Math
Solve the system of equations
6x+3y =9
x-7y=9
x=2
y=-1
Write log 5=0.7 in exponential form.
100.7=5
A data set is normally distributed with mean 18 and standard deviation 2.7. Approximately what percent of the data are greater than 14?
93.1%
A stone is tossed from the top of a cliff. The function h(t) = -16t2 -48t + 160 gives the height, in feet, of the stone t seconds after it is tossed. How long will it be before the stone hits the ground?
2 seconds
Simplify (2 - 3i)(1 + 5i) - 3(-2 + i)
23 + 4i
What is the equation in vertex form y=a(x-h)2+k of a parabola with vertex (-2,6) that passes through (1,-3)?
y=-(x+2)2+6
Solve 3x+4=9x-1
x=6
The mean on a statewide biology test was 76. One county within the state sampled the scores of some of its students and reported a mean of 80 with a standard deviation of 11 and a margin of error of ±2.3. What is the range for the true mean for the county's sample?
77.7 to 82.3
f(x)=x3-x2-2x is decreasing on the interval _______. Round to the nearest hundredth.
(-0.5,1.2)
Simplify (24x3-16x2) - (6x3+18x2-14)
18x3 - 34x2 +14
(3+5y)(9-15y+25y2)
A deck of 36 cards consists of 12 red cards, 12 white cards, and 12 blue cards.
Of the red cards, 2 are blank and the rest have a number on them.
Of the white cards, 4 are blank and the rest have a number on them.
Of the blue cards, 6 are blank and the rest have a number on them.
The deck of 36 cards is shuffled and one card is selected at random. If the selected card is either white or red, what is the probability, as a percent, that it is blank?
25%
Libby eats oatmeal, pancakes, or eggs, and she drinks apple juice or orange juice. If she picks a food and a drink at random, what is the probability that she will have oatmeal and apple juice?
1/6
For the function f(x) = 0.25 (6)x identify the y-intercept and the asymptote. Write answers as decimals when necessary.
y-intercept: (0, 0.25)
asymptote: y= 0
Divide 6x3-10x2+20 by x+1
6x2-16x+16 + 4/(x+1)
Given the sequence 1,4,7,10, ... what is the 8th term?
21
There are 12 marbles in a bag. Of these, Four of them are blue and the rest are green. You reach into the bag and take out two marbles without looking. What is the probability that both marbles are blue? Round to the nearest whole percent.
9%
Solve x2+4x+43=0 using the quadratic formula.
x = 2 + i * sqrt(39)
x = 2 - i * sqrt(39)
What is the value of the 8th term of the sequence 2,6,18,54,...?
4374
Find the zeros of f(x)=x3-8x2+9x+18.
-1,3, and 6
There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Write an exponential growth function that represents the number of deer, y, in the forest after x years.
y=50(1.15)x
A student watches the patrons in a supermarket, and counts how many pay for their groceries with cash and how many use a debit or credit card. What type of study is described?
Observational Study
Solve the equation 4x2-4x=24
x=-2
x=3
Over what interval is the graph of y = |x + 6| decreasing?
( negative infinity, -6)
The graph of y=x2 is translated down 6 units and left 4 units. Write the equation that represents the translated graph?
y=(x+4)2-6