Math Exam

Find the coordinates of the center and radius x^2+y^2-4x+4y-17=0

(2,-2)

Factor 2x^2+3x-9

(2x-3)(x+3)

The center of the following conic (x-3)²/36 - (y+2)²/81 =1

(3, -2)

Factor 4xy-3y-40x+30

(4x-3)(y-10)

Find the focus of the parabola x=1/32y^2

(8,0)

Write the equation of an ellipse with vertices (-7,0) and (7,0) and co vert. (0,-4) and (0,4)

(x-0)^2/49+(y-0)^2/16=1

Solve x^2/x+9=81/x+9

+9

Add (5+i)-(6-12i)

-1+13i

Add -2x-6/9x + x+6/9x

-1/9

for an infinite geometric series to converge

-1<r<1

Rationalize the denominator √3 -√6/ √3 +√6

-3+2 √2

solve for x -2-2x=2+2x/5

-5/3

Simplify 5/x+5/(1/x)-6

-5x/(6x+1)(x-5)

solve for x -5x^2-2=14x

-7±√39/5

i^51 is equivalent to

-i

The number of bacteria is present in a culture, b, after t minutes is given by the equation....

.4536

How many positive zeros does the following polunomial have

1 positive `

given geometric series an= -3 {1/2} what is common ration

1/2

find the 80th term in -1, 1, 2

157

Log₂8

3

-3,-3/2, 0, 3/2 what is the series

3/2

Simplify 6(4x+8y)+2(3x-6y)

30x+36y

Write in log from 3^3=27

3log27=3

Mutiply x²-4/x+2 *6x^2/2x-4

3x^2

Solve e^.05t=10

46.05

find hte 12th term of the following sequence -17, -13, -9

49

Solve for x -2x³+14x²-24x+20=0

5, 1+i, 1-i - (x-1)²=-1

does the series converge and what is the usm

6

the third term in the 5th row of pascal triangel is

6

Simplify {3x^2/4y}^-3

64y^3/27x^6

Add 5/x+4 +2/x-4

7x-12/(x+4)(x-4)

Simplify 10√162- √405-√200

80√2-9√5

find first term of series if sum of first 3 terms=12

a1=2

find 5th term of geometric sequence a1= r=3

a5=162

What is the domain of a polynomial function

all real numbers

The equa. x^5+2x^4+2x^3 has what kind of solutions

bipolar// -1(+-)i

common diff. for 4th term is 3 and 20th term is 35

d=2

Write in exponential form ln16=x

e^x=16

What conic section is represented x^2+4y^2=4

ellipse

Write the conic cestion is rep. by the equation x^2/25-y^2/9=1

hyperbole

Which expression is equiv. to 3log4+log6-log48

log8

what is n

n=# of terms

sum of arthimetic sequence with a1=60 d=4 an=120

n=16

given the resitrcted domain for the polynomial function what is the range of the function

range -86≤f(X)≤34

Find the roots of the polynomial equation x³-2x²+10x+136=0

roots = 3±5i, -4

find sum of 8, 33/4, 17/2, 35/4 ...50

s=4901

Multiply (x-5){x+2/x^2-25}

x+2/x+5

Simply x^2-2x-25/x^2-x-20

x+3/x+4

Divide x^2+9x+20/x^2-25 ÷x+4/x-4

x-4/x-5

Aolve 4^3x-1=1/256

x=-1

Solve 1/16=64^(3x+5)

x=-17/9

Solve |x-2|=27

x=-25 x=29

Wjat are the zeros for the polynomial

x=1 x=-2/5

solve for x 8x^2=12x-4

x=1/2 x=1

Solve x^2-12x=28

x=14 x=-2

Solve x+1/5x-2/4x=1/20

x=2

Solve 2x+5y=12 and x-3y=-2

x=26/11

Solve √2x-2 +12=14

x=3

Solve 2/x-5=x-6

x=4 x=7

Find x to the nearest 0.01 -- 1.95^x=26

x=4.9

Solve 2^x+1=8^x-2

x=7/2

Solve ln(2x-1)=2

x=e^2+1/2

Find the equation of the polynomial with roots 5, -4, 1

x³-2x²-19x+20=0

What is the equation of the parabola wiht vertex (0,0) and focus (5,0)

y=1/20(y-0)+0

Find the y intercept 7=2*4^x

y=2

what are the possible rational zeros for..

±1/5, 2/5,1,2