Factor completely:
X2 - 64
(x+8)(x-8)
What is the term given to a polygon with exactly 10 sides?
Decagon
For the following equation, find f'(x)
f(x) = -6x4
-24x3
What is the value of log2256?
8
What is the shortest distance from
21x + 20y = 12 to (-1.3) ?
27 / 29
Find the length of a diagonal in a square with perimeter 28.
7 square root 2
For the function f(x) = x2-1, find the slope of the tangent line at x = -10
-20
If a and b are the roots of x2 + 4x + 3 = 0, find the value of (a+5)(b+5).
8
Determine the sum of the coefficients of the expansion:
(-8x-5y+12z)3
-1
A right triangle has legs of length 5 and a. If the hypotenuse has length b, what is the value of b2 - a2?
25
Find the derivative of the following function:
y = ln(-3x5)
5/x
Solve the following system of equations:
2x + y = 20
x - 3y = 3
(9,2)
Find the number of zeros at the end of 43!
9
How many distinct squares exist where the perimeter is numerically equal to the area?
Given the function y=(5x3+4)(2x+8x3−6), find dx/dy in any form.
(15x2)(2x+8x3−6) + (2+24x2)(5x3+4)
Find the maximum value of this function:
f(x) = 288+28x-x2.
484
Divide -4x3 + 6x2 + 8x - 10 / x-1
-4x2+2x+10
A quadrilateral has degree measures of its interior angles in the ratio of 1:3:6:8. What is the degree measure of the smallest exterior angle?
20 degrees
Given the function y = 3x3-5 / x+1 , find dx/dy in simplified form.
6x3 + 9x2 + 5 / (x+1)2
a/9