Answer:
12 miles per hour
Step-by-step explanation:
Let speed of boat in still water be "x"
and speed of current be "c"
So, downstream rate would be "x + c"
And, upstream rate would be "x - c"
Now, given c = 4
We can use the distance formula, D = RT, where
D is distance, R is rate, and T is time
to solve this.
Downstream:
D = RT
92 = (x+4)(t)
Upstream:
D = RT
46 = (x-4)(t)
Both the times are same, we can equate both the times. Lets simplify first:
t = 92/(x+4)
and
t = 46/(x-4)
Equate:

Now, cross multiply and solve for x to get our answer:

Speed of Boat (in still water) = 12 mph
So to find the value of -3 do the following process:
Insert the -3 in the x’s in the equation on the top of the table
y= 5x -3x to the second power + 3
y= 5 (-3) -3(-3) to the second power + 3
Then continue to simplify the equation
y= -15 + 9 to the second power + 3
y= -15 + 84
y = 69
Y= 69 for the chart for -3
For b, c, and d insert the number in the x values and simplify like the previous equation.
If you are confused, feel free to ask questions. I hope this is effective and helps you in your studies.
Answer:
Improper: 3/2
Mixed: 1 1/2
Step-by-step explanation:
I believe this is right, if not feel free to critique me and I will fix it. I'm sorry in advance if it is incorrect.