Trig (Sum/Dif/Laws)
cos45 cos15 + sin45 sin 15
√ 3/2
Write the equation of the line parallel to the line 2x+3y=12 that passes through the point (4,-3).
2x+3y+1=0
Simplify the following monomial divided by a monomial: 3x5y6/6x8y3
y3/2x3
Find the average rate of change over the stated interval. Given y=x^2+3
1 ≤x ≤3
4
Simplify the following:
(5x5)(-3x2)
-15x7
Sin105
(√6 + √2) / 4
Write the quadratic equation given the roots 7 and -4.
f(x)=x^2-3x-28
Simplify the following monomial divided by a monomial: 20x10y8/4x2
5x8y8
Find the average rate of change over the stated interval. Given h(t) = 39.2t-4.9t^2
2 ≤x ≤4
9.8
Simplify the following:
3x5/(2x)4
3x/16
A local airline does not offer direct connection from city A to city B. Rather, the flight travels 40 miles from city A to City C, the 70 miles from city C to city B. If m<ACB = 110, find the distance between city A and city B to the nearest mile.
92miles
What is the equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+7=7?
x-4y+24=0
Simplify the following monomial divided by a monomial: 7x3y/21x5y8
1/3x2y7
Find an expression for the derivative of the function which is given: f(x)=3x^2-10x+3
6x-10
Solve the following exponential equation:
42x+3=1
x=-3/2
5√2
Solve by using the quadratic formula and put solutions in a a+bi form. 5x^2-2x=-1
x=1/5±2/5i
Simplify the following rational expression:
x2+5x-14/x2-4
x+7/x+2
Find an expression for the derivative of the function which is given: f(x) = -10/x
10/x^2
Calculate the following log without a calculator:
log264
In Triangle ABC, a=12, c=8, m<B=60. Find the exact area of Triangle ABC.
48√ 3
Solve the given equation by completing the square method. x^2-8x=9
x=-1,9
Simplify the following rational expression
4x2-1/10x-5
2x+1/5
Identify the critical points of each polynomial function f. Determine whether each critical points is a relative maximum or minimum. f(x)=2x^3-3x^2-12x
Max : (1,-13)
Min : (2,-20)
Solve the following log equation:
log(4x-2)=log(-5x+5)
7/9