Hope this helps you and good-luck
Answer:
19x - 5y - 6
Hope this helped
Step-by-step explanation:
You start by simplifying each expression, you will be distributing the number outside the parentheses on each number inside the parentheses
1/2(30x+4y-14)
1/4(16x -28 +4)
leaving you with
15x + 2y - 7 + 4x - 7y + 1
combine the x's y's and the singular numbers
19x - 5y - 6
Brainliest?
Answer:
![\large\boxed{\dfrac{27}{80}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B27%7D%7B80%7D%7D)
Step-by-step explanation:
Put x = 3, y = 2 and z = 5 to the given expression
:
![10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}](https://tex.z-dn.net/?f=10%283%5E3%29%282%5E%7B-5%7D%29%285%5E%7B-2%7D%29%5Cqquad%5Ctext%7Buse%7D%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%3D%5Cdfrac%7B10%2827%29%7D%7B%282%5E5%29%285%5E2%29%7D%3D%5Cdfrac%7B270%7D%7B%2832%29%2825%29%7D%3D%5Cdfrac%7B270%7D%7B800%7D%3D%5Cdfrac%7B27%7D%7B80%7D)
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.
Please see the attached picture for the work.
51 minutes is the longer time.
34 minutes for the other machine.
![\boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%2Bg%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D-x-%5Cfrac%7B23%7D%7B6%7D%7D)
<h2>
Explanation:</h2>
We are given two functions:
![f(x)=\frac{1}{4}x-4 \\ \\ g(x)=\frac{1}{6}-x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B4%7Dx-4%20%5C%5C%20%5C%5C%20g%28x%29%3D%5Cfrac%7B1%7D%7B6%7D-x)
So, we have to find
which is the sum of these two functions:
![f(x)+g(x)=\frac{1}{x}-4+\frac{1}{6}-x \\ \\ \\ Let's \ call \ h(x)=f(x)+g(x) \\ \\ Simplifying: \\ \\ h(x)=\left(\frac{1}{x}-x)+(-4+\frac{1}{6}) \\ \\ \\ \\](https://tex.z-dn.net/?f=f%28x%29%2Bg%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D-4%2B%5Cfrac%7B1%7D%7B6%7D-x%20%5C%5C%20%5C%5C%20%5C%5C%20Let%27s%20%5C%20call%20%5C%20h%28x%29%3Df%28x%29%2Bg%28x%29%20%5C%5C%20%5C%5C%20Simplifying%3A%20%5C%5C%20%5C%5C%20h%28x%29%3D%5Cleft%28%5Cfrac%7B1%7D%7Bx%7D-x%29%2B%28-4%2B%5Cfrac%7B1%7D%7B6%7D%29%20%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C)
![Finally: \\ \\ \boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}](https://tex.z-dn.net/?f=Finally%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Bf%28x%29%2Bg%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D-x-%5Cfrac%7B23%7D%7B6%7D%7D)
<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
#LearnWithBrainly