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Hitman42 [59]
3 years ago
12

What is the simplified form of the quantity 4 z squared plus 16z plus 15 over the quantity 2 z squared minus z minus 15?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

Answer:

C. 2z + 3 / z - 3

Step-by-step explanation:

Just took the test and got 100%

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If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)
sweet-ann [11.9K]

Answer:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9

Step-by-step explanation:

Given

tan\theta = 3

Required

Find

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)

Calculate tan(\theta + \pi) \ and\ tan(\theta+2\pi)

Using tan rule

tan(\theta + \pi)  = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}

So:

tan(\theta + \pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + \pi)  = \frac{tan\theta}{1 }

tan(\theta + \pi)  = \tan\theta

tan(\theta+2\pi)

tan(\theta + 2\pi)  = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}

tan(\theta + 2\pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + 2\pi)  = \tan\theta'

'So:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = tan\theta +tan\theta +tan\theta

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9

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2 years ago
Christiana and Marlena opened their first savings accounts on the same day. Christiana opened her account with $55 and plans to
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Answer: it will take 4 months for the amount to be the same and the amount would be $95

Step-by-step explanation:

Let x represent the number if months it will take for the two accounts have the same amount of money.

Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be

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Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be

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For the amount in the accounts to be the same, the number of months would be

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15x - 10x = 55 - 35

5x = 20

x = 20/5

x = 4

The amount would be

15 × 4 + 35

= 60 + 35

= $95

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3 years ago
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An incentive clause in Barry Bonds contract allows for a 3.4% bonus if he hits over 719 home runs in this season. His contract i
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The bonus would be worth $493,000.

3.4% = 3.4/100 = 0.034; 3.4% of 14500000 = 0.034(14500000) = 493000.
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Step 1:Draw a line segment on your paper using a straightedge. Label the endpoints A and B.
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