Answer: ![\bold{y=sin(4x)+3}](https://tex.z-dn.net/?f=%5Cbold%7By%3Dsin%284x%29%2B3%7D)
<u>Step-by-step explanation:</u>
![\text{The standard form of a sine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20standard%20form%20of%20a%20sine%20equation%20is%3A%20y%3DA%20cos%28Bx%20-%20C%29%20%2B%20D%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BA%20%3D%20amplitude%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BPeriod%20%3D%20%7D%5Cdfrac%7B2%5Cpi%7D%7BB%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BPhase%20Shift%20%3D%20%7D%5Cdfrac%7BC%7D%7BB%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BD%20%3D%20vertical%20shift%20%28up%20if%20positive%2C%20down%20if%20negative%29%7D)
The given information is:
- A (amplitude) = 1
![Period\bigg(\dfrac{2\pi}{B}\bigg)=\dfrac{\pi}{2}}\qquad \implies B=4](https://tex.z-dn.net/?f=Period%5Cbigg%28%5Cdfrac%7B2%5Cpi%7D%7BB%7D%5Cbigg%29%3D%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%5Cqquad%20%5Cimplies%20B%3D4)
- D (Vertical shift) = +3
![\implies \large\boxed{y=sin(4x)+3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Clarge%5Cboxed%7By%3Dsin%284x%29%2B3%7D)
+Answer:
You are lying more then telling the truth.
Step-by-step explanation:
At first, it was a lie but a coincidence happened, so it is more lying in my opinion.
Answer:
528
Step-by-step explanation:
So naturally at first sight for this question we would think -->
Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.
But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.
We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528
And thus, we have out answer of 528
Hope this helps!
Answer:
(x - 1)(3x - 5)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x-term.
product = 3 × 5 = 15 and sum = - 8
The factors are - 3 and - 5
use these factors to split the middle term
3x² - 3x - 5x + 5 ( factor the first/second and third/fourth terms )
= 3x(x - 1) - 5(x - 1) ( take out the common factor (x - 1) )
= (x - 1)(3x - 5)
Y - 3 = 12 (x - 4)
y - 3 = 12x - 48
y = 12x - 45 is your answer
(edit)
y - 3 = 1/2 (x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1 is your answer