ALG 1/2
What is the equation of the graph obtained by shifting the graph of y=x2 horizontally to the left 4 units and vertically down 3 units?
(y = (x+4)2 - 3
In an isosceles triangle, the vertex angle is 36°. What is the measure of one of its base angles?
72°
Which equation represents the line that is the reflection of the line y=2x-3 on the x-axis?
y= -2x-3
Derivative of: x3 + 5x2 + x + 1
3x2 + 10x + 1
Let the function G be defined by g(x)=x^(3/4)-7. If g(k)=57, then k=
256
For the system of three equations: x-z=7, x+y=3, z-y=6, what is x?
8
Consider a cone with a height of 12 inches and a radius at its base of 3 inches. What is the volume of this cone?
36pi
f(x+4) shifts the graph 4 spaces to the…
left
Solve the limit: (4x6)/(4x8) as x approaches infinity
0
Three fair coins are tossed at the same time. What is the probability that all three coins will come up heads OR all will come up tails?
1/4. 1/8 (all heads) + 1/8 (all tails) = 1/4.
For how many integer values of b is b+3>0 and 1>2b-9?
7: -2, -1, 0, 1, 2, 3, or 4.
An angle measures 30 degrees, what is the measure of the angle's complement?
60*
Marta has just bought a new pair of tennis shoes. She wants to wear the new running shoes to run up and down a hill near her house. The measurements of the hill can be placed on a two-dimensional linear graph on which x = 5 and y = 165. If the line crosses the y-axis at 15, what is the slope of this hill?
30
∫sin(x)dx
-cos(x) + C
If the function K is defined by k(h)=(h+1)2, then k(x-2)=
x2-2x+1
If x-2 = 64, what is the value of x1/3 + x0?
3/2
A right triangle has a leg that is 4in long and the hypotenuse is 5in long. What is the area of the triangle?
6
Consider two stores in a town. The first store is a DVD rental store. The second is a pizza place where customers collect their pizzas after they order pizza online. The DVD rentals store is represented by the coordinates (-4, 2) and the online pizza place is represented by the coordinates (2,-4). If the DVD rental store and the online pizza place are connected by a line segment, what is the midpoint of this line?
(-1,-1)
∫(5x+7x)2 dx
f(x)= 48x3+C
What is the area of the circle whose radius is the average of the radii of two circles with areas of 16pi and 100pi?
49 pi
In the equations below, x represents the cost of one video game when renting video games online and y represents the cost of one movie ticket when purchasing discounted movie tickets online. If x - 2 > 5 and y = x - 2 Then the cost of 2 discounted movie tickets is greater than which one of the following A. x - 2 B. x - 5 C. y + 5 D. 5 E. 10?
E.10
What is the circumference of a circle in which a 5 by 12 rectangle is inscribed?
13pi
The graph of a quadratic function F intersects the x-axis at x=-2 and x=6. If f(8)=f(p), which could be the value of p?
-4
Find dy/dx for the following function: x2y3+y2+3x=y.
(-3-2xy3)/(3x2y2+2y-1)?
Fruit for a dessert costs $1.20 a pound. If 5 pounds of fruit are needed to make a dessert that serves 18 people, what is the cost of the fruit needed to make enough of the same dessert to serve 24 people?
$8