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pickupchik [31]
3 years ago
5

Logx + log(3x-13) = 1

Mathematics
1 answer:
Tom [10]3 years ago
8 0
X = 5
Condense the left side.
log x(3x-13)=1
Put a base 10 on each side to clear the log.
x(3x-13)=10
3x^2-13x-10=0
Factoring you get x=5 and x=-2/3. The domain for log is x>0 so the -2/3 is an extraneous solution.
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The jelly beans cost $2.25 / pound

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Step-by-step explanation:

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4 years ago
Read 2 more answers
Steven Kellogg, a machine operator, works at an hourly rate of $10.60 and
il63 [147K]

Answer:

Straight\ Time\ Pay = \$392.2

Overtime\ Pay = \$42.4

Total = \$434.6

Step-by-step explanation:

Given

Hourly Rate = $10.60

Overtime = half hourly rate

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Overtime = 8 hours

Calculating the Straight Time Pay

Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked

Straight\ Time\ Pay = 37 * \$10.60

Straight\ Time\ Pay = \$392.2

Calculating the Overtime Pay

Overtime\ Pay = Overtime\ Rate * Overtime\ Hours

<em>Since, overtime rate is half of hourly rate; we have</em>

Overtime\ Pay = \frac{\$10.6}{2} * 8

Overtime\ Pay = \$5.3 * 8

Overtime\ Pay = \$42.4

Calculating Total Pay

This is calculated by adding results in (i) and (ii)

Total = Straight\ Time  + Overtime

Total = \$392.2  + \$42.4

Total = \$434.6

7 0
3 years ago
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