Given:
The equations are
![y=-21x+9](https://tex.z-dn.net/?f=y%3D-21x%2B9)
![y=24x+8](https://tex.z-dn.net/?f=y%3D24x%2B8)
To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is slope and b is y-intercept.
On comparing
with the slope intercept form, we get
![m_1=-21](https://tex.z-dn.net/?f=m_1%3D-21)
![|m_1|=|-21|](https://tex.z-dn.net/?f=%7Cm_1%7C%3D%7C-21%7C)
![|m_1|=21](https://tex.z-dn.net/?f=%7Cm_1%7C%3D21)
On comparing
with the slope intercept form, we get
![m_2=24](https://tex.z-dn.net/?f=m_2%3D24)
![|m_2|=24](https://tex.z-dn.net/?f=%7Cm_2%7C%3D24)
Since,
, it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
The practice will end at exactly 4:00 .
Answer:
- ![\frac{8}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B7%7D)
Step-by-step explanation:
Given
← cancel sec x on numerator/ denominator
= ![\frac{8}{-7}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B-7%7D)
= - ![\frac{8}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B7%7D)
Is there a picture to this
Answer:
The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.
Step-by-step explanation:
hope this helps!