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Marianna [84]
3 years ago
14

| 19 − 20x | − |20 − 19x |− |x − 10|, if x > 100

Mathematics
1 answer:
denpristay [2]3 years ago
4 0

Answer:

11

Step-by-step explanation:

since x>100, then 19-20x and 20-19x would obviously be negative and x-10 would be positive.

Therefore we have (20x-19)-(19x-20)-(x-10) = 20x-19-19x+20-x+10 = 11

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x = \frac{1 \pm  \sqrt{253} }{14}   Split up the \pm
x = \left \{ {{ \frac{1 +  \sqrt{253} }{14} } \atop { \frac{1 -  \sqrt{253} }{14} }} \right.
The approximate square root of 253 is <span>15.905973.
</span>x ≈ \left \{ { \frac{1 + 15.905973}{14} } \atop { \frac{1 - 15.905973}{14} }} \right   Add and subtract
x ≈ \left \{ {{ \frac{16.905973}{14} } \atop { \frac{14.905973}{14} }} \right.   Divide
x ≈ \left \{ {{1.2075} \atop {1.0647}} \right.   Round to the nearest hundredth
x ≈ \left \{ {{1.21} \atop {1.06}} \right.

<span>
</span>
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