Algebra 2 final exam study guide

simplify (10-x^2-3x)/(x^2+2x-8)

(-x-5)/(x+4) undefined at x=2 and x=-4

factor (2x-1)^3-27 as a difference of two cubes

(2x-4)(4x^2+2x+7)

f(x)=2x^2+8x-4 g(x)=-5x+6 find (f-g(x)

(f-g(x)=2x^2+13x-10

write the arithmetic series in summation notation

(k=1) 7 9-4k)

complete the square for the expression x^2 - 16x + _____

(x-80)^2

simplify (-5/x-4)+(x-6/10)/(x+3/x-4)

(x^2-10x-26)/10(x+3)

find the geometric mean of -1/48 and -1/75

+-1/60

evaluate log1/16 using mental math

-2

what is the z-value for the automobile insurance company

-2.15

solve the inequality -8x^2-14x+4>-11

-2.5<x<0.75

find the first 5 terms of the sequence an=2^n-5

-3,-1,3,11,27

for h(x) 2x^2+6x-9 and k(x)=3x^2 find h(x)-2k(x)

-4x^2+22x-25

let g(x) be a vertical shift for f(x)=-x up 4 units followed by a vertical stretch by a factor of 3, write the rules for g(x)

-x+4

what is the probability that the player 3 rolls at least 3 sixes?

.5973

between 64 and 74.5 inches tall

.77

if you know a girl that plays soccer what is the probability that she also plays basketball

0.23

students are gettin some TEA what is the probability that these basic hoes two of them get the same flavor

0.4271

find the missing 18 - - - 42

24,30,36

a3=16 and a5=64 find the 7th term of it

256

use synthetic substitution to evaluate the polynomial P(x)=x^3-4x^2+4x-5 for x+4

P(4)=11

write the simplest polynomial function with zeros 5,-4,and 1/2

P(x)=x^3-3/2x^2-39/2x+10

the function g is a translation 3 units up and 2 units up f(x)=√x+9 write the function for g(x)

g(x)=√x+12 +2

which expression is equal to log50

ln50/ln10

write the exponential equation 2^3=8 in log form

log2 8=3

find the mean, median mode of the data set

mean:32.2 mode:23 median:30

determine by composition whether f(x)=1/5x+4 and g(x)=5x-20 are inverses

yes x,f and g are inverses

find the absolute value of [-7-9i]

√130

what is the land distance between airplane and airport; 10 deg, 10,000 ft

56,713 ft

find the product of (5x-3)(x^3-5x+2)

5x^4-3x^3-25x^2-6

expand the series and evaluate (-1)^k(7k-k^2)

6

a1=6 2a n-1

6,11,21,41,81

solve the equation sinO=0.3

O=162.5

find the probability of rolling a 5 or an odd number on a number cube

1/2

an experiment consists of a number cube. what is the probability of rolling a number greater than 4?

1/3

√6x-2<=3

1/3<=x<=11/6

write the expression 11√10^8 by using rational exponents

10^8/11

find the sum for the arithmetic series E 15k-4

1313

about what speed was the driver driving at the time of the skid?

14 mi/h

triagble floor w 150,200, and 280 feet, what is the area of the building

14,464 ft

convert 15,5n/3 to rectangular coordinates

15/2; 15√3/2

how many musicians were in the last row?

19 musicians

find all the real fourth roots of 16

2 and -2

what is the expected value of rolling a 6 sided number cube

2.83

simplify (2z^3-6z^2)/(z^2-3z)

2z; not equal to 3 or 0

express log3 6 + log3 4.5 as a single log

3

simplify the log4 64

3

the volume V of a cylinder varies jointly with the height h and the radius squared h^2 and h=157cm^3 when h=2cm and r^2=25cm^2 find V when h=3 cm and r^2=36cm^2 round your answer to the nearest hundredth

339.12cm^3

a 35 foot telephone pole casts a 46 foot shadow what is the angle of elevation of the sun from the end of the shadow

37 degrees

find the reference angle for O=142

38 degrees

factor the expression 81x^6+24x^3+y^3

3x^3(3x+2y)(9x^2-6xy+4y^2)

find the complex conjugate of 3i+4

4-3i

the distance d in meters traveled by a skateboard on a ramp is related to the time traveled in t seconds. this is modeled by the function d(t)=4.9t^2 - 2.3t + 5. What is the maximum distance the skateboard can travel, and at what time would it achieve this distanc?

4.73 meters at .23 seconds

what is the hight of the building to the nearest foot

41 ft

Let g(x) be the transformation, vertical translation 3 units down, of f(x)=-4x+8, write rules for g(x).

4x + 5

simplify the expression 4√256z^16

4z^4

what expression is equivalent to (3-2i)^2?

5-12i

divide by using long division (5x+6x^3-8)+(x-2)

6x^2+12x+29+(50/x-2)

multiply (8x^4 y^2)/(3z^3)x (9xy^2 z^6)/(4y^4)

6x^5z^3

identify the degree of the mononomial -5r^3s^5

8

what is the probability of a person not being born on a Monday?

85.7%

identify the leading coefficient, degree, and end behavior of the function P(x)=-5x^4-6x^2+6

LC:-5 degree:4

rewrite the polynomial 12x+6-7x^5+3x^3+7x^4-5x in standard form then identify the leading coefficient, degree, and number of terms. name the polynomial.

LC:-7 Degree:5 Number of terms:6 Name: Quintic polynomial

what is the null hypothesis for the oil company experiment

adding the chemical does not affect gasoline milage

write the possible explicit rule for the nth term of the sequence

an=26-2.9n

determine whether the sequence is geometric or arithmetic. find common ratio or difference

arithmetic with d=28

find the end behavior P(x)=-8^x

as x -->-∞ P(x)---->0 as x--->+∞ P(x)--->-∞

-1,7,15,23,31 find the common difference

common difference:8; ,39,47,55

is the TV STAATION BIASED

could be biased; some people who watch the show do not subscribe

evaluate for the piecewise function 11,-14,1

f(-1)=11 f(9)=1

the price of dance lessons

f(x) = 44x+5 33x+5 27.5x+5

use inverse operations to write the inverse of f(x)=(x/4) -5

f^-1(x)=4(x+5)

f(x)=x^3 g(x)=4x+3 find g(f(3)

g(f(3))=111

determine whether the data set could represent a function. explain

the 2nd difference between y-values for equally spaced x-values, so it could represent a quadratic function

find the number and type of solutions for x^2-14x+4>-11

the equation has 2 solutions

what is the probability of this bitch randa rolling 5's or doubles in her next turn

the events are mutually exclusive because the sum of a double can never equal 5. 5/18

solve the polynomial equation 3x^5+6x^4-72x^3=0 by factoring

the roots are 0,-6 and 4

is the candlelit dinner service biased

the sample could be biased, does not include shoppers who shop on days other than monday

solve x^4-3x^3-x^2-27x-90=0 by finding all the roots

the solutions are 5,-2,3i, and -3i

6x/x-3 = 4x+6/x-3

there is no solution

solve (x^2+x+30)/(x-5)

there is no solution because the original equation is undefined at x=5

in dat game showww what should this bitch linda do

use her ask the expert on the history question and simplify it on the math question to get $3925

the area of a recatangle is equal to x^2+10x+6 square units. if the area of a rectangle is equal to x+8, what expression represents its width?

x+2

add (x+9)/(x-2)+(-8x-39)/x^2+x-6

x+3/x+6

identify the roots of -3x^3-21x^2+72x+540=0 state the multiplicity of each root

x-5 is a factor once, and x+6 is a factor twice

2x^2-48/x^2-16 - x+6/x+4

x-6/x-4 undefined at x=4 and x=-4

divide using synthetic division (x^2-9x+10)/(x-2)

x-7+(-4/x-2)

5/x+3<6

x<-3 or x>-13/6

solve the equation 2x^2 + 18 = 0

x=+-3i

2x/x^2-7x-18=6x/x^2+x-2

x=0 or x=13

solve 8^x+8=32^x

x=12

use trig function to find the value of x; 45 deg 50 side triangle

x=25√2

find the roots of the equation 30x - 45= 5x^2 by factoring

x=3

solve x-9=18/-x

x=3 or x=6

log5 x^10-log5 x^6=21

x=5^(21/4)

solve √11x=3√x+2

x=9

write an expression that represents the width of the rectangle with a length 8+5 and area x^3+12x^2+47x+60

x^2+7x+12

write a quadratic function that fits the points (0,6)(2,4)and (3,6)

x^2-3x+6

the daily profit of a bicycle store can be modeled by f(x)=x^3-5x^2+2x+2 where x is the number of bicycles sold. let g(x)=f(x+4). find the rule for g, and explain the meaning of the transformation in terms of daily profit

x^3+7x^2+10x-6 the shop makes the same profit after selling 4 fewer bicycles