Answer:
Step-by-step explanation:
![6\sqrt{x-2}+4](https://tex.z-dn.net/?f=6%5Csqrt%7Bx-2%7D%2B4%3C28%5C%5C6%5Csqrt%7Bx-2%7D%3C28-4%5C%5C%5Csqrt%7Bx-2%7D%3C%5Cfrac%7B24%7D%7B6%7D%5C%5C%5Csqrt%7Bx-2%7D%3C4%5C%5C%5C%5Cx-2%20%3C16%5C%5Cx%3C16-2%5C%5Cx%3C14x-2%20%5Cgeq%200%5C%5Cx%5Cgeq%202%5C%5Cso~2%20%5Cleq%20x%20%3C%2014)
Answer:
No
Step-by-step explanation:
Number of feets per second of treasure chest = 20ft / s
Depth of ocean floor = - 4200
To know if chest will reach ocean depth in 3 minutes ; use the Relation :
Distance = speed * time
Time = 3 minutes = (3 * 60) = 180 seconds
Depth of chest after 180 seconds :
-20 * 180 = - 3600 feets
Hence, chest can't reach ocean floor in 3 minutes
-4200 feets is deeper than - 3600 feets
Answer:
16
Step-by-step explanation:
one side is four the other is four 4x4 is 16
Answer:
x ∈ {-a, -b}
Step-by-step explanation:
1/(a+b+x) = 1/a +1/b +1/x . . . . given
abx = bx(a+b+x) +ax(a+b+x) +ab(a+b+x) . . . . multiply by abx(a+b+x)
(a+b)x^2 +(a+b)^2x +ab(a+b) = 0 . . . . . subtract abx
x^2 + (a+b)x +ab = 0 . . . . . divide by (a+b)
This is a quadratic equation in x. It will have two solutions, as given by the quadratic formula.
x = (-(a+b) ±√((a+b)^2 -4(1)(ab))/(2(1)) = (-(a+b) ± |a -b|)/2
Without loss of generality, we can assume a ≥ b, so |a -b| ≥ 0. Then ...
x = (-a -b -a +b)/2 = -a
x = (-a -b +a -b)/2 = -b
There are two solutions: x ∈ {-a, -b}.