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Tasya [4]
3 years ago
14

How many solutions are there to the equation below? 5x+48+7x=12(x+4)

Mathematics
1 answer:
aev [14]3 years ago
6 0
Hi there! The answer is A.

5x + 48 + 7x = 12(x + 4)
Work out parenthesis.

5x + 48 + 7x = 12x + 48
Collect terms

12x + 48 = 12x + 48
Now we can see that both sides of the equation are exactly the same. Therefore, it doesn't matter whatever value of x you plug into the equation. Each value of x you plug into the equation makes the equation correct, because both sides are the same (both sides have the same outcome value).

The answer is A.


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Select the correct answer from each drop-down menu.
tino4ka555 [31]

Answer:   The correct answer is:   [C]:  "  15^{(7/4)} " .

____________________________________

Step-by-step explanation:

____________________________________

Note the property for square roots in exponential form:

_____________________________________

     →    \sqrt[a]{(b)^ c}  ;  ↔  bb^{(c/a)} ;

    { a\neq 0 ; [a^{(b/c)}]\neq 0 ; c\neq 0  .}.

_____________________________________

As such, given:

     →    \sqrt[4]{(15^7)} ;  

  a = 15,  b = 7,  c = 4 .

     

     →    \sqrt[4]{(15^7)} ;   ↔  15^{(7/4)} ;

     →  which corresponds to:

_____________________________________

Answer choice:  [C]:  "  15^{(7/4)} " .

_____________________________________

Hope this helps!

  Wishing you well in your academic endeavors!

_____________________________________

5 0
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