Without graphing, classify the system
{(y,=,5x,-,2),(y,=,x,+,4):}
Independent System
Simplify the expression.
8^(-2/3)
1/4
How much would you have in an account after 5 years if you deposited $3000 in an account that pays 4% annual interest compounded continuously?
$3664.21
Simplify
4/(3xy)-1/(3xy)
1/(xy)
Determine if the sequence is arithmetic or geometric, then find d or r.
2, 10, 50, 250, 1250, ...
Geometric. r=5
You roll a standard number cube. Find P(odd or less than 3)
2/3
Write 96 degrees in radians
(8pi)/15
Graph the inequality
y>=x+7
Solve
2sqrtx+5=10
x=25/4
Write the equation in logarithmic form.
3^4=81
log_3 81=4
Solve:
x/3=(5-x)/2
x=3
a_1=-3
a_n=a_(n-1)+3
Find P(No|Female)
24/53
What is the amplitude of the graph of
y=-4cos3theta
a=4
Solve the quadratic equation
x^2-8x=-6
4+-sqrt10
Simplify
3\sqrt5-7sqrt5
-4\sqrt5
Write the logarithmic expression as a single logarithm.
log_2 5+log_2 2
log_2 10
Find the horizontal asymptote of the graph of the rational function
y=(4x+1)/(x-1)
y=4
Find the arithmetic mean for the sequence ...15, ___, 35, ...
arithmetic mean = 25
A jar contains two blue marbles and five red marbles. Suppose you choose a marble at random and do not replace it. Find the probability that you select a blue marble and then a red marble.
P(blue and red) = 5/21 or 24%
What is the period of the graph of
y=-4cos3theta
(2pi)/3
What is
(x^3+7x^2-5x-6)-:(x+2)
x^2+5x-15, R24
Describe the transformation of the parent function for the function
y=sqrtx-3
down 3
evaluate
log_4 16
2
Simplify
(3/2(9x+18))/(8x+16)
27/26 or 1.6875
Evaluate the finite geometric series for n=6 terms.
1+3+9+...
364
Draw a box and whisker plot for this set of data: 36, 38, 42, 47, 51, 56, 62, 69, 70, 74
What is the radian measure of an angle between 0 and pi radians whos cosine is
sqrt2/2
pi/4
Solve the inequality
5|3w+2|-3>7
w>0 or w<-4/3
Simplify. Rationalize all denominators.
sqrt6/sqrt(3x)
sqrt(2x)/x
solve
log(3x-2)=1
x=4
solve
x/(x-2)+3/(x+3)=-14/(x^2+x-6)
x=-4 and x=-2
Write the arithmetic series in summation notation.
3+6+9+12+15+18+21
sum_(n=1)^7(3n)
A set of data has a normal distribution with a mean of 29 and a standard deviation of 4. Find the number of people, out of 150, what fall between 25 and 33.
102 people
Write a sine function for the graph:
y=3sin(2theta)