Question

What is the value of A when we rewrite... (PLZ HELP QUICK)

Answer 1

Answer:

$\frac{133}{8}$

Step-by-step explanation:

Given,

${( \frac{5}{2} )}^{x} + {( \frac{5}{2} )}^{x + 3}$

$= {( \frac{5}{2}) }^{x} + {( \frac{5}{2}) }^{x} \times {( \frac{5}{2} )}^{3}$

$= ( \frac{5}{2} ) ^{x} (1 + {( \frac{5}{2} )}^{3}$

$= {( \frac{5}{2} )}^{x} (1 + \frac{125}{8} )$

$= {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )$

$= {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )$

${( \frac{5}{2} )}^{x} ( \frac{133}{8} )$

Comparing with A • ${( \frac{5}{2}) }^{x}$

A = $\frac{133}{8}$

Hope this helps...

Good luck on your assignment...