Expression and Formulas
Evaluate:
x2 - 5x + 12 for x = 3
6
3(x +2) +2(x -1) = 5x -7
No solution
Determine the slope: (2,1) and ( -5, -9)
10/7
At Action Water Sports of Ocean City, Maryland, the cost of renting a Jet Ski is $42 per half hour, which includes a 5% sales tax. Determine the cost of half an hour Jet Ski rental before tax.
$40 per half an hour
P = nRT/V;
Determine V when P =12, n =10, R =60 and T = 8
400
(2x +3) (x -1) = 0
{ - 3/2, 1}
Graph the equation :
3x - 2y +6 = 0
On board
A ball is projected upward from the ground. Its height h, above the ground, in feet, can be determined by the equation
h = - 16t2 + 128t where t is the number of seconds after the ball is projected. After how many seconds will the ball be 256 ft above the ground?
4 seconds
Combine the like terms:
0.2(x +4) +1.2(x -3)
1.4x - 2.8
4(3n +1) = 5(4n - 6) + 9n
2
Solve the system:
2x + y =12
x = - 1/2 y + 6
An infinite number of solutions
A manufacturer sells Blu- ray Disc players for $150 per unit. Manufacturing cost consist of a fixed cost of $3850 and a production cost of $115 per unit.
1. Write the cost and revenue equations.
2. Graph both the equation for up to and including 150 units on the same axes.
3. Use the graph to estimate the number of units the manufacturer must sell to break even.
1. C = 115x + 3850
R = 150 x
3. 110 units
Solve for d if
L = (c +2d)/4
d = (4L - c)/ 2
3x2 = -5x -2
{-2/3, -1}
Solve the system:
2x - 4y = 4
3x - 2y = 4
(1, - 1/2)
2x2 - 5x - 2 = 0
[5 + sqrt(41)]/ 4