Algebra
Solve for x
4x+2=10
x=2
30*5*45*10=?
67,500
A cube has an edge length of 9 inches. What is the volume, in cubic inches, of the cube?
729
Find the limit
lim e^x+4
x→-∞
4
Who is the Pythagorean theorem named after?
Pythagoras
What is the solution to this following system of equations? (x,y)
y=-5x+1
y=3x-3
(0.5,-1.5)
6000÷30÷5÷8=?
5
What is the positive solution to the given equation?
-4x^2-7x=-36
9/4 or 2.25
Find f’(x)
f(x)=7x^2+4x+2
f’(x)=14x+4
Who is widely recognized as the first computer programmer?
Ada Lovelace
Find the vertical asymptotes
y=(x^2-36)/(x^2-8x+15)
x=3, x=5
7*12÷4*23÷6=?
80.5
Maria is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional one time untaxed fee of $5.00 is charged by the hotel. Write an equation that represents Maria’s total charge, in dollars, for staying x nights?
1.08(99.95x) + 5
A function f is defined by f(x)=|x+ 4|. For what values of x is the graph of f not differentiable?
x=-4
What is Euler's first name? (The guy who introduced the number e used in natural logarithms)
Leonhard
Solve the equation for x
(should include a & b in answer)
ax/b-ax=2
x=2b/3a
2.5*6÷2*3.7=?
27.75
For groups of 28 or more people, an arcade charges $9 per person for the first 28 people and $15 for each additional person. How many total people were in attendance if the group paid $447 to go to the arcade?
41 people
Find f’(x)
f(x)=sin(x^2-3)
f’(x)=2xcos(x^2-3)
The FOIL (first, outside, inner, last) method is used to figure out the product of what kind of algebraic expression contains two terms connected by a plus or minus sign?
Binomial
F(x)=x^4-2x^3+kx-4, where k is an integer.
F(x) divided by (x-1) has a remainder of 0.
What is the value of k?
k=5
4+5÷3=?
5.6667
In triangle 𝐽𝐾𝐿, cos(𝐾)=24/51 and angle 𝐽 is a right angle. What is the value of cos(𝐿)?
15/17 or 0.8824
y=2 (horizontal line)
What is the first 3-digit number in the Fibonacci sequence and is also the largest square number to appear in the sequence?
144