Lines
What is the slope of 4x=-24y? (Campbell)
What is m=-1/6?
You are at Denner. You buy ramen, candy, and cereal because that is all that we eat at Swiss Semester. The total cost of these three items is 8.52 CHF. Ramen is 0.94 CHF more than the candy, and the sum of the ramen and cereal is 2.34 CHF more than the candy. Set up a system of linear equations to find the cost of each item. (Noah)
x+y+z=8.52
x=y+0.94
x+z=y+2.34
Find the remainder of (x^2 + 5x + 6)/(x-1). (Noah)
What is 12?
The profits of Wyatt's wall company (since 2014) have been growing exponentially. His profits are represented by y=3x-2 (in millions), where x is years since 2014. How much money is Wyatt going to make in 2024 (in billions)? (Campbell)
What is $6.561 billion?
Simplify -(64)1/2 (Raina)
Kathy is a better skier than Peter. Kathy skis on the line -12x+6y=36, and Peter skis on the perpendicular line through the point (0, 4). What is the equation of the line that Peter skis? (Raina)
What is y=(-1/2)x+4?
You conduct an experiment to see if the number of crepes impacts ski speed. The r value of your data is 0.2. Is the data worth modeling linearly? Explain. (Chloe)
What is no because 0.2 is close to 0?
The trajectory of the KC Chiefs is defined by -5 x^4 + 10 x^3 -5 x^2. Find the zeros (and their multiplicities) of this trajectory. (Noah)
What are x=0 (mult. 2) and x=1 (mult. 2)
Wyatt's profits are modeled by y=3x-2. His costs are modeled by y=2x-1+0.25. What does the intersection of these two graphs represent? (Campbell)
What is the point where he breaks even?
Simplify (-8)4/3. (Ms. Dickey)
What is 16?
Bob and Chad are required to skate parallel to each other. Bob is skating on the line -4x+2y=2, and Chad needs to pass through the point (4, 6). What is the equation of the line in standard form that Chad must skate? (Raina)
What is y-2x+2=0?
True or False: If the determinant of a matrix is zero, then there are no solutions. (Ms. Dickey)
If the multiplicities of the zeros of a function are k, n, m, p, and q, what is the degree of the polynomial? (Ms. Dickey)
What is k+n+m+p+q?
Students' happiness in relation to # of nights in a row with dessert in a cup is measured by y=-2x+3. What is the happiness level is dessert is in a cup for Monday-Friday? (Chloe)
What is -31?
Simplify (-24)1/6 (Raina)
What is "no real solution?"
Write an equation in standard form for the line that contains (3, 4) and has a slope of 3. (Campbell)
What is y-3x+5=0?
Solve the system
2x+y=3,
3x-2y=5.
Hold on, you are currently in the room with Cramer himself, so you better use his method. (Noah)
What is
D = -7, Dx=-11, Dy=1, so
x=11/7 and y= -1/7?
James is 2 years old than Scarlett. If the product of their age is one less than 7.5 times the sum of their ages. How old are James and Scarlett? (Noah)
What is James is 16 and Scarlett is 14?
What is no because it is not a function to begin with?
What is the domain and range of y=4x-2+3? (Ms. Dickey)
What is D: (-infty, infty) and R: (3, infty)?
Someone has lunch at Testa Griga every day, and she pays 25 CHF. If she starts with 276 CHF in her bank account, what is the equation that represents how much money she has left as a function of time? How many days can they go to Testa Griga before running out of money? (Chloe)
What is y=276-25x and 11 days?
y>=4x+3
x < 4. (Ms. Dickey)
What is [insert correct graph]?
Find a polynomial with the roots x=1+i and x=0. Your answer should have no parentheses. (Ms. Dickey)
What is x3-2x2+2x?
Steve hits the baseball along the line (5x+1)/(4x-3) (it was the best hit in the history of baseball!) What is the inverse function of this fabulous line? (Raina)
What is (3x+1)/(4x-5)?
Where, if anywhere, do y=x1/2 and y=-2x+6 intersect? (Ms. Dickey)
What is (2, 2)?