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.
Answer:
Since all parts of 2i(-3+7i) is in the denominator, you have to use an extra set of parentheses around the whole denominator. this is what you do
(5+i)(6−5i) / (2i(−3+7i))
= (30−25i+6i−5i^2) / (−6i+14i^2)
= (35−19i) / (−14−6i)
= (35−19i)(−7+3i) / (2(−7−3i)(−7+3i))
= (−245+105i+133i−57i^2) / (2(49−9i^2))
= (−188+238i) / (2(58))
= (−188+238i) / 116
= −47/29 + 119/58 iso that is how you do it
first notation: 8/1 (8 over 1)
and
second notation: 8 to 1
Answer:
Margin of error = 0.01344
Step-by-step explanation:
Margin of error = critical value × standard deviation.
critical value for 95% confidence interval = 1.96
Standard deviation = √[(p)(q)/n]
p = 0.4, q = 1 - p = 1 - 0.4 = 0.6, n = 5100
Standard deviation = √[(0.6×0.4)/5100] = 0.00686
Margin of error = 1.96 × 0.00686 = 0.0134
I think the answer is c- reflection
