Manila makes a drum in 4 weeks = 1/4 drum a week.
Zane makes a drum in 6 weeks = 1/6 drum a week.
X - number of weeks to make 15 drums.
15 = X(1/4 + 1/6)
X = 15/(1/4 + 1/6) = 15/(3/12 + 2/12) = 15/(5/12) = (15/5) x 12 = 3 x 12 = 36 weeks
check: 15 = X(1/4 + 1/6) = 15 = 36(1/4 + 1/6) = 15 = 36/4 + 36/6 = 9 + 6 = 15
3p -16 < 20
⇒ 3p < 20+ 16
⇒ 3p < 36
⇒ p < 36/3
⇒ p < 12
Final answer: p < 12~
well, if m = 1, let's see, then f(x) = √(mx) = √(1x) = √x
and then g(x) = m√x = 1√x = √x
well, if both equations are equal, then their ranges are also equal.
now, if m = "any positive real number"
f(x) = √(mx) = √m √x will yield some value over the y-axis
g(x) = m√x will yield some range over the y-axis, however, "m" is a larger value than "√m".
what that means is that so long "m" is a positive real number, the ranges of f(x) and g(x) will be the same over an infinite range on the y-axis, even though g(x) is moving faster than f(x), f(x) is moving slower because √m makes a stretch transformation which is smaller than one "m" does.
Step-by-step explanation: