Unit 1 Flashcards
Slope intercept form
y=mx+b
m=slope
b=y intercept
x, y intercepts
make the other one equal to o
slope formula
when you have two points
change in y over change in x
y2-y1
x2-x1
point slope
if you know slope and a point
y-y1=m(x-x1)
gets slope intercept form
midpoint
middle of line, need two points
x1+x2 , y1+y2
/////////, ///////
2 , 2
equation of circle
distance from center of circle to edge of circle x^2 +y^2=r^2
assuming center is (0,0)
diff center
(x-h)^2+(y-k)^2 (h,k)
open circle
number is NOT included in interval notation
closed circle
number IS included
Domain
input
x ranges
X can NOT have multiple matching partners
range
y values
output
y can cheat, have same partners
Distance formula
distance between two points
square root(x2-x1)^2+(y2-y)^2
Find Domain
if fraction set denominator to not equal 0
if even root, no negative, so equal to # or 0
if not those then all real numbers (-♾,♾)
Interest formula
I=prt
I-interest
p=principal or initial investment
r=rate
t=time
vertical line test
tests if a line is a function
if line crosses twice it is NOT a function
parallel lines
have same slope
perpendicular lines
have negative reciprocals of each other
ex:1/2 -2/1
Distance formula(traveling)
rate * time
d=r*t
identity
infinite solutions
all real numbers
contradictions
no solutions
total cost Cx=
total cost=fixed costs + (# of units * variable cost per unit)
Revenue Rx=
number of units * price per unit
what to do when multiplying binomial
foil method (1-3)(1-3)
How to matrix on calculator?
2nd , 𝑥−1
edit, matrix a
enter dimensions
2nd, mode
2nd , 𝑥−1
arrow to math, rref(
2nd , 𝑥−1, select matrix A
close () and enter
