if the sisters earn x,y,z then z = 3/2 y x = 1/2 z x+y+z = 260 (x,y,z) = (60,80,120)
or, use google translate 46.500 = cuarenta e seis mil quinientos
#1. just change the sign of all the elements of A. #2. just multiply all the elements by 3.
assuming a heartbeat of 60/min, that's 86400 beats/day. 86400*0.06 = ? since the volume is given in ml units, but we're dealing with thousands of beats, I'd say 1 liter would be appropriate for the answer. as for gallons, just look up the conversion factor and mult...
line m has slope ∆y/∆x = (-2-5)/(-3-2) = 7/5 the perpendicular line's slope is the negative reciprocal, or -5/7
just divide all terms by -3 to get y all by itself.
College Algebra - incomplete
when dealing with rational functions, the value is undefined when the denominator is zero. So, f' and f" are undefined at x=0 f is the anti-derivative of f'. So, f(x) = 1/3 x^3 - 8ln(x) + c If you take the derivative of that, you'll get f' as given. Note t...
f'(2) = 4 - 8/2 = 0 f"(x) = 2x+8/x^2 f"(2) = 4 + 8/4 = 6 so, f'(2)=0 and f"(2)>0, means there is a local minimum there. Recall that an inflection point is where f" = 0 (an infection point is just sick!) a discontinuity is where f is undefined. a ...
if the box as height h, then the cost is c = x^2 + .5*4xy + .5x^2 = 3/2 x^2 + 2xy = 3/2 x^2 + 2x(21/x^2) = 3/2 x^2 + 42/x dc/dx = 3x - 42/x^2 = 3(x^3-14)/x^2 dc/dx=0 when x^3 = 14 x = ∛14