The following graph shows the actions of a car over a 14 second period. Describe each interval.
Answers may vary: The car increases its' speed over the first 7 seconds. The acceleration is most rapid from 5 to 7 and least rapid from 2 to 6. The car maintains a top speed of 40 mph from 7 to 10. From 10 to 13 the car slows down. Beyond 13 seconds the car is stopped.
Find the perimeter of the following triangle:
7x + 13
Find the AOS, domain, range, and vertex of the function:
AOS: x = 4
Domain: (-∞,∞)
Range: [-4,∞)
Vertex: (4,-4)
Solve:
x^2-x-12=0
x=4 and x=-3
Multiply
(4-7i)(5+2i)
34 - 27i
Find the inverse of f(x) = 2x + 6
f-1(x) =
x/2 -3
or
(x-6)/2
Simplify
m^(3/4)*m^(5/4)
m2
What are the solutions for the following quadratic: (x-9)(2x+1)=0
x=9 and x=-1/2 or -.5
Use the quadratic formula to solve the following:
2x^2-5x+1
x=(5+-sqrt(17))/4
The vertex of the parabola is (4,-5). The focus is at (-1,-5). Which direction does the parabola open?
Left
Write the equation for the following graph:
y = |x + 5| - 7
Write the radical in rational exponent form:
sqrt(p^7)
p^(7/2)
Describe the transformations for the following quadratic:
y=-2(x-4)^2+9
Reflection, Vertical Stretch(Skinnier), Right 4, Up 9
A bank account earns 2% interest. If you deposit $5,500 in the account, how much will there be after 7 years?
$6317.77
Write the equation of a circle with the center (6, -2) and a diameter of 12.
(x-6)^2+(y+2)^2=36
Find the domain and range in interval notation for the following graph:
Domain: (-∞, ∞)
Range: (-∞, 2]
Simplify
(5/3)^-3
27/125
A fish jumps out of water. The function
h(t) =
-16t^2+24t
models the height, in feet, of the fish above water after t seconds. How long is the fish out of water? (Round to the nearest tenth of a second)
1.5 seconds
How many solutions does for the following quadratic have and what is the discriminant?
3x^2-4x+5=0
0 real solutions and the discriminant is -44.
Subtract (3 - 6i) - (8 + 7i)
-5 - 13i
Find the solutions to the following absolute value inequality by graphing: |x-3| - 5 < 1
(less thAND type problem)
Solution: -3 < x < 9
Simplify
(5x-4)^2
25x^2-40x+16
Find the zeros for the following function graphically (Round to the nearest tenth)
f(x)=x^2-3x-6
x=4.4 and x=-1.4
Solve
81x^2+49=0
x=-7/9i and x=7/9i
Solve the following system:
(-2, 4) and (-5, 1)