1. If the terminal side of a 330 degree angle intersects a unit circle, what
would the coordinates at the point of intersection?
The angle of -30 is coterminal with the angle of 330 in Quadrant 4. The xcoordinate is equal to the cosine of -30 and the y-co
1. Solve the system: 2x + y = 5
x y = 13
Using the elimination process:
2x+y= 5
x - y= 13
3x
3
= 18;
3
y is cancelled since y-y= 0
x= 6
*Check using one of the equations, substitute x with 6
6-y= 13
-y= 13-6 (Transpose 6 to the other side)
-y= 7
-1 -1
y=
1.What must be invested today, to be worth $20,000 in 10 years, if it is
compounded yearly at 8%?
Given:
A= $20 000
R= 0.08 or 8%
N= 1 (compounding the money once per year)
T= 10
P= ? (Unknown)
Formula: A= P. (1 + r/n) ^ n.t
= 20 000 P. (1 + 0.08/1) ^ 1.1
1.
If f(x) = 2x + 1 and g(x) = x2, what is f g? What is g f?
Given: f(x) = 2x + 1 , g(x) = x2
(f g) = f (g (x) ) ; Replace x with x2
2x +1 now becomes: 2(x2) + 1
(f g) = 2x2 + 1
(g f) = g (f (x) ) ; Replace x2 with 2x + 1
x2 now becomes (2x + 1) 2
Using
1) What are the least, and most, amount of distinct zeroes of a 7th
degree polynomial, given that at least one root is a complex number?
= If the equation is 7th degree then it has 7 roots.
Those roots can be complex or real.
Complex roots always come in
1. What is the equation of the line through (1,2) and (3, -1)?
= To get the equation of a line, we need:
a. a point
and
b. a slope
Given: (1,2) & (3, -1):
Find the slope:
m = Y2- Y1
X2- X1
m=
-1 - 2
3-1
m=
-3
2
Step 2: Using the point slope formula:
Using