Solving Equations
Solve.
5x+7=52
x=9
Find the slope and y-intercept.
y=1/3x+5
m=1/3
b=5
What do you call the shape of a quadratic graph?
Parabola
What type of slope does a demand function have?
Solve.
4x+1<13
x<3
Solve.
5x-14=8x+4
x= -6
Find the slope and y-intercept.
2x+3y=18
m=-2/3
b=6
Find the axis of symmetry and the vertex.
f(x)=2x^2+8x-5
axis of symmetry: x= -2
vertex: (-2,-13)
What is it called when the supply and demand functions intersect?
Equilibrium
Solve.
2(x-7)> -24
x>-5
Solve.
-4(-6x-3)=12
x=0
Write the equation of the line that passes through the points (0,8) and (2,4)
y=-2x+8
Compare the graph to the parent function.
f(x)=2x^2+5
Vertical stretch of 2
Vertical translation up 5
The wholesale cost of a computer is $700 and it has a markup of 30%.
What is the retail price of the computer?
$910
Solve.
x-6<15+8x
x> -3
Solve.
2(4x-3)-8=4+2x
x=3
Write an equation that passes through the points (1,3) and (2,6)
y=3x
Compare the graph to the parent function.
f(x)=-1/3x^2-4
Vertical shrink of 1/3
Vertical translation down 4
Reflection in x-axis
The variable cost to manufacture an item is $4 per item. The fixed costs are $3,000.
Write an expense function.
E=4q+3000
Solve.
28-x>7(x-4)
x<7
Solve.
24x-22=-4(1-6x)
No solution
Solve the system.
y=2x+1
x-2y=-8
(2,5)
Find the zeros of the function.
f(x)=4x^2-25
Zeros: -2.5 and 2.5
The expense function for a widget is
E=2x+3000
What is the average cost of a widget if 2000 widgets are produced?
$3.50
Solve.
2(3x+1)<14-6x
x<1