Algebra 2 Study Guide

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Factor 8a^3 +c^3

(2a+c)(4a^2 -2ac +c^2)

Factor 4x^4 - 9y^2

(2x^2+3y)(2x^2-3y)

one integer times twice the other equals 612

-18 and 17

find the vertex of y= x^2 +6x +5

-3,-4

there are two numbers with the following properties. the second is 3 times more than the 1st. the product is 9 more than the sum.

-4, -1

the expression 4ab*root2b - 3a*root18b^3 +7ab*root6b

-5abroot2b + 7abroot6b

what is the prob that the first ruler will have labels and the second will not have labels

1/4

what is g(f(2))

10

(-3-2i)-(-5+i)

10+11i

exact value of csc 60

2 * root 3 / root 3

what is g of f of 4

3

alberto wants to create several different screen names using the first w letters of his name and arrangements of 1984. how many can me make?

3 * 2 * 1 * 4 * 3 * 2 * 1 = 144

Factor 12x^2 -147

3(2x+7)(2x-7)

when tan = 1

45 and 225 degrees

what is the prob that it is yellow given it is large

5/12

what are the values of x that satisfy tanx - root3 =0

60 240

what is the solution for 2 cos -1 = 0 in the interval 0 to 360

60 and 300 degrees

if log based 4 of x = and log based y of = 3/2. find the numerical value of x/y

800

which point shows 5 - 2i

D

log base 6 of 40 equals

log based 10 of 40 / log based 10 of 6

is terminal side passes through (-3,2) find the exact value of csc

root 13 / 2

which is the first incorrect step in simplifying log based 4 4/64

step 2

in which step did he make his first error (big log problem)

step 4

describe the translation of the graphs to one another

up 4 to the right 5

which of the following is true about x^2 = the square root of x

when x is 0

evaluate f (g(x)) when f(x) = x^2-1 and g(x) = x+3

x^2 +6x+8

which equation is graphed below

y=-3cos(pi/15x)+5

write the equation that represents the number of bacteria present at any time

y=100*2^t

in 1997 the population of a small town was 700. if the annual rate of increase is 8 percent, write and expression that shows the population in 5 years.

y=700(1.08)^5

given the equation y +x^n where x > 0 and n < 0, what statement is valid for y

y>0


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