hich function is the same as y = 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2? y = 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2 y = negative 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2 y = 3 cosine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2 y = negative 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2
Answers
Answer:
B) y = -3 sin(2(x + π/4)) - 2
Step-by-step explanation:
Which function is the same as y = 3 cos(2 (x + π/2)) - 2
A) y = 3 sin(2(x + π/2)) - 2
B) y = -3 sin(2(x + π/4)) - 2
C) y = 3 cos(2 (x + π/4)) - 2
D) y = -3 cos(2 (x + π/2)) - 2
y = 3 cos(2 (x + π/2)) - 2
Sine and cosine have the following relationship:
cos(θ) = sin (π/2 - θ)
y = 3 cos(2 (x + π/2)) - 2
⇒ y = 3 cos(2x + π) - 2
Let θ = 2x + π, therefore using Sine and cosine have the following relationship:
cos(2x + π) = sin (π/2- (2x + π))
= sin (π/2 - 2x - π)
= sin (-2x - π/2)
= sin (-2(x + π/4))
but sin(-θ) = -sin (θ)
Therefore:
sin (-2(x + π/4)) = -sin (2(x + π/4))
⇒ - sin (2(x + π/4)) = cos(2x + π)
y = 3 cos(2x + π) - 2 = 3[ - sin (2(x + π/4))] -2
y = -3 sin (2(x + π/4)) -2
Answer:
b
Step-by-step explanation:
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–30 = 6z
a. –5
b. –6
c. –24
d. –180
Answers
Plug in 6(-5) and you get -30
Answer is A
Find the sum of -240 + 370
Find the sum of -5.7 + (-4.2)
Answers
Answer:
0, 130, -9.9 I think
Step-by-step explanation:
Hope this helped!
k = ________
Answers
Answer:
The constant of proportionality for the group of boxes is 25.
Step-by-step explanation:
Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.
To find : What is the constant of proportionality for the group of boxes?
Solution :
The volume of a box(V) varies directly with its length(l).
Using k for the constant of proportionality.
We can express the relationship between V and l
If V varies directly with l.
V = kl
According to question,
If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then
Therefore, The constant of proportionality for the group of boxes is 25.
..............................................
Answers
Therefore each song costs $20/16 = $5/4 = $1.25
So:
2 songs would cost 2 * $1.25
3 songs would cost 3 * $1.25
...
x songs would cost x * $1.25
Since Renata started with $20, then her balance (y) after buying x songs would be:
y = 20 - 1.25*x
The equation that represents the relationship between the remaining balance and the number of songs purchased is y = $20 - $1.25x.
What is the equation?
The first step is to determine the cost of one song.
Cost of one song = $20 / 16 = $1.25
Remaining balance = value of the gift card - (number of songs purchased x cost of one song)
y = $20 - $1.25x
To learn more about mathematical equations, please check: brainly.com/question/26427570
#SPJ5
Answers
A = charges 9.95 per month for the first 10 hours and 1.69 per hour for all those over 10 hours.
B = charges a flat fee of 19.95
A = 9.95 + 1.69(x-10) where x is the total number of hours used.
B = 19.95
A = B
9.95 + 1.69(x - 10) = 19.95
1.69x - 16.9 = 19.95 - 9.95
1.69x = 10 + 16.9
1.69x = 26.9
x = 26.9/1.69
x = 15.92 hours
If usage does not go over 10 hours, it is cheaper to use A.
If usage is between 15-16 hours, A or B is acceptable. They cost almost the same.
If usage is beyond 16 hours, it is cheaper to use B.
Answers
ds/w=cd/12
now multiply ds on both sides
w=cd/12ds