1.) Factor 9u^2-12u
![\frac{3u(3u-4)}{3u}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3u%283u-4%29%7D%7B3u%7D%20)
2.) Cancel any common factors (in bold will be the terms eliminated)
![\frac{3u(3u-4)}{3u}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%3Cstrong%3E3u%3C%2Fstrong%3E%283u-4%29%7D%7B%3Cstrong%3E3u%3C%2Fstrong%3E%7D%20)
Final answer is:
3u-4
Therefore, the answer is
C. 3u-4
Answer:
y=-3.571
Step-by-step explanation:
To get rid of the x's make the other x cancel out the other.
5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571
Answer:
Graph is attached below
Step-by-step explanation:
Intercepts are values of x and y at which the graph of the function intersects coordinate axis.
Given equation,
![y=-\frac{1}{2}x - 3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%20-%203)
For x-intercept,
y = 0,
![\implies 0 =-\frac{1}{2}x - 3](https://tex.z-dn.net/?f=%5Cimplies%200%20%3D-%5Cfrac%7B1%7D%7B2%7Dx%20-%203)
![3 =-\frac{1}{2}x](https://tex.z-dn.net/?f=3%20%3D-%5Cfrac%7B1%7D%7B2%7Dx)
![\implies x =-6](https://tex.z-dn.net/?f=%5Cimplies%20x%20%3D-6)
Thus, x-intercept is at (-6, 0)
For y-intercept,
x = 0,
![\implies y =-\frac{1}{2}(0) - 3=-3](https://tex.z-dn.net/?f=%5Cimplies%20y%20%3D-%5Cfrac%7B1%7D%7B2%7D%280%29%20-%203%3D-3)
Thus, y-intercept is at (0, -3)
Now, join these two points to show the line in coordinate plane.
Answer:
3 pencils
Step-by-step explanation:
We are given Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
Number of pencils=72
Number of calculators=24
If Zayed creates the greatest number of identical packages
Then , we find GCF of 72 and 24
![72=2\times 2\times 2\times 3\times 3](https://tex.z-dn.net/?f=72%3D2%5Ctimes%202%5Ctimes%202%5Ctimes%203%5Ctimes%203)
![24=2\times 2\times 2\times 3](https://tex.z-dn.net/?f=24%3D2%5Ctimes%202%5Ctimes%202%5Ctimes%203)
GCF=![2\times 2\times 2\times 3](https://tex.z-dn.net/?f=2%5Ctimes%202%5Ctimes%202%5Ctimes%203)
Hence, Zayed creates 24 packages.
Number of pencils in each package=![\frac{72}{24}=3](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B24%7D%3D3)
Hence, 3 pencils and one calculator will be in each package .
Answer:
The correct answer is B) 1/9
Step-by-step explanation:
In order to find this answer, you need to take the fraction that answered it on the first try and subtract the number that changed their mind.
5/18 - 1/6
In order to complete this operation, you need to give them common denominators.
5/18 - 3/18 = 2/18
And we can simplify that answer.
2/18 = 1/9