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Veronika [31]
3 years ago
8

juilo is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35hours and e

arned $436.60.Write and solve an equation to find julios's normal hourly rate. explain how you know your answer is reasonable.
Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0
Let x be Juilo's normal hourly rate.

so for the 35 hr week  we have:-

30x + 5*1.4x = 436.60

37x = 436.60

x = 436.60 / 37 =  $11.80

His normal hourly rate = $11.80


So for a 30 hr week he will earn 11.80 * 30  =  $354

So  the  amount $436.60  is a reasonable figure for  a 35 hr week.
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Is (a-3)(2a^2 + 3a + 3) equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
vovikov84 [41]
<h3>Answer: Yes they are equivalent</h3>

==============================================

Work Shown:

Expand out the first expression to get

(a-3)(2a^2 + 3a + 3)

a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)

2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9

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Divide every term by 2 so we can pull out a 2 through the distributive property

2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)

This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)

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3 years ago
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AfilCa [17]

Answer:

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Step-by-step explanation:

The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.

Therefore, (x + 2)² and (x - 3) are the factors of the equation.

Let the polynomial is

P(x) = a(x + 2)²(x - 3) ........... (1)

Now, the polynomial passes through the point (2,80).

So, from equation (1) we gat,

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3 years ago
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so, my choice would be

4/5

5/6

6/7

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10/11

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Answer:

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Step-by-step explanation:

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