Hey there :)

When you take x⁴ from the denominator to the numerator, you get x⁻⁴
Therefore, first option:
is one correct expressionWhen you exchange the numerator and denominator, you will have negative powers on them. Such as when you take 6 to the numerator you will have 6⁻¹ and 5 to the denominator is 5⁻¹
So, second option :
is another right expression.
distance = speed × time
The distance traveled downwind is 14x. The speed upwind is 4 mph less than 14 mph, so is 10 mph. The distance traveled in x hours upwind is 10x. That distance is 6 miles short of the downwind distance, so we can write the equation ...
... 10x = 14x -6
... 0 = 4x -6 . . . . . subtract 10x
... 0 = x -1.5 . . . . . divide by 4
... 1.5 = x . . . . . . . the downwind travel time is 1.5 hours.
The remaining distance upwind is 6 miles, and it is covered at 10 mph, so will take ...
... (6 mi)/(10 mi/h) = 0.6 h
Then the total trip takes x hours downwind plus x hours upwind plus 6/10 hours to finish the upwind trip:
... 2x+0.6 = 2(1.5) +0.6 = 3.6 . . . hours
How many hours does he rent it?
Either way, the equation would be 30 + 10x
x is the number of hours he rents the digger.
So for example, if he rented it for say 8 hours
30 + 10(8)
30 + 80
$110
Every 5800 years, your element will decrease by 50%. So one way to represent that as an equation is:
f(t) = (1/2)^(t/5800)
So if t = 5800 years, our equation will be (1/2)^1 or 1/2 or 50%, so it checks out.
Answer:
3x³y(11x²y+3y²+7)
Step-by-step explanation:
hope that helps