Quadratic Equations
What are the x-intercepts to the following?
f(x) = x2 + 6x + 9
x = 3
Would the following be considered exponential growth or decay?
f(x) = 300(0.86)x
Exponential decay
Would the following sequence be considered an absolute value, exponential, quadratic, or linear function?
1, 2, 3, 4, 5, ...
linear function
Javier has a part-time job and saves $10 of his hourly pay for the purchase of a new laptop that costs $648. He has $80 saved already. Write an inequality represents the number of hours, x, Javier must work to buy the laptop?
10x + 80 ≥ 648
Which of the following would represent a weak correlation coefficient?
-1 -0.8 -0.2 0.3 0.9 1
-0.2 and 0.3
What is the y-intecept in the following function?
f(x) = 3x2 + 18x + 5
The y-intercept is 5
What would be the starting population of the following?
f(x) = 850(1.03)x
850
Would the following sequence be considered an absolute value, exponential, quadratic, or linear function?
5, 10, 20, 40, 80, ...
exponential function
Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the rental. If Larissa has $45 to spend, what is the greatest number of full hours she can rent the bicycle?
2 hours
4, 10, 5, 6, 5, 9, 12, 8, 3
6.9
What is the initial velocity of the following function?
f(x) = 9x2 - 18x + 20
Initial velocity is -18
What would be the growth percentage for the following?
f(x) = 1220(1.06)x
6%
Would the following sequence be considered an absolute value, exponential, quadratic, or linear function?
-10, -7, -6, -7, -10, ...
quadratic function
The cost of renting a car from Big Cars includes an administration fee and a fee for each mile driven. This is modeled by f(x) = 0.23x + 30
What is the cost per mile?
$0.23
Find the median of the following set of data
4, 10, 5, 6, 5, 9, 12, 8, 3
What is the vertex of the following function?
f(x) = -2(x - 3) + 5
The vertex is the point (3, 5)
Write a exponential function that models the following. A park is trying to get rid of all of the skunks. There are 200 skunks to begin and they believe if they can decrease the population by 5% every year, they can eventually get the skunks to move to new land.
f(x) = 200(1-.05)x
f(x) = 200 (0.95)x
Would the following sequence be considered an absolute value, exponential, quadratic, or linear function?
-10, -9, -8, -9, -10, ...
absolute value function
A company is buying mixture of 80 t-shirts and sweatshirts for a party. The cost of a t-shirt is $10 and the cost of a sweatshirt is $25. If the company spends a total of $1400. Write a system of equations that would be used to solve the scenario.
x + y = 80
10x + 25y = 1400
Find the mode of the following set of data
4, 10, 5, 6, 5, 9, 12, 8, 3
5
Would the following function have a minimum or a maximum?
f(x) = -2x2 + 9x - 8
a maximum
How many skunks would there be in 10 years? Round to the nearest whole skunk
f(x) = 200(0.95)x
120
Would the following sequence be considered an absolute value, exponential, quadratic, or linear function?
-20, -10, -4, -10, -20
A school play is selling tickets for $10 for students and $15 for adults. There are S student tickets sold and A adult tickets sold. There are 40 tickets sold for a total of $500. Write an expression to represent the total number of tickets sold.
We are testing two sets of data, height and shoe size. We come up with an r value of .92. What can be said about the correlation and causation of the data?
correlation does not imply causation