abeka 10th grade algebra 2 test 12
determine the matrix: [1, 5] [3, -1]
(1×-1)-(3×5)=-16
solve for θ: 2 cosθ=1
(A s t C) [0°, 360]. cosθ= 1/2. θ=cos⁻¹ 1/2 θ=60°, 300°
x⁶+y⁶
(x²+y²)(x⁴-x²y²+y⁴)
solve and place on a number line: x²+7x-18
1. (x+9) (x-2) 2. x=-9 x=2 3. closed dot on -9 shade left closed dot on +2 shade right
determine the next term of the geometric sequence: 25, 14, 3, -8...
1. 14-25= -11 2. -11-8= -19
evaluate ₁₈P₁₅
1. 18!/(18!-15!)=18!/3! 2. 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3!/3! 3. 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4= 1.067...
calculate the z-score: z=44 µ=40 σ=3
1. 44-40/3 2. 4/3=1.3
5 ∑3i i=1
1. 5 3∑i i=1 2. 3[5(5+1)/2] 3. 3[5(6)/2] 4. 3(15)= 45
find the 6th term of an arithmetic sequence in which the first term is 7 and the common difference is 6.
1. a=a₁+(n-1)d 2. a₆=7+(6-1)6=37
σ=14 √n= 22 x=10 µ=6
1. σ=σ/√n 2. 14/√22=2.984 3. x-µ/σ 4. 10-6/ 2.984= 1.340
convert 200° to radians.
200°×π/180°= 10π/9
frequency chart
34.4%
determine the matrix: [3, 4] [4, 2]
3×2
frequency chart
6.7%
what is the empirical rule?
68-95-99.7
frequency chart
69.1%
standard form of complex numbers
8-4i
what is the argument? : 2=log₃ 9
9
what is the compounded continuously intrest formula?
A=Pe^rt
A S T C
C (cosine)
Find the domain of this function ƒ(x)=x-12 over x-2
all real numbers except 2
information that must be measured
continuous
type of sequence which gradually approaches a specific number
convergent
cosecant of θ is?
csc= 1/sinθ= hyp/opp
what are events that influence each others probability of occurring?
dependent
which probability distribution can be visualized by a histogram, discrete or continuous?
discrete
a sum whose terms form a geometric sequence
geometric series
determine if the graph will have vertical translation, horizontal translation, vertical translation, vertical stretch, or vertical compression: ƒ(x)= (x-1)²
horizontal translation
what is the common change of base? : log₃ 22
log 22 over log 3
condense each logarithmic expression into a single logarithm: 2 log x+ 3 log y
log²+y³
formula for combination
nCr
would the number of pencils be used in a geometric probability?
no, not used in a geometric probability
when a sampling distribution has a larger deviation then normal deviation is it a central limit theorem or not?
not central limit theorem
solve and make a number line: |x−4|<5
open dot on -1 and +9 then shade between
solve and make a number line: x²<4= x<±2
open dot on -2 shaded left open dot on +2 shaded on right
solve and make a number line: x+4, x+1, x-3
open dot on -4 shaded left open dot on -1 and +3 shade in between
There are 50 baseball cards, 20 football cards, and 55 card slots.
p=10x+8y
what is not a measure of center?
range
2 characteristics
relative, frequency table
x²-10x+16=0( using U substitution)
u²-10u+16=0 (u-2) (u-8)=0 u=x (x²)=2 (x²)=8 x=±√2 and x=±2√2
determine if the graph will have vertical translation, horizontal translation, vertical reflection, vertical stretch, or vertical compression: -x²
vertical reflection
determine if the graph will have vertical translation, horizontal translation, vertical translation, vertical stretch, or vertical compression: 5x²
vertical stretch
determine if the graph will have vertical translation, horizontal translation, vertical translation, vertical stretch, or vertical compression: ƒ(x)= x²+8
vertical translation
Eq 1↔Eq 2: 2x+3y-7z=5 (Eq 1) x+y-2z=11 (Eq 2) 4x-10y+15z=7 (Eq 3)
x+y-2z=11 (Eq 2) 2x+3y-7z=5 (Eq 1) 4x-10y+15z=7 (Eq 3)
Crammers rule: (x,y) give formula
x=|X| |A| y=|Y| |A|
inversely related y=3, x=4, find y when x=1
y=12
Rewrite the exponential equation 6²=36 as a logarithmic equation.
y=log∨b x 2=log₆ 36
is a brown item or eraser mutually exclusive or not?
yes, mutually exclusive
use the standard deviation of sampling distribution using: σx=2.3 sample size= 3
σx=2.3/√3= 1.33
use the standard deviation of sampling distribution using: σx=2.3 sample size= 5
σx=2.3/√5=1.0
