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3 years ago

Fractional indices pls help

Mathematics

1 answer:

bulgar [2K]3 years ago

5 0

Answer:

Formula used :

(a^m)^n = a^(m×n)
a^m × a^n = a^(m+n)

$27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}$

<u>k = (6x+3)</u> is the right answer.

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Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi

irga5000 [103]

$\huge\boxed{18\ \text{points}}$

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with $x$ , $x+1$ , $x+2$ , and $x+3$ respectively since each one is 1 point more than the last.

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$\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}$

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2 years ago

Write a compound interest function to model the following situation. Then, find the balance after the given number of years.

Valentin [98]

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