PLEASE HELP AND EXPLAIN!

Mathematics

1 answer:

Neko [114]3 years ago

8 0

Answer:

12 years old.

Step-by-step explanation:

1) 2x+x=18

2) Now solve 2x+x=18

Add alike terms

3x=18

Now divide both sides by 3 (3x/3 and 18/3)

x=6

So Hannah is 6 years old. Her sister must be 12.

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1) No; you are incorrect. "0" is NOT a solution.

Plug in "0" for "x" ;

8*0² + 23 =? 823? ;

8*0 + 23 =? 823? ;

0 + 23 = ? 823 ? ; No! ; "0 + 23 = 23 " ; NOT "823" .
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2) The answers: x = 10, -10 ; or, write as: x = ± 10 .
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To solve:

GIven: 8x² + 23 = 823 ;

Subtract "23" from EACH SIDE of the equation:
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8x² + 23 - 23 = 823 - 23 ;
to get:
8x² = 800 ;

Now, divide EACH SIDE of the equation by "8" ;

8x² / 8 = 800 / 8 ;

to get: x² = 100 ;

Take the "square root" of EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;

√(x²) = √(100) ;

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