Answer:
<em>y = - </em><em> cos ( </em><em> x ) , y = cos ( 3x ) + 2 </em>
Step-by-step explanation:
<u><em>Image 1.</em></u>
The graph is reflection of cosine over x-axis and max is 3.5 ⇒ A = -
Period is ( 4 π ) ⇒ B =
There are no horizontal and vertical shifts ⇒ C = D = 0
<em>y = - </em><em> cos ( </em><em> x )</em>
<u><em>Image 3.</em></u>
The graph of cosine shifted 2 units up only ⇒ D = 2 , C = 0
Period of the given function is ⇒ B = 3
<em>y = cos ( 3x ) + 2</em>
Answer:
Step-by-step explanation:
5 + 4i - 7 - 8i
-2 - 4i
Answer:
(-2, -6)
Step-by-step explanation:
Answer:
Everything looks good and correct
Step-by-step explanation:
Answer:
4 + 2/3 hours
Step-by-step explanation:
For the expert,
6 hours = 1 job
For the secretary,
7 hours = 1 job
We want to figure out how much the expert gets done in 2 hours.
2 hours = x jobs for the expert.
To turn 6 hours = 1 job into this, we can multiply both sides of the equation by 2 (the number we want to get to) / 6 (the number we are at) to get
6 hours * 2/6 = 1 job * 2/6
2 hours = 2/6 jobs
Therefore, the expert does 2/6 of the job, and 1-2/6 = 4/6 of the job is left for the secretary. We want to figure out how long it takes for her to complete the job
We know
7 hours = 1 job
and want to figure out
y hours = 4/6 jobs
We can multiply both sides of the original equation by (4/7) (the number we want to get to) / 1 (the number we are at) to get
7 hours * 4/6 = 1 job * 4/6
28 /6 hours = 4/6 jobs
= 4 + 4/6 hours
= 4 + 2/3 hours