Honors Algebra 2 final

(19x^-6 y^11)(-6xy^5)

-114y^16/x^5

(20x^20y^9/40x^7y^13)^4

x^53/16y^16

(2x^2 - 14x -14)+(2x^2 -7)

4x^2- 14x -21

(13x^2 + 6xy - 12y^2) - (9x^2-4xy)

4x^2 + 10xy -12y^2

4a^3 (3ab^3 -9a^2b^2 + 3a^3b)

12 a^4b^3 - 36 a^5 b^2 +12 a^6 b

3p^4/5q^5(r-5)^2 * 37q^2(r-5)/30p^3

37p/50q^3(r-5)^2

(5(a^2 + 5a +6)/3(a^2-36) ) / (41 (a+3)/6(a+6) )

10(a-2)/41(a-6)

8x^2-8/x/8(x^2+8)/26x^2-31x

(x+1)(x-1)(26x-31)/(x^2+8)

(2x^2-33x+16) / ( x-16)

quotient 2x+1 and remainder 0

find p(-4) and p(5) for the function p(x) = 5x^5 - 5x^4 -10 x^2 + 6x -1

-6585;12279

f(x) = 11x^3 -11x^2 +9

the relative max is at x=0, and the relative min is at x=.67

8a^4b^2 - 12a^3 b^2

4a^3 b^2 (2a-3)

30x^3 - 50x^2 +27x -45

(10x^2 + 9) (3x-5)

x^2 + 9x-10 =0

the equation has two real roots, 1 and -10

find all the zeros of the function f(x) = 13x^3 - 185x^2 + 608x -580

29/13, 2, 10

list all of the possible rational zeros of the following function: f(x)= x^6 - 8x^5 -21x^4 + 80x^3 + 20x^2 -17x +100

+_ 1, +_2, +_4, +_5, +_ 10, +_20, +_25, +_50, +_100

find (f+g)(x) for the following functions.
f(x) = 22x^2+4x +11
g(x) = 3x+8

22x^2 + 7x +19

find (f-g)(x) for the following functions
f(x) = -3x^3 + 12x^2 -7
g(x) = 11x^2 + 17

-3x^3 +1x^2 -24

find (f*g) (x) for the following functions
f(x) = x^2 -9x -11
g(x) = 11x -4

11x^3 -103x^2 - 85x +44

find (f/g)(x) for the following functions
f(x) = 12x^2 - 5x -8
g(x) = 7x -6

12x^2 - 5x -8/7x-6, x /= 7/6

find the inverse of
f(x)= 9/16x -13

f^-1(x) = 16x - 208/9

graph the given function. state the domain and function
y= -10 /_14-12x +5

the domain is _< 7/6 an the range is y _<5

simplify ^4/_ 81a^32 b^20

3a^8 b^5

use a calculator to approximate the value of ^4/_ (5394)^2 to three decimal places

73.444

write the given radical using rational exponents
^11/_ 10x ^8 y ^ 6

10 ^1/11 x^8/11 y^ 6/11

log ^^9 1/729

-3

log^^3 x=6

729

use log ^^3 4 = 0.7925 and log ^^4 4 =1 to approximate the value of the expression log ^^4 384

4.2925

find LCM
29a^3 c , 16b^4, b^2 c^2

464a^3 b^4 c^2

find midpoint
(11, -13) and ( -4, -11)

(7/2 , -12

find the distance
(-8, 17) and (-8, -8)

25

write equations for circle

(x+10)^2 + (y +6)^2 = 81

find the center and the radius of the circle

the center if the circle is (-11,14) and the radius is 11.

find the next term of the geometric sequence
8, 32, 128, 512

2048

a ditch contains 10 centimeters of water. The total amount of rainwater in the ditch is as follows: 10 centimeters of water after 1 second, 15 centimeters after 2 seconds, 20 centimeters after 3 seconds, and so on. Assuming that the ditch has sufficient c

55cm

a scientist rolls two balls A and B down two different ramps. Ball A rolls 4 meters in the 1st second, 9 meters in the 2nd second, 14 meters in the 3rd second, and so on. Ball B rolls 3.5 meters in the 1st second, 6.5 meters in the 2nd second, 9.5 meters

A: 49m
B: 30.5m

Two cars, A and B, 100 miles apart, move toward each other. Car A covers 0.7 mile in the first minute, and the moves with an average speed of 0.8 miles per minute. Car B covers 0.6 mile in the first minute, and then moves with an average speed of 0.7 mile

85.2 mi.

After a gas-filled balloon is released, it rises to 90 feet in the first minute. In the second minute, the balloon rises to 120 feet, and in the third minute, it rises to 150 feet. How many feet would the balloon rise in 8 minutes?

300ft

Two objects in outer space drift apart at an average rate of 25 kilometers every year. If the objects continue to drift apart from each other at the same rate, how many kilometers will they drift in 10 years?

250 km

find the arithmetic sequence
-3, ?, ?, ? 93

21, 45, 69

find S sub n for the given arithmetic series
a^^1=-100, d= -2, n= 21

-2520

400
E(18n+9)
1=10

1,446,309

Last year, 150 cases were reported of a new infectious disease. It has been predicted that the number will double each year. How many cases will be reported in the ninth grade

38,400

determine what kind of situation this equation is
you want to find out if prolonged exposure to the sun as a child affects skin cancer rates in a adults

observational study

Determine the survey question
lexis wants to determine the senior class's favorite wireless provider

who is your favorite wireless provider?

145, 155, 155.5, 158, 160.6, 165, 170, 175, 175, 175.9, 180
find the mean, median and mode

165.0, 165.0, and 175.0

4.2, 4.5, 4.8, 5.0, 5.5, 6.5, 6.5, 6.5, 6.5, 7.0, 7.4, 8.0, 8.6
find the mean, median, and mode

6.2, 6.5, 6.5

find the variance and the standard deviation of the given set
{490, 130, 240, 400, 170, 630, 730}

variance= 45,898, standard deviation= 214.2

find the probability that a marathon runner is female give that she is an adult.
male female
teen 29 15
adult 90 113

56%

there are 24 children in a class, 16 brown-haired and 8 black-haired. Two students are randomly selected for a stage performance. Find the probability of the following selection
p(2 black-haired)

7/69

Laura has moved to a new apartment. Her schoolbooks comprise of different subjects are mixed in a bag during the move. Four books are of mathematics, three are english, and six are science. If Laura opens that bad and selects books at random, find the giv

1/286

Laura has moved to a new apartment. Her schoolbooks comprise of different subjects are mixed in a bag during the move. Four books are of mathematics, three are english, and six are science. If Laura opens that bad and selects books at random, find the giv

45/286

determine whether the data appears to be positively skewed, negatively skewed, or normally skewed
the table below shows the score of the jaguar basketball team for the last ten games
game score
1 46
2 54
3 60
4 55
5 68
6 75
7 78
8 67
9 59
10 55

normally skewed