Unit 1 Flashcards

1
Q

Slope intercept form

A

y=mx+b
m=slope
b=y intercept

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2
Q

x, y intercepts

A

make the other one equal to o

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3
Q

slope formula

A

when you have two points
change in y over change in x
y2-y1
x2-x1

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4
Q

point slope

A

if you know slope and a point
y-y1=m(x-x1)
gets slope intercept form

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5
Q

midpoint

A

middle of line, need two points
x1+x2 , y1+y2
/////////, ///////
2 , 2

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6
Q

equation of circle

A

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)

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7
Q

open circle

A

number is NOT included in interval notation

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8
Q

closed circle

A

number IS included

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9
Q

Domain

A

input
x ranges
X can NOT have multiple matching partners

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10
Q

range

A

y values
output
y can cheat, have same partners

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11
Q

Distance formula

A

distance between two points
square root(x2-x1)^2+(y2-y)^2

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12
Q

Find Domain

A

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 (-♾,♾)

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13
Q

Interest formula

A

I=prt
I-interest
p=principal or initial investment
r=rate
t=time

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14
Q

vertical line test

A

tests if a line is a function
if line crosses twice it is NOT a function

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15
Q

parallel lines

A

have same slope

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16
Q

perpendicular lines

A

have negative reciprocals of each other
ex:1/2 -2/1

17
Q

Distance formula(traveling)

A

rate * time
d=r*t

18
Q

identity

A

infinite solutions
all real numbers

19
Q

contradictions

A

no solutions

20
Q

total cost Cx=

A

total cost=fixed costs + (# of units * variable cost per unit)

21
Q

Revenue Rx=

A

number of units * price per unit

22
Q

what to do when multiplying binomial

A

foil method (1-3)(1-3)

23
Q

How to matrix on calculator?

A

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