Let f(x) = 4x – 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
1 answer:
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Answer:
a.)
b.)
c.) $
Step-by-step explanation:
a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:
Solve for h. Divide both sides by 7:
Sylvia worked 13 hours at a rate of $7 an hour.
b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:
Sylvia can work less than or equal to 15 hours per week.
c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:
The most money Sylvia can earn in a week is $105.
<em>Finito.</em>