FIRST CORRECT ANSWER GETS BRAINLIEST!!! 20 POINTS!!!!!

Mathematics

2 answers:

Leto [7]3 years ago

8 0

Answer:

Step-by-step explanation:

When you plug this expression into the calc, you should get 14 as your answer.

Maslowich3 years ago

4 0

Answer:

Step-by-step explanation:

-3(7+5)

------------ + 9(2)

3^2

PEMDAS

Parentheses first

-3(12)

------------ + 9(2)

3^2

Then exponents

-3(12)

------------ + 9(2)

Then multiply the top of the fraction

-36

------------ + 9(2)

Complete the fraction

-4 + 9(2)

Finish multiplying

-4+18

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Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

4vir4ik [10]

Answer:

x = 4 (extraneous solution)

Step-by-step explanation:

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.