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emmasim [6.3K]
3 years ago
11

2. An advertising firm has an old computer that can prepare a whole mailing in 6 hours. With

Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer:

The new model can do the entire work alone in 3 hours.

Step-by-step explanation:

Let us assume that the newer model of computer can complete the job alone in x hours.

Therefore, in one hour this new model can do \frac{1}{x} part of the job.

Again the old model can do the entire job alone in 6 hours,

So, in 1 hour the old model can do \frac{1}{6} part of the job.

Therefore, if they work together, then in 1 hour they will do (\frac{1}{6} +\frac{1}{x} )= \frac{x+6}{6x} part of the job.

So, the entire work they can do together in \frac{6x}{x+6} hours.

So, given that \frac{6x}{x+6}=2  

⇒ 6x = 2x + 12

⇒ x = 3 hours,

Therefore, the new model can do the entire work alone in 3 hours. (Answer)

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Answer:

\frac{y - 4}{x - ( -  3)}  =  \frac{8 - 4}{2  -  (-  3)}  \\  \frac{y - 4}{x + 3}  =  \frac{4}{5}  \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\  \boxed{4x - 5y + 32 = 0}

<h2>4x-5y+32=0 is the right answer.</h2>
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3 years ago
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2 years ago
Solve 6k + 9 &gt; k – 1.<br><br> k &gt; -3<br><br> k &gt; -5<br><br> k &gt; -4<br><br> k &gt; -2
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6 0
2 years ago
(-2x+y=8) minus (5x-y=6)
Hitman42 [59]

Answer:-7x+2y=2

Step-by-step explanation:

(-2x+y=8)-(5x-y=6)

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(-2x+y=8) - (-5x+y=-6)

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6 0
2 years ago
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What transformations change the graph of f(x) to the graph of g(x)?
Dennis_Churaev [7]

For this case we have that the main function is given by:

f (x) = - 7x ^ 2

We apply the following transformations:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

For a = 5 we have:

h (x) = 5 * f (x)\\h (x) = 5 * (- 7x ^ 2)\\h (x) = - 35x ^ 2

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 5 we have:

g (x) = h (x) + k\\g (x) = - 35x ^ 2 + 5

Answer:

The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.

3 0
3 years ago
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