college algebra test 1
(-6+ sq.root(-18))/9
-(2/3) + (sq.root.(2))/3 i
(1/2)-(2/3)i, what is the imaginary part
-2/3
sq.root(-15) x sq.root (-3)
-3 sq.root(5)
|x|<c is equivalent to
-c<x<c
i^23
-i
if discriminite is (0)
1 solution - real
(8+2i)/(3+5i)=
1-i
How much 4% acid solution should be mixed with 200 mL of a 12% acid solution to make a 9% acid solution?
120 mL 4% acid solution
E10 is a mixture of 10% ethanol and 90% gasoline. How much E5 should be mixed with 5000 gallons of E 10% to make an E9 mixture?
1250 gallons
if discriminite is (-)
2 solutions - nonreal
if discriminite is (+)
2 solutions - real
how much 10% solution needs to be added to 40cc of 50% solution to make a 35% solution?
24cc
S=n/2(a+d), solve for d
2S/n - a = d
sq.root(-12)
2i sq.root(3)
3+4i, what is the real part
3
3- sq.root(-100), write in standard form
3-10i
use quadratic formula to solve, 5x^2-6x+3
3/5 +- sq.root(6)/5 i
(-2-4i)+(5+2i)-(3-6i)=
4i
sq.root(-50) / sq.root(-2)
5
solve for z, (3z-18)^2 +58=40
6+i sq.root(2)
(6+2i)/(3-i)
8/5 + 6/5 i
what is the quadratic formula?
X=-b±√b²−4ac/(over)2a
3|5-x|+2<_ 14
[1,9]
(a+bi)(a-bi)
a^2+b^2
linear equations in one variable
ax+b=0
A=1/2h(B+b) , solve for b
b= (2A)/h - B or (2A-Bh)/h
what is the discriminite
b^2-4ac
whats the process to make a polynomial a perfect square?
divide (b) by 2, and square the result
i^-19
i
if 0=0, it means it is an identity and
it pertains to all real numbers
5/(m-2) = 3m/(m^2+2m-8) - 2/m+4
m=-4 / {} / restricted number
(m-4)/2 - (3m+4)/10 > -3/5m
m>3 set builder notation: {m|m>3} interval notation: (3, infinity)
x^2+2/9x+n, value of n for a perfect square, and the factors
n=1/81 factors= (x+1/9)^2
is this linear in one variable 3/x-9=0
no
is this linear in one variable, 2x+4y=5
no
is this linear in one variable, 6x^2+1=0
no
a total amount of $7000 was added into a stock fund and a CD. stock fund had an interest at 5% for 2 years and CD had an interest of 4.5% for 2 years. how much was added into each account.
stock fund= $500 CD=$6500
Kent invested a total of $8000. He invested part of the money for 2 yr in a stock fund that earned the equivalent of 6.5% simple interest. He put the remaining money in an 18-month certificate of deposit (CD) that earned 2.5% simple interest. If the total interest from both investments was $855, determine the amount invested in each account.
stock fund= $6000 CD=$2000
solve .36w<_.54 and -1/2w>3, take intersection
w<_ 3/2 and w<-6 Intersection: {w|w<-6} (-infinty, -6}
when do you flip the signs (>,<)
when you divide by -number
2 (x-4)^(3/4), solve for x
x = 85
(y+5)/2 - (y-2)/4 = (y+7)/3 + 1
y=-4
is this linear in one variable, x/3-9=0
yes
solve using square root, x^2=64
{+-8}
5|2-4t| =50
{-2,3}
(w+3)^2=8
{-3+_2 sq.root(2)
absolute value of 3 =
{-3,3}
n^2+5n=24
{-8,3}
|3x-4|=|2x+1|
{5,3/5}
|x|>c is equivalent to
{x|x>3 or x<-3} (-infinity, -3) U (3, infinity)
y<-4 or y>_ 2 , write set builder notaion and interval notation
{y|y<-4 or y >_ 2} (-infinity, -4) U (2, infinity)
absolute value of -7 =
{}
