Answer:
the answer is 1
Step-by-step explanation:
the bottom says 6 and the other top says 7 so the only right answer is 1
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
Answer:
2 min
Step-by-step explanation:
she runs 5 miles in 52 min
her goal is 6 miles
so if 5 miles is completed in 50 min then 1 mile = 10 min
and 6 mile = 60 min
The amount of water in the pool after t minutes is modeled by the linear function 
, hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:
- In which V(0) is the initial volume.
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence 
, and:
Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309
Answer:what equation
Step-by-step explanation:
