Answer:
B, C
Step-by-step explanation:
7 - x = 18
A.
7 - 2x = 18 - x
126 - 14x = 324 - 18x
We are nowhere near the solution.
B.
-x = 11
x = -11
This works.
C.
7 = x + 18
-11 = x
This works.
D.
25 - x = 36
-25 + x = -36
This does not help.
E.
7 = x + 18
0 = x + 11
We still do not have a solution.
Answer: B, C
So,
720 pt./hr.
2 pt. = 1 qt.
720/2 = 360
360 qt./hr.
Now, since there are 60 mins. in 1 hr., multiply the number by 60.
360(60) = 21600
720 pt./hr. = 21,600 qt./min.
Answer:
We conclude that:
![\mathrm{Domain\:of\:}\:-720t+3600\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:](https://tex.z-dn.net/?f=%5Cmathrm%7BDomain%5C%3Aof%5C%3A%7D%5C%3A-720t%2B3600%5C%3A%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-%5Cinfty%20%5C%3A%3Ct%3C%5Cinfty%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
Please also check the attached graph.
Step-by-step explanation:
Given
Given the function
![y=-720t\:+\:3600](https://tex.z-dn.net/?f=y%3D-720t%5C%3A%2B%5C%3A3600)
To determine
What is the domain of the function y=-720t + 3600
We know that the domain of the function is the set of input argument values for which the function is real and defined.
Given the function
![y=-720t\:+\:3600](https://tex.z-dn.net/?f=y%3D-720t%5C%3A%2B%5C%3A3600)
From the given function, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain of the function is
![-\infty \:](https://tex.z-dn.net/?f=-%5Cinfty%20%5C%3A%3Ct%3C%5Cinfty%20%5C%3A)
Thus, we conclude that:
![\mathrm{Domain\:of\:}\:-720t+3600\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:](https://tex.z-dn.net/?f=%5Cmathrm%7BDomain%5C%3Aof%5C%3A%7D%5C%3A-720t%2B3600%5C%3A%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-%5Cinfty%20%5C%3A%3Ct%3C%5Cinfty%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
Please also check the attached graph.
Taking 30% percent of something is the same as multiplying by .3
so, .3*20 = 6
Answer:
x = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given function;
y = 5 + x - x²
To find the maximum value, follow these steps
(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;
=
= ![\frac{d(5 + x - x^2)}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%285%20%2B%20x%20-%20x%5E2%29%7D%7Bdx%7D)
= ![1 - 2x](https://tex.z-dn.net/?f=1%20-%202x)
(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.
x for which
1 - 2x = 0
=> 1 = 2x
=> x = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Therefore, the value of x for which the function is maximum is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)