Answer:
Step-by-step explanation:
eq. of directrix is y=4 or y-4=0
perpendicular distance of (x,y) from directrix =distance of (x,y) from focus (-3,2)
We are given the distance as a function of time:
s = 4.9 t^2 + 350
To get the velocity, we take the first derivative and
substitute the value of t = 2:
ds = 9.8 t dt
ds / dt = 9.8 t
velocity = 9.8 (2)
<span>velocity = 19.6 m/s</span>
Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
__
<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Answer:
64 tomatoes
Step-by-step explanation:
If it's 8 to 2 and you multiply the ratio (x to 16) you just do to one side what you did to the other. So, if you multiplied one part of the ratio by 8, you do the same to the other. 8*8 = 64 and 2*8 = 16
