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Scrat [10]
3 years ago
9

Solve for x: 3|x − 3| + 2 = 14

Mathematics
2 answers:
sammy [17]3 years ago
8 0
\left\{\begin{array}{ccc}a&for& a\geq0\\-a&for&a \ \textless \  0\end{array}\right \\\\3|x-3|+2=14\ \ \ |subtract\ 2\ from\ both\ sides\\\\3|x-3|=12\ \ \ \ |divide\ both\ sides\ by\ 3\\\\|x-3|=4\iff x-3=4\ or\ x-3=-4\ \ \ |add\ 3\ to\ both\ sides\\\\\boxed{x=7\ or\ x=-1}
alukav5142 [94]3 years ago
5 0

D.) x = −1, x = 7


Hope this helps...

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Answer:

science = \frac{4}{3} \ hours

English = \frac{8}{3} \ hours

Math = 4 hours

Step-by-step explanation:

let the number of hours spend on science = x

Hence the number of hours on English will be = 2x

Given that the number of hours spend on science is one third of the time spend on maths. Hence the time spend on math is 3 times that of the time spend on science. That the time spend on maths is = 3x

Hence the total time to study is

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Hence

x+2x+3x =8

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dividing both sides by 6

\frac{6x}{6}=\frac{8}{6}

x=\frac{8}{6}

x=\frac{4}{3}

Hence the number of hours foe studying science = \frac{4}{3}

Number of hours to study English = \frac{4}{3} \times 2=\frac{8}{3}

Number of hours to study Math= \frac{4}{3} \times 3=4

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