of soda. (hint: ordered pairs + the equation to find slope)
c(x) = 5x+ 1000
2x2-5x+3 using the quadratic formula, find x.
x=3/2, x=1
if f(x) = x^2 + 2x + 1 and g(x) = 3x + 5, what is the value of f(1) - g(3) ?
3
Solve for X using factoring. 2v2 + 11v + 5
v = -1/2, -5
Your college newspaper, The Collegiate Investigator, has fixed production costs of $70 per edition, and marginal printing and distribution costs of 40¢/copy. The Collegiate Investigator sells for 50¢/copy.
a)Write down the associated cost, revenue, and profit functions. (200 points)
b) What profit (or loss) results from the sale of 500 copies of The Collegiate Investigator? (300 points)
c) How many copies should be sold in order to break even? (extra 100 points)
a) C(x)=0.40x + 70, R(x)= 0.50x, P(x)=0.10x-70
b) P(500)= -20
c) x=700