Answer:
$113
Step-by-step explanation:
$678 / 6 =
$113 each
Hope that helps!
Your mom your dad and you brother
-x+6>-(2x+4)
first distirubte
-x+6>-2x-4
add 1x to both sdies
6>-x-4
add 4 to both sdies
10>-x
multily -1 and don't forget to switch > to <
10<x
(9z+5)/4+18<26
multply both sdies by 4 to get rid of fraction
9z+5+72<104
add like terms
9z+77<104
subtract 77
9z<27
divide both sdies by 9
z<3
We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.
We know that
and
. We can see that our given function is starting at origin, so our graph is sine function.
We know that general form of sine is
, where,
A = Amplitude,
Period: ![\frac{2\pi}{B}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7BB%7D)
C = Horizontal shift,
D = Vertical shift.
We have been given that function has no horizontal shift, so the value of C is 0.
We can also see that midline of our function is x-axis, so there is no vertical shift as well that is
.
We can see that function goes up to 1 from midline and goes down to
from midline, so amplitude of function is 1 that is
.
We can see that period of our given function is
because it completes one cycle from
to ![3\pi](https://tex.z-dn.net/?f=3%5Cpi)
![4\pi=\frac{2\pi}{B}](https://tex.z-dn.net/?f=4%5Cpi%3D%5Cfrac%7B2%5Cpi%7D%7BB%7D)
![B=\frac{2\pi}{4\pi}=\frac{1}{2}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B2%5Cpi%7D%7B4%5Cpi%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![y=\sin(\frac{1}{2}x)](https://tex.z-dn.net/?f=y%3D%5Csin%28%5Cfrac%7B1%7D%7B2%7Dx%29)
We can see that our function is reflected about x-axis, so our function will be
.
![y=-\sin(\frac{1}{2}x)](https://tex.z-dn.net/?f=y%3D-%5Csin%28%5Cfrac%7B1%7D%7B2%7Dx%29)
Therefore, our required function is
.