Properties of Exponents
Exponential Functions
Quadratic Stuff
Quadratic Applications
Multiply Binomials
Things that start with B.
100
(3a^2b)(4a^2b^3)
12a^4b^4
100
It the following function exponential growth or decay:
f(x)=(.25)(1.01)^x
Growth
100
Does the equation below have a maximum or a minimum value?
h(x)=-13x^2+5x-8
Maximum
100
A Batman jumps off of a building. His height at any time t, can be found using the equation below. How tall was the building from which he jumped?
h(t)=-16t^2+32t+450
450 feet
100
(x-4)(x+6)
x^2+2x-24
100
Most sandwiches have this.
Bread
200
(-2x^4)^4
16x^16
200
What is the percent change modeled by the function:
g(x)=2.5(0.85)^x
15% decrease
200
What it the axis of symmetry of the graph?
x=-1
200
The velocity of a car can be modeled using the equation below. What is the car's velocity at t = 3?
v(t)=2t^2-2t+25
v(3)=37
200
(2x-3)(4x-5)
8x^2-22x+15
200
A good place to keep your money.
Bank
300
(12x^5y^3z)/(4x^3y^3z^4
(3x^2)/(z^3)
300
Write the equation
y=6(1/3)^x
300
What is the vertex of
y=-3(x-5)^2
(5, 0)
300
A Batman jumps off of a building. His height at any time t, can be found using the equation below. When does he reach his greatest height?
h(t)=-16t^2+32t+450
1 second
300
(3x-5)(3x+5)
9x^2-25
300
The outside of a tree.
Bark
400
What is the value of a if
(5x^a)^b=25x^30
a=15
400
Write the equation from the graph:
y=5(8)^x
400
What is the axis of symmetry of
f(x)=x^2+10x-3
x=-5
400
A Batman jumps off of a building. His height at any time t, can be found using the equation below. What is his greatest height?
h(t)=-16t^2+32t+450
466 feet
400
(3x-2)^2
9x^2-12x+4
400
This 5 stringed instrument is often associated with bluegrass, country, and folk music.
Banjo
500
What is the value of a+b if
(ax^b)^a=27x^30
13
500
Katie invests $2000 into a bank account in 1990. It gains 3.5% interest, compounded annually. How much is the the account worth in 2023?
$6013.42
500
What is the vertex of
V(t)=2t^2-8t+5
(2,-3)
500
The feet above the water of a diver can be modeled h(4by the equation below. How long does it take the diver to hit the water?
h(t)=-3t^2+6t+24
4 seconds
h(4)=-3(4)^2+6(4)+24
500
-2(x+4)(x+1)
-2x^2-10x-8
500
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