Algebra
x+2=-7, Solve for x
X=-9
What would be the hypotenuse of a right triangle with sides given 5 and 12?
13
What is the equivalent of 493/2?
343
(1/2)0
1
Limit x→∞ of 2x2/x2
2
2x2-6x+8, Solve for the zeros
x=4, x=-1
What is the point that divides, or bisects, a segment into two congruent segments
Midpoint
What is the simplified expression of √ (36x8 / 4x6)
3x
If f(x) = x3 + 4x and g(x) = 3x, what is the composite function g(f(x))?
3x3 + 12x
Evaluate limit x→-5 x2-25/x2+2x-15
5/4
Solve the inequality: -3x + 4 < -8
x>4
What are the coordinates of the center and length of the radius of the circle whose equation is x2 + y2 + 2x - 16y + 49 = 0?
center (-1,8) and radius 4
What expression is equivalent to (4i)3?
-64i
Given that f(x) = x3 - x2 + 2x + 4 and g(x) = 5x + 7, what is f(x) × g(x)?
5x4 + 2x3 + 3x2 + 34x + 28
Evaluate: ∫ (from 0 to 3) of x√(9-x2)dx
9
When using the method of completing the square, which equation is equivalent to x2 - 12x - 10 = 0?
(x-6)2 = 46
The equation of line t is 3x - y = 6. Line m is the image of line t after a dilation with a scale factor of 1/2 centered at the origin. What is an equation of line m?
y = 3x - 3
What are the solutions of x and y to this system of equations?
3x-y+5=0
2x+3y-4=0
x = -1
y = 2
Air is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm.
1/80pi cm/min
∫e2x/ (e2x + 6)1/2 dx
(e2x +6)½ +C
During summer vacation, Ben decides to sell hot dogs and pretzels on a food cart in Manhattan. It costs Ben $0.50 for each hot dog and $0.40 for each pretzel. He has only $100 to spend each day on hot dogs and pretzels. He wants to sell at least 200 items each day. If h is the number of hot dogs and p is the number of pretzels, which inequality would be part of a system of inequalities used to determine the total number of hot dogs and pretzels Ben can sell?
h + p ≥ 200
The area of Triangle TAP is 36 cm2. A second triangle, JOE, is formed by connecting the midpoints of each side of Triangle TAP. What is the area of Triangle JOE, in square centimeters?
9
The expression (a(∛(2b2)) (∛(4a2*b)) is equivalent to?
2ab∛(a2)
Determine the least positive value of ϴ in degrees such that sin2ϴ + cos2ϴ + tan2ϴ = 4/3
ϴ = 30o
Given the differential equation (x2+4)dy/dx=xy, find the particular solution determined by the initial condition y=2 when x=-3
y=2/√13 |x2+4|1/2