Answer:
Step-by-step explanation:
The relevant rule of exponents is ...
(a^b·c^d)^e = a^(be)·c^(de)
Then ...
(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)
= m^(35/12)·n^(-28/15)
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Since you want positive rational exponents, you can write this as ...
= m^(35/12)/n^(28/15)
Answer:
-1
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis.
For E to be the midpoint of DF, it needs to divide DF in 2 equal segments, DE and EF. If E is the midpoint of DF, then DE and EF are equal, so the reason is that the expressions for DE and EF are equal. The reason is:
f(x) = 0.5x - money per ticket
g(x) = 8x - tickets per hour
We replace g(x) with its value (8x).
f(g(x)) = f(8x)
We replace the x in f(x) with 8x.
f(8x) = 0,5 × 8x
f(8x) = 4x
<u>⇒ f(g(x)) = 4x</u>
<u></u>
Correct answer:
a.<em> f(g(x)) = 4x, which represents the money Aurora made in dollars per hour</em>
The product is 18n^2-48n-12n+32 which simplifies to 18n^2-60n+32. I got this using the FOIL method (First, Outer, Inner, Last)
