When divided by 2 we get perfect square
<span>(2^n * 3^m) / 2 = 2^(n-1) * 3^m is a perfect square </span>
(n-1) and m are divisible by 2
<span>When divided by 3 we get perfect cube </span>
<span>(2^n * 3^m) / 3 = 2^n * 3^(m-1) is a perfect cube </span>
n and (m-1) are divisible by 3
<span>(n-1) divisible by 2 & n divisible by 3 → n = 3 </span>
<span>m divisible by 2 & (m-1) divisible by 3 → m = 4
</span><span>Number = 2³ * 3⁴ = 648
</span>648/2 = 324 = 18²
<span>648/3 = 216 = 6³
</span>ANSWER: 648
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Suggest you make yourself a list of transformations and their associated rules. The ones you're concerned with here are
.. f(x) ⇒ f(kx) . . . . . . horizontal compression by a factor of k
.. f(x) ⇒ f(x -k) . . . . . right shift by k units
a) Each point (x, y) gets moved to (2x, y). The graph is expanded horizontally by a factor of 2.
b) Each point (x, y) gets moved to (x+2, y). The graph is translated horizontally 2 units to the right.
c) Each point (x, y) gets moved to ((x +1)/2, y). The graph is translated horizontally 1 unit to the right, then compressed horizontally by a factor of 2.
Answer:
140
Step-by-step explanation:
5%/100 = 7/?
7 times 100 = 700
700 divided by 5 = 140 coins