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olya-2409 [2.1K]
3 years ago
10

What is the inverse of y = 3x + 9? A. y= 1/3x - 3 B. y = 1/3x + 9 C. y = -1/3x - 3 D. y = 9x + 3

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

1/3x - 3

Step-by-step explanation:

To find the inverse, we exchange x and y and then solve for y

y =3x+9

Exchange x and y

x = 3y+9

Then solve for y

Subtract 9 from each side

x-9 =3y+9-9

x-9 = 3y

Divide by 3

1/3(x-9) = 3y/3

1/3(x-9) = y

Distribute

1/3x-3 = y

The inverse is 1/3 x -3

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Answer:

  75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

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Its area is

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The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

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The total net area is the sum of the areas of the parts:

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Step-by-step explanation:

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A mobile phone plan has a base fee of $50 per month. The monthly cost increases by $10 for every gigabyte of data used. Let c re
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Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor
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<h3>The total money earned by Rita on Monday   = $158</h3>

Step-by-step explanation:

The rate by which  Rita is paid first 8 hours  = $16

The next per hour rate after 8 hours = 1\frac{1}{2}    = 1.5 times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 =  $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

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So, the number of hours worked  =  45 minutes + 45 minutes  + 3 hours  

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(b) break of 45 minutes after 12: 45  = 12: 45 + 45 minutes  

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So, she started working at 1: 30 and worked till 6: 15

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So, by adding (1) and (2) the total hours worked by Rita  

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So, the payment is ( 8 x (16) +  1.25 (24) )  

= 128 +  30  = 158

Hence, the total money earned by Rita  = $158

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4 years ago
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