Answer:
m = 1 + 2log(x)/log(y)
Step-by-step explanation:
Taking logarithms, you have ...
log(x) +m·log(y) = log(y) +3log(x)
m·log(y) = log(y) +2·log(x) . . . . subtract log(x)
m = (log(y) +2·log(x))/log(y) . . . divide by the coefficient of m
m = 1 +2·log(x)/log(y) . . . . . . . simplify a bit*
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* The "simplified" form will depend on your preference. Here, I like the integer 1 brought out because most logs are irrational. The result may be very slightly more accurate if we add 1, rather than log(y)/log(y)--depending on your calculator.
1.57, divide two times pi (3.14)
in the f(t) = 15000(1.08)ᵗ, which is a form of a compounded interest formula, t = years, so
f(t) = 15000(1.08)¹⁰ , is the value of it when t = 10, after 10 years.
We have that
<span>observing the graph of the problem, it is evident that the solution is option D, since the graph of the parabola presents a domain for x <4 and the line presents a domain for x> = 4 and the only option with these two conditions is option D
</span>
using a graph tool
<span>I proceed to verify</span>
see the attached figure
the answer is the option D
Answer:
-13
Step-by-step explanation:
We remove the -4 by adding 4 to each side:
3y = -43 + 4
Now we simplify to give:
3y = -39
So now we divide both sides by 3 to give our answer of:
y = -39/3
y = -13
We can substitute this into the original equation to check our answer:
-4 + 3(-13) = -43
-4 + -39 = -43
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