F is proportional to 1/x^2
distance = x
A reduction of 25 percent = 0.75x
Let’s put this in place of x
F = 1/(0.75x)^2
And simplify
F = 1/0.5625x^2
So you need to find the percentage increase from 1/x^2 to 1/0.5625x^2
So what does 1/x^2 multiply by to give 1/0.5625x^2
Written as an equation it is y/x^2 = 1/0.5625x^2
Multiply both sides by x^2
y = 1/0.5625
y = 1.778 (rounded to 3 decimal points)
So the decimal multiplier is 1.778 and so the percent increase is approximately 77.8%
Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
Answer:
Lin = 48 seconds
Diego = 30 seconds
Step-by-step explanation:
Hi, to answer this question we have to divide the total ounces of drink by the amount that each one drank per second, for each case.
Mathematically speaking:
Lin = 12 ounces / (1/4) ounces/second = 12/ (1/4) = 48 seconds
Diego = 20 ounces / (2/3) ounces/second = 20/ (2/3) = 30 seconds
Feel free to ask for more if needed or if you did not understand something.
(1, 3) represent a solution to the equation.
