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Marta_Voda [28]
4 years ago
11

At 2pm the level of the water in the pool was 10 feet. At 6pm the level of water was 2 feet. Find the constant rate of the water

?
Mathematics
1 answer:
adelina 88 [10]4 years ago
7 0
Assuming that the pool was drained at a constant rate, the speed at which it was drained can be expressed as a function of time. In this case, the pool level will be expressed in feet per hour.

The time changed by 4 hours (6-2), and the level of the pool changed by -8 feet (2-10). Diving the feet by the hours to get the rate of decreasing depth, we find that the rate equals -2 feet/hour.
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Which table represents a linear function?
nalin [4]
The third one is linear because it goes down by -8 each time,
Hope this helps! :)
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3 years ago
<img src="https://tex.z-dn.net/?f=5%5Cfrac%7B42%7D%7B170%7D%20%20-%203%5Cfrac%7B80%7D%7B170%7D%20" id="TexFormula1" title="5\fra
Reika [66]

5\dfrac{42}{170}-3\dfrac{80}{170}=(5-3)+\left(\dfrac{42}{170}-\dfrac{80}{170}\right)\\\\=2+\left(-\dfrac{38}{170}\right)=2-\dfrac{32}{170}=1\dfrac{170}{170}-\dfrac{38}{170}\\\\=1\dfrac{170-38}{170}=1\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}


5\dfrac{42}{170}-3\dfrac{80}{170}=4\dfrac{170+42}{170}-3\dfrac{80}{170}\\\\=(4-3)+\left(\dfrac{212}{170}-\dfrac{80}{170}\right)=1+\dfrac{212-80}{170}\\\\=1+\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}

7 0
3 years ago
Dude help !!!!!!!!!!!
3241004551 [841]

it is option c, y=76x

8 0
3 years ago
Read 2 more answers
How do u show Ur work to the problem<br> -6p+8p=-16+4p
suter [353]
-6p+8p=-16+4p
Combine like terms
2p=-16+4p
-4p -4p
-2p=-16
/-2 /-2
P=8
4 0
3 years ago
Where do (3/2,-7) and (-4,5) intercept
Vinil7 [7]

Answer:

The intercept of the given points is -  \frac{41}{11}

Step-by-step explanation:

Given points as :

( x_1 , y_1 ) = ( \frac{3}{2} , - 7 )

( x_2 , y_2 ) = ( - 4 , 5 )

Now, slope of line using given points can be written as :

Slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}

or. m = \dfrac{5 - ( - 7 )}{( - 4 ) -  [tex]\frac{3}{2}}[/tex]

or, m = \dfrac{12}{( - 4 ) -  [tex]\frac{3}{2}}[/tex]

or, m = \frac{12}{\frac{- 8 - 3}{2}}

Or, m =  \frac{12}{\frac{- 11}{2}}

∴   m = \frac{-24}{11}

So, The slope of the line using points = m = \frac{-24}{11}

now, equation of line in slope intercept form can be written as

y - y_2 = m × ( x - x_2 )

or, y - 5 =  \frac{-24}{11} × ( x - ( - 4 ) )

or, y - 5 =  \frac{-24}{11} × ( x + 4 )

Or, 11 × ( y - 5 ) = - 24 × ( x + 4 )

Or, 11 y - 55 = - 24 x - 96

Or, 11 y = - 24 x - 96 + 55

Or, 11 y = - 24 x - 41

∴  y = \frac{-24}{11} x -  \frac{41}{11}

Now, comparing with slope intercept equation

I.e y = m x + c           , where c is the intercept

So, The intercept of points is  -  \frac{41}{11}

Hence The intercept of the given points is -  \frac{41}{11} Answer

3 0
3 years ago
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