Answer: The answer is 0.8 liters of water.
Step-by-step explanation: Well there are 5 cats and each cat drinks .15 liters per day. .15x5 = .75 liters of water. 1.55 liters - .75 liters = 0.8 liters left.
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(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}}} }}
The solution is in the picture
<em><u>Complete Question:</u></em>
The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?
<em><u>Answer:</u></em>
The numerator of fraction is -360
<em><u>Solution:</u></em>
Given that,
<em><u>The equation represents the angle measures, a, in a regular n-sided polygon is:</u></em>
![a = \frac{180(n - 2)}{n}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B180%28n%20-%202%29%7D%7Bn%7D)
We have to solve the equation for "n"
Rearrange the equation
![a \times n = 180(n - 2)\\\\a \times n = 180n - 360\\\\an - 180 n = -360\\\\Take\ n\ as\ common\ factor\\\\n(a-180) = -360\\\\n = \frac{-360}{a - 180}](https://tex.z-dn.net/?f=a%20%5Ctimes%20n%20%3D%20180%28n%20-%202%29%5C%5C%5C%5Ca%20%5Ctimes%20n%20%3D%20180n%20-%20360%5C%5C%5C%5Can%20-%20180%20n%20%3D%20-360%5C%5C%5C%5CTake%5C%20n%5C%20as%5C%20common%5C%20factor%5C%5C%5C%5Cn%28a-180%29%20%3D%20-360%5C%5C%5C%5Cn%20%3D%20%5Cfrac%7B-360%7D%7Ba%20-%20180%7D)
Thus the numerator of the fraction is -360