Answer:
B. The graph falls on the left side
Step-by-step explanation:
We are given,
The expression for the function is
.
So, we get that,
As
, the function
.
That is, as the values of 'x' decrease, then the graph of the function also decreases.
<h3>Thus, the graph of the function falls on the left side.</h3>
So, option B is correct.
Answer:
5 2/5
Step-by-step explanation:
7/5 is equal to 1 2/5
add 4 and 1 2/5 to get 5 2/5
Answer:
3732.04
Step-by-step explanation:
717.7% of 520 = 7.177 × 520 = 3732.04
Expand the target expression:
A sin(x + ϕ) = A (sin(x) cos(ϕ) + cos(x) sin(ϕ)) = -2 sin(x) + 4 cos(x)
Then we have
A cos(ϕ) = -2
A sin(ϕ) = 4
Recall that sin²(x) + cos²(x) = 1 for all x. Then
(A cos(ϕ))² + (A sin(ϕ))² = (-2)² + 4²
A² (cos²(ϕ) + sin²(ϕ)) = 4 + 16
A² = 20
A = √20 = 2√5
Also recall that tan(x) = sin(x)/cos(x) by definition. Then
(A sin(ϕ)) / (A cos(ϕ)) = 4 / (-2)
tan(ϕ) = -2
ϕ = arctan(-2) = -arctan(2)
Answer: D
Step-by-step explanation:
D is the only one that states the correct slope