This is the equation for the line seen here:
y=3
If A = {1, 2, 3} and B = {4, 5, 6}, this is
A \cap B
\emptyset
This is the relationship between
\angle b \quad & \quad \angle c
Linear Pair
Given the diagram below, this is the reason the triangles are similar
SAS
This is the quadratic formula SONG (you must sing it)
...
These are the first five terms of the sequence
a_{n} = \frac{2a_{n+1}+4}{2}
if
a_{1} = 1
1, 3, 5, 7, 9
This is the number of tattoos Mr. Krasner has.
3
This is the solution to the following system of equations:
(-4,10)
Given the Venn Diagram, it is the value of
(R \cap N \cap S) \cup (R \cup N \cup S)^c
35
This is the name of the property that states
"If a = b, then b = a"
Symmetric Property of Equality
This is the value of x
2\sqrt(10)
This is the vertex for the quadratic function
f(x) = -2x^2-12x-12
(-3, 6)
This is the explicit formula for the sequence
7, 2, -3, -8, -13, ...
a_{n} = 7 +(n-1)(-5)
or
a_{n} = 7 -5(n-1)
This is the name of the little handsome devil below:
Kazoo
This is the classification for the following system:
2x + y + z = 3
x - 2y – z = 1
3x + 4y + 3z = 5
Consistent, Dependent
This is the contrapositive for the statement:
"If I eat meat, then I am not a vegetarian"
"If I am a vegetarian, then I don't eat meat"
This is the name of the theorem or postulate that states:
Given: Then:
\QR + RS = QS
Segment Addition Postulate
This is the exact value of Tan C
\frac{4}{3}
This is the factored form of the quadratic
4 x^2 + 14 x - 30
2(2x-3)(x+5)
When the 4th term of a geometric sequence is 48, and the 6th term is 108, these are the possible common ratios.
\pm \frac{3}{2}
This is the year Mr. Krasner graduated from High School.
2006
This is the solution to the equation:
This is the final column for the truth table of the following logical statement:
p \wedge (q \vee r)
These are the values of x and y that make the lines l and m parallel:
x = 16, y = 10
This is the measure of the angle B (rounded to the nearest hundredths place)
57.91^{\circ}
Given the graph of f(x) below, this is the coordinates of the image of point A after it goes through the transformations
-\frac{1}{2}f(-x)+2
(-2, 0)
This is the sum of the first 10 terms of the series
-5, 10, -20, 40, ...
1,705
What Month is Mr. Krasner's birthday in?
October
The new machine at a factory runs for an hour for $2 producing 120 bolts and 50 screws per hour. The old machine runs for an hour at $2.20 and produces 80 bolts and 80 screws per hour. If together they can operate for no more than 15 hrs, this is how long each of the machines should run to produce an order of 1000 bolts and 750 screws at the minimum operating costs.
new machine = 3.57 hours
old machine = 7.14 hours.
It is the classification of the following logical statement:
(p → q) ↔ (q ∨ ¬p)
[hint: contradiction, tautology, or neither]
Tautology
Given:
\triangle ABC \cong \triangle EFG
This is the reason the statement:
\overline{BC} \ cong \overline{FG}
is true
CPCTC
When a passenger in an airplane at an altitude of 10 km sees two towns directly to the east of the plane. The angles of depression to the two towns are 28° and 55°. This is how far apart the two towns are.
11.8 km
This is the equation for the following graph
f(x)=-\root[3]{x-3}-1
This is the summation notation form for the series
57, 53, 49, ... , -27, -31
\sum_{i=1}^{23}57-4(i-1)
or
\sum_{i=1}^{23}-4i+61
This is the lie:
A) Mr. Krasner can wiggle one ear at a time
B) Mr. Krasner can juggle
C) Mr. Krasner is ambidextrous
D) Mr. Krasner has moved over 20 times
E) Mr. Krasner has stepped on multiple bee hives
C