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defon
3 years ago
12

A cleaning company charges a fee of &65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea

ning and let y represent the total charge. complete the fuction equation that relates the total charge to the number of hours spent cleaning.
y=________x + ________
Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0
Fee of $65
$10.50 per hour

'x' represents hours

Therefore we have:

y = 10.50x + 65

Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
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In how many different ways can someone arrange 6 books on a shelf
enot [183]
Number of ways = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
Number of ways = 720

------------------------------
Answer: 720 ways
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6 0
3 years ago
Read 2 more answers
3) Find the length of a rectangular lot with a perimeter of 92 m if the length is 8 m more than
Nikolay [14]

Answer:

26 m

Step-by-step explanation:

Perimeter = 92 m

Length = 8 m more than width

Width: 20 m

Therefore,

<h2>length=26 m</h2>
4 0
3 years ago
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statuscvo [17]

Answer:

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3 0
3 years ago
The function of f(x) = 3x + 2 has a domain of -3 &lt; x &lt; 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

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

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
What is the perimeter of a triangle with sides the following lengths: 3a + 2c,5c + 9 and 5a - 6. Simplify the expression.
Svetach [21]

Answer:

8a+7c-3

Step-by-step explanation:

8 0
3 years ago
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