Answer:
Option D is correct .i.e., Vertical translation down 9 units
Step-by-step explanation:
Given Function is y = cosec x - 9
Here basic function or parent function is y = cosec x
1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.
2. When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.
Therefore, Option D is correct .i.e., Vertical translation down 9 units
Let vanessa's height = v.
twice of vanessa's height = 2v
64 decreased by... = 64 -
64 - 2v is your algebraic expression
hope this helps
Answer:
The system of inequalities is
![y](https://tex.z-dn.net/?f=y%3C-x-2)
![y>0.25x](https://tex.z-dn.net/?f=y%3E0.25x)
Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope
![m=(0+2)/(-2-0)=-1](https://tex.z-dn.net/?f=m%3D%280%2B2%29%2F%28-2-0%29%3D-1)
Find the equation of the line in slope intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![m=-1\\b=-2](https://tex.z-dn.net/?f=m%3D-1%5C%5Cb%3D-2)
substitute
![y=-x-2](https://tex.z-dn.net/?f=y%3D-x-2)
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is
![y](https://tex.z-dn.net/?f=y%3C-x-2)
step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope
![m=(1-0)/(4-0)=0.25](https://tex.z-dn.net/?f=m%3D%281-0%29%2F%284-0%29%3D0.25)
Find the equation of the line (direct variation)
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
we have
![k=0.25](https://tex.z-dn.net/?f=k%3D0.25)
substitute
![y=0.25x](https://tex.z-dn.net/?f=y%3D0.25x)
The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is
![y>0.25x](https://tex.z-dn.net/?f=y%3E0.25x)
therefore
The system of inequalities is
![y](https://tex.z-dn.net/?f=y%3C-x-2)
![y>0.25x](https://tex.z-dn.net/?f=y%3E0.25x)
So basically, each number is equal to the two numbers below it added together.
See, 7 = 3+4, 8 = 5 +3, etc.
So, the top would be 16 + 17.
16 + 17 = 33
So 33 goes on top.