Answer:
d = 0.666t , where d is in miles and t is in minutes.
d = 39.94h, where d is in miles and h is in hours.
Step-by-step explanation:
A car travels
miles in
minutes at a constant speed.
Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)
Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,
2.33 = 3.5k
⇒ k = 0.666 (Approx.)
So, the equation (1) becomes d = 0.666t. (Answer)
Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)
Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get
2.33 = 0.058K
⇒ K = 39.94
So, the equation (2) we get, d = 39.94h (Answer)
Answer:
Z = 0.198877274
Step-by-step explanation:

Hence, the value of Z = 0.198877274
Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.