What is the value of A when we rewrite (5/2)^x +(5/2)^x+3 as A x (5/2)^x

Mathematics

1 answer:

elixir [45]3 years ago

3 0

Answer:

Step-by-step explanation:

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

Therefore,

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

You might be interested in

Please help me if you are good at math!

Zanzabum

Answers:
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric

Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.

Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.

Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.

I hope this helped!

4 0

3 years ago

Elauate the expression when m=8 and n=5. n+6m

wolverine [178]

Answer:

n+6m= 5+6(8)

=5+48

= 53

Step-by-step explanation:

4 0

3 years ago

Jeanette eats breakfast sandwich that has 345 calories. If Jaenette eats the same kind every day for 12 days, how many calories