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wariber [46]
2 years ago
15

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

Mathematics
1 answer:
HACTEHA [7]2 years ago
5 0

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

Read more about inequalities at:

brainly.com/question/25275758

#SPJ1

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Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2
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Answer:

x³ - (√2)x² + 49x - 49√2

Step-by-step explanation:

If one root is -7i, another root must be 7i.  You can't just have one root with i.  The other roos is √2, so there are 3 roots.  

x = -7i       is one root,

   (x + 7i) = 0    is the factor

x = 7i       is one root

  (x - 7i) = 0     is the factor

x = √2      is one root

    (x - √2) = 0   is the factor

So the factors are...

(x + 7i)(x - 7i)(x - √2) = 0

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(x + 7i)(x - 7i) =  x² + 7i - 7i - 49i²

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      x² + 49

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Now foil this out...

 x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0

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