Answer:
Hope that answers your question, good luck in the future
As we can notice on the graph (https://prnt.sc/9jzv7y) the solution are the point where the 2 graphs intersects. Based on the graph, the intersection points are
(-1.7, 12) and (4,0) approximately.The solutions are 'x' coordinates of the intersection points (x,y) so <span>−1.7 and 4.</span>
Let t be time and r be rate, then if time varies inversely with the rate, the equation is
. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.
. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:
and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
Answer:
the one the has the points of (4,5) and (-1,1)
Step-by-step explanation:
Option 4 is correct i.e. <span>The volume of the box is increasing at a rate of 192 cm^3/min.
</span>Given : Volume of the rectangular box = x²h
where x is edge and h is height.
The edge and the height are varying with time, therefore, we write,x = x(t)
h = h(t)
dh/dt = -3 and we shall calculate when x = 4, dx/dt = 2 and when h=15
V = x²h dV/dt = (2x × dx/dt × h) + (x² × dh/dt) dV/dt = 2×4×2×15 + (4)^2 ×(-3) dV/dt = 240 - 48
dV/dt = 192
Because dV/dt is positive, hence the volume is increasing