Answer: d. the correct decision has been made
Step-by-step explanation:
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
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Answer:
x=2
Step-by-step explanation:
solve to find x= -4,2
plug them into the equation and the -4 gives you a negative solution, and 2 gives you a positive solution. Use the positive solution
Hey there!
To start, the domain of a function is the set of x values a function has, in other words, the values the function has on the x-axis.
In this function, the graph appears to have a function going on infinitely in both directions (left and right). Because of this, your domain in interval notation would be (-∞,∞)
**Your interval notation would be in parenthesis because you cannot include negative or positive infinity as one of your values since while your graph is approaching these values, it never really reaches it.
Hope this helps and have a wonderful day! :)
<u><em>Answer:</em></u>
The original number of passengers on the bus decreased by 10 after the second stop
<u><em>Explanation:</em></u>
Assume that the total passengers on the bus before 2:30 was x
<u>Now, at 2:30:</u>
15 passengers got off and 9 got on.
<u>This means that:</u>
number of passengers = x - 15 + 9
number of passengers = x -6
<u>10 minutes later:</u>
4 passengers got off the bus
<u>This means that:</u>
number of passengers = (x-6) - 4
number of passengers = x - 10
<u>By comparing, we can note that:</u>
The original number of passengers on the bus decreased by 10 after the second stop
Hope this helps :)
