The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
<h3>What is a quadratic equation?</h3>
Any equation of the form Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
Now,
After solving:
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1
The slope-point form of a line:
We have
Substitute:
The slope-intercept form:
Solve for y:
Answer: D.
D.) 9,987,000 becomes 9.987 x 10^6
The train is travelling at 80 miles per hour, this can be represented by 80mi/h
As the symbol suggests, you find the value of speed by dividing the amount of miles by the amount of hours.
Let S be speed, D be distance and T be time
we get S=D/T so we have also T=D/S
as such, the time to go 288 miles is simply:
top left choice is correct. 0.002 g is 10^(-3) time the approximate number of seed in the jar 4*10^4 (40000) = 10