Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
----> the parent function
The vertex of f(x) is the point (0,0)
----> the transformed function
The vertex of g(x) is the point (0,-3)
so
The rule of the translation is
f(x) -----> g(x)
(0,0) ----> (0,-3)
(x,y) ----> (x,y-3)
That means ---> The translation is 3 units down
see the attached figure to better understand the problem
Dakota would have 52 boxes after 4 hours and Alice would have 52 boxes with a total of 104 boxes
Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
One is going 52 and the other 64
2 (x)+2 (x+12)=232 and solve
