ALGEBRA
Function g is defined by g(x)=3(x+8). What is the value of g(12)?
What is 60
A chocolate bar costs c dollars and a drink costs d dollara. Write down an expression for the cost of 2 chocolate bars and 2 drinks.
2c + 2d
List all possible rational zeros
4x5+12x4+-x-3
plus and minus (1, 3, 1/2, 1/4, 3/2, 3/4)
(lowest points) There are ten playing cards, four of them are black and six
of them are red. Julian picks a card at random. What is the probability that
he picks a red card?
6/10 or 3/5
Find this equation's derivative: 4x^3 + 7x^2 + 2x + 3
What is the derivative of 12x^2 + 14x + x
If f(x)= x2+3x+1, what is f(x+2)?
x2+7x+11
(14m2-28m8+7m)/ 7m
2m-4m7+1
Find the foci 25x2+16y2=400
(0,3) (0,-3)
Find the probability of rolling doubles on two six-sided dice numbered 1-6.
6/36 or 1/6
A function that models the slope of the curve for all x-values for which it exists. This is the definition of what?
What is the definition of a derivative?
Find x+y, if 5x+8y-67 and 2x-y=31
14
Let x be a number. Increasing x by twenty percent yields that same result as decreasing the product of four and x by five. What is x?
25/14
x2-x> 20
(-inf, -4) union (5, inf)
What is the probability of picking an ace of spades then subsequently a queen of clovers?
1/2652
Find any points where the graph fails to be differentiable and explain why 3√(5x+7)
What is y is not differentiable at x=-7/5 due to a vertical tangent
Solve m2=20-4m
m= -2 plus minus 2 sqrt 6
If, 2x2(5-x)(3x+2)=0
then what is the sum of all the possible values of x?
13/3
f(x)= (x+3)/(x2+9)
all real numbers
Say you're on a game show where there are three doors. Behind two of the doors, there are goats. Behind one of the doors, there is a brand new car.
The host says that once you pick a door, he'll open one of the doors you
didn't pick to reveal a goat. Then, you have the option of either staying withyour door or switching to the last unopened door.
Do you switch or stay?
Switch
a. Explanation: When you first made the selection, you had a one in three chance of correctly selecting the door that had a car behind it. Switching raised that probability to two in three that you'll select a car.
Integrate ∫(-1)^(3) ((2x+1)^2)dx.
What is 57 1/3?
Evaluate (3a+2b)/2
when a=-3, b=-4
-17/2
Solve
Online concert tickets cost $37 each, plus a service charge of $8.50 per ticket. The Web site also charges a transaction fee of $14.99 for the purchase. You paid $242.49. How many tickets did you buy?
You bought 5 tickets.
divide
x3-7x-6 by x+2
x2-2x-3
You are sentenced to death, but you have a chance to live if
you beat the king in the following game: You’re given 50 red marbles, 50
blue marbles, and 2 empty bowls. Your goal is to divide the 100 marbles
into the 2 bowls in any way you like if you use all the marbles.
Then, one random bowl will be selected, and then one random marble will
be chosen from the selected bowl. Blue marble = life, red marble = death.
How should you divide the marbles up so that you have the greatest
probability of choosing a BLUE marble?
74.75
Find dy/dx and d^2y/dx^2 of the following equation y=3x^4-4x^(3/2)
What is 12x^3-6x^(1/2) and 48x^2-3x^(-1/2)