3p+2h=195
p + 15 = h
3p + 2(p + 15) = 195
3p + 2p + 30 = 195
5p = 165 (combine like terms and isolate your variable)
p = 33
33 + 15 = 48 (plug 33 into your original second equation)
ANSWER: 33 pretzels and 48 hotdogs
**You can plug these into your original (first) equation to check your answer
Equivalent equations are equations that have exactly the same solution. To find equivalent equations, it is best to solve them individually to find the solutions. The ones with the same solution in the end are considered equivalent equations.
Hope this helps!
Answer:
a)
, b)
, c)
, d)
, e)
, f) 
Step-by-step explanation:
The velocity function can be derived by the differentiating the height function:

Velocities after 2 and 4 seconds are, respectively:
a) 
b) 
The maximum height is reached when velocity is zero. Then:

c) 
The maximum height is:
d) 
The time required to hit the ground is:

Roots of the second-order polynomial are:


Only the first root is physically reasonable.
e) 
The velocity when the projectile hits the ground is:
f) 