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kodGreya [7K]
3 years ago
11

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How f

ast was the pipe leaking in gallons per day? Round to the nearest tenth
Mathematics
1 answer:
netineya [11]3 years ago
6 0
Here's what you need to know in order to answer this:

       1 gallon  =  128 fl oz
and      
       1 day  =  24 hours. 
    
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.

                  (11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)

               = (11 x 24 x 1 / 128)  (fl-oz - hr - gal) / (hr - da - fl-oz)

               =         2.0625                        gal/da 
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G(x) = -3x<br> f(x)=x+3<br> Find g(f(5))
never [62]

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To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

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= 3x + 2 – 4 + 5x

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(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

​

)(x)=

g(x)

f(x)

​

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

​

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(

g

f

​

)(x)=

4−5x

3x+2

​

Step-by-step explanation:

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