Inequalities
If we multiply a negative number on both sides of a linear inequality, then _____.
the inequality sign is flipped
Find the final position. Knowing:
<2, 1>
(5, 9)
(7, 10)
State if the given functions are inverses.
g(x) = − 10x + 5
f(x) = (x − 5)/10
No
Which quadrant does this coordinate located in?
(-,+)
2nd Quadrant
What is opposite over hypotenuse?
Sine
x/5 > 3
x > 15
Find the sum of the vectors {u}=⟨2,-1⟩and {v}=⟨3,5⟩
⟨5, 4⟩
Find the inverse of the function.
f(x) =(x − 2)^5 + 3
f^−1 (x) = (x − 3)^1/5 + 2
Convert the radian into degrees.
3pi/4
135 degrees
sin2(x) + cos2(x) = ?
1
Is the ordered pair a solution to the given inequality?
y > 3−|x|; (−4,−3)
No
At what point do A(x) and F(x) intersect?
A(2) = (-24, -52)
F(2) = (-18 + a, 30 + b)
(-6, -82)
Find the inverse of the function.
f(x) = (12 − 3x)/4
f^−1 (x)= (− 4x + 12)/3
Convert the degree into radians.
180 degrees
pi
What is cos(x)?
sin(x) = 1/4
cos(x) = +/- sqrt(15/4)
7(3x + 2) − 5(2x − 3) > 7
x > -2
Consider the vector whose initial point is P(2,3) P(2,3)
and the terminal point is Q(6,4). Q(6,4).
Find the vector.
⟨4,1⟩
Find the function of the inverse.
f^−1 (x) = (− 3 + 3x)/x
f(x) = − 3/(x − 3)
x^2+y^2=1
y = -7/25
x = ?
x = +/- (24/25)
cos2(x)/(1 - sin(x)) = ?
Reduce all the way.
1 + sin(x)
4(x + 2) - 1 > 5 - 7(4 - x)
x < 10
Find polar form (||v||v^) of <2, 7>
sqrt(53)<2/sqrt(53), 7/sqrt(53)>
Find the function of the inverse.
g −1 (x)= − 2x^5 +2
g(x)= [(− x + 2)/2]^1/5
Amy runs on a track that is a perfect circle. In the middle of a race, Tiffany surpasses Amy by 2/7 of the track when Amy has run 3/8 of the track. How much of the track has yet to be run on?
19/56ths of the track
30 degrees
hypotenuse = 50
What is the adjacent?
50[sqrt(3)/2]