The answer is that it is positive
Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Answer:
θ = (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = , so
θ = ( ) = ( or 60° )
Probablity=desiredoutcomes/totalpossibleoutcomes
see which ones fit
dimes and quarters are over 9 cents
there are 11+3 or 14 of them
total outcomes=12+9+11+3=35
probablity=14/35=2/5
probablity is 2/5
Answer:
the third one (2,-18)
Step-by-step explanation: