Answer:
The rate of current is 2.5 mph.
Step-by-step explanation:
The speed in the water when current is absent is 9 mph.
If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.
Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as
⇒ 
⇒ 148v = 405 - 5v²
⇒ 5v² + 148v - 405 = 0
Applying Sridhar Acharya's formula we can write
(Neglecting the negative root)
⇒ 
mph (Rounded to the nearest 10th) (Answer)
8x+6=62
Subtract 6 from both sides
8x= 56
Divide both sides by 8
x=7
Final answer: The number is 7
9514 1404 393
Answer:
x^2/1024 -y^2/7744 = 1
Step-by-step explanation:
The parent hyperbola relation is ...
x^2 -y^2 = 1
This has asymptotes of y = ±x and x-intercepts of ±1.
For the given hyperbola, we want to scale x by a factor of 32, and y by a factor that is 2.75 times that, or 88. Then the equation could be written as ...
(x/32)^2 -(y/88)^2 = 1
More conventionally, the denominator is shown at full value:
x^2/1024 -y^2/7744 = 1
C - Associative then Distributive
Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through
5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
85z+145
(f+g)(x) = 2^x + 5x + 3x - 5
(f+g)(x) = 2^x + 8x - 5
answer
C. 2^x + 8x - 5
