The first step into solving this equation should be, c dividing by both sides
Answer:
Step-by-step explanation:
For a function to have a y-intercept of -1, means that
when x = 0, f(0) = -1.
we must look for which of the options meets this condition.
I will number the options as follows:
![1. f(x) = -sin(x) - 1\\2.f(x) = -2 sin(x) - 1\\3.f(x) = -cos(x)\\4. f(x) = -2 cos(x) - 1](https://tex.z-dn.net/?f=1.%20f%28x%29%20%3D%20-sin%28x%29%20-%201%5C%5C2.f%28x%29%20%3D%20-2%20sin%28x%29%20-%201%5C%5C3.f%28x%29%20%3D%20-cos%28x%29%5C%5C4.%20f%28x%29%20%3D%20-2%20cos%28x%29%20-%201)
when x = 0:
![f(0)=-sin(0)-1\\](https://tex.z-dn.net/?f=f%280%29%3D-sin%280%29-1%5C%5C)
Note:
, so
![f(0)=0-1\\f(0)=-1](https://tex.z-dn.net/?f=f%280%29%3D0-1%5C%5Cf%280%29%3D-1)
function 1 meets the condition for the y-intercept.
when x = 0
![f(0)=-2sin(0)-1\\f(0)=0-1\\f(0)=-1](https://tex.z-dn.net/?f=f%280%29%3D-2sin%280%29-1%5C%5Cf%280%29%3D0-1%5C%5Cf%280%29%3D-1)
function 2 also meets the condition for the y-intercept.
when x = 0
![f(0)=-cos(0)](https://tex.z-dn.net/?f=f%280%29%3D-cos%280%29)
Note: ![cos(0)=1](https://tex.z-dn.net/?f=cos%280%29%3D1)
![f(0)=-1](https://tex.z-dn.net/?f=f%280%29%3D-1)
function 3 also meets the condition for the y-intercept.
when x = 0
![f(0)=-2cos(0)-1\\f(0)=-2(1)-1\\f(0)=-2-1\\f(0)=-3](https://tex.z-dn.net/?f=f%280%29%3D-2cos%280%29-1%5C%5Cf%280%29%3D-2%281%29-1%5C%5Cf%280%29%3D-2-1%5C%5Cf%280%29%3D-3)
function 4 does not meet the condition for the y-intercept, so we discard it.
We are left with the 3 first functions as options. Now we consiser that the amplited must be 2.
The amplitude in an oscillatory function like these is the number that accompanies the sine or the cosine:
f(x) = ±Asin(x) or
f(x) = ±Acos(x)
so out of the option we have to consider, only the second function has a number 2 next to the sine function:
this function will have a y-intercept of -1 and an amplitude of 2 (because the sine has a number 2 next to it)
Set a proportion 13.50/15 and x/100
13.50x100=1350 1350/15=90 subtract 90 from 100 so 10
10% is the discount rate because 10% of 15 is 1.50 or $1.50
Answer:
m = 33°
Step-by-step explanation:
x = 33°
from picture ;
x = m = 33°
n = y = 124