https://web2.0calc.com/questions/math_87917
x = origianl price
x - 6 * x/40 = 117
34/40 x = 117
x=117*40/34 = 137.65 dollars Assuming prorated discounts ( i.e. 6 discount for 40 3 discount for 20 etc)
If no prorated discount
x - 18 = 117
x = 135 dollars
TO : 579.24/2 = 289.62 km/hr
RETURN 579.24/5.6=103.43 km/hr
7.6 hours roundtrip of 1158.48 km
Average = 152.43 km/ hr = plane speed
152.43 - 103.43 = wind speed = 48.99=~~49 km/hr
it is in Quadrant III so cos is negative reference angle is 450 Enough clues?
x(x + 6) > 16 + x(x + 3)
x^2 + 6x > 16 + x^2 + 3x
3x>16
x > 16/3
4t^2 <= 9t - 2 - 13t + 2t^2
2t^2 +4t+2 <=0
t^2 + 2t+2 <= 0
(t+1)^2 <= 0
t = -1 is the only answer
x^2 + 8x + ____ + 3x^2 + 2x condense
4x^2 + 10x + _____
4 (x^2 + 2.5x) + ____
4 (x + 1.25)^2
4x^2 +10x + 25/4 = (2x +2.5)^2
Yay ....thanx for the feedback...it is nice to know sometimes, when doubtful of my answers, that the answer was correct !
(not positive of this)
TO be positive both a and b must be negative OR both a and b must be positive
a neg * b neg
3/4 * 2/6 = 3/12 because 3/4 of the a range is negative and 2/6 of the range of b is negative
a pos * b pos
1/4 * 2/6 = 2/12
3/12 + 2/12 = 5/12
See this answer to figure this out:
https://web2.0calc.com/questions/help-geometry_124#r1
