12x>9 (2x-3)-15 solve for x and show steps please.
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
a) Cost of hiring the bicycle for 14 days is:
Cost = 65 * 14 days + 44 = 954 riyals
b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:
Cost of bicycle = 65 * x + 14 = 65x + 44
Cost of helmet = 12.5 * x = 12.5x
Total cost = 65x + 44 + 12.5x = 77.5x + 44
Since 750 riyals is available, hence:
750 = 77.5x + 44
77.5x = 706
x = 9.11
Therefore the maximum number of days is 11. The total cost for 11 days is:
Total cost = 77.5(9) + 44 = 741.5 riyals
Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals
1 step (B): raise both sides of the equation to the power of 2.
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2 step (A): simplify to obtain the final radical term on one side of the equation.
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3 step (F): raise both sides of the equation to the power of 2 again.
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4 step (E): simplify to get a quadratic equation.
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5 step (D): use the quadratic formula to find the values of x.
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6 step (C): apply the zero product rule.
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Additional 7 step: check these solutions, substituting into the initial equation.