You multiply them just as you would multiply any normal polynomials, except there is a special rule. Since we know that i = √-1, the rule is that i² = -1. So, let's multiply:

$(9-4i)(8+6i) = 72+54i-32i-24i^2$

Let's simplify this:

$72+22i+(-24*-1)$

$72+22i+24 = 96+22i$

Therefore, your answer is 96 + 22i.

6 0

3 years ago

5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.

HACTEHA [7]

Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

<h3>How to graph the inequality?</h3>

Let x represents hours babysitting and y represents hours tutoring

So, we have:

Earnings = Rate of babysitting * x + Rate of tutoring* y

This gives

Earnings = 5x + 10y

He wants to earn at least $95.

This means that:

5x + 10y ≥ 95

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)

This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours