Answer:
x= $19.25 + $36
y= total cost
Step-by-step explanation:
x= number of nights + admission
y= total cost
For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:

With the wind against the speed is:

Rewriting both equations, we have the following system of equations:

Then, solving the system of equations (graphically for example), we have the solution is:

Therefore, jet stream's speed:
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h
Basically, Justin and Tina's paths form two right-angled triangles whose hypotenuses(?) form a straight line between their end points. Therefore we need to find the two distances from the starting point and add them.
Justin walked 3 miles north and 6 miles west so his distance from the start is the square root of 9+36 or 45. This can be simplified to 3√5.
Tina walked 2 miles south and 4 miles east so her distance from the starting point is the square root of 4 + 16 or 20. This can be written as 2√5.
If we add these two distances together we get 5√5. Hence, Justin and Tina are 5√5 miles away from each other.
Answer:
(a) discriminant is positive, 76
(b) the above tells you there are two real roots
Step-by-step explanation:
the discriminant is 'b² - 4ac'
3x² - 2x - 6 = 0 ∴ a = 3, b = -2, c = -6
(-2)² - 4(3)(-6) = 4 + 72