Answer
X-2y = 2
3x + y = 6
Ox=-2
Ox=0
Ox=2
Ox=3
= 0
Step-by-step explanation:
easy
Answer:
1. Slope-intercept form: ![y = 2x - 4](https://tex.z-dn.net/?f=y%20%3D%202x%20-%204)
Standard form: ![2x - y = 4](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%204)
2. Slope-intercept form: ![y = \dfrac12x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac12x%20-%201)
Standard form: ![x - 2y = 2](https://tex.z-dn.net/?f=x%20-%202y%20%3D%202)
3. Slope-intercept form: ![y = \dfrac45x + \dfrac{21}{5}](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac45x%20%2B%20%5Cdfrac%7B21%7D%7B5%7D)
Standard form: ![4x -5y = - 21](https://tex.z-dn.net/?f=4x%20-5y%20%3D%20-%2021)
Step-by-step explanation:
Slope intercept form: ![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
where:
= y-coordinate
= slope
= x-coordinate
= y-intercept
Standard form: ![Ax + By = C](https://tex.z-dn.net/?f=Ax%20%2B%20By%20%3D%20C)
![\textsf{1. as} \ m=2: \ \ y = 2x + b](https://tex.z-dn.net/?f=%5Ctextsf%7B1.%20%20as%7D%20%5C%20m%3D2%3A%20%5C%20%5C%20y%20%3D%202x%20%2B%20b)
![\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b](https://tex.z-dn.net/?f=%5Ctextsf%7Bat%7D%20%5C%20%20%286%2C%208%29%3A%20%5C%20%5C%208%20%3D%202%286%29%20%2B%20b)
![\implies b = -4](https://tex.z-dn.net/?f=%5Cimplies%20b%20%3D%20-4)
Slope-intercept form: ![y = 2x - 4](https://tex.z-dn.net/?f=y%20%3D%202x%20-%204)
Standard form: ![2x - y = 4](https://tex.z-dn.net/?f=2x%20-%20y%20%3D%204)
![\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b](https://tex.z-dn.net/?f=%5Ctextsf%7Bat%7D%20%5C%20%20%284%2C%201%29%3A%20%5C%20%5C%201%20%3D%20%5Cdfrac12%284%29%20%2B%20b)
![\implies b = -1](https://tex.z-dn.net/?f=%5Cimplies%20b%20%3D%20-1)
Slope-intercept form: ![y = \dfrac12x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac12x%20-%201)
Standard form: ![x - 2y = 2](https://tex.z-dn.net/?f=x%20-%202y%20%3D%202)
![\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b](https://tex.z-dn.net/?f=%5Ctextsf%7B3.%20%20as%7D%20%5C%20%20%5C%20m%20%3D%20%5Cdfrac45%3A%20%5C%20%5C%20y%20%3D%20%5Cdfrac45x%20%2B%20b)
![\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b](https://tex.z-dn.net/?f=%5Ctextsf%7Bat%7D%20%5C%20%20%281%2C5%29%3A%20%5C%20%5C%205%20%3D%20%5Cdfrac45%281%29%20%2B%20b)
![\implies b = \dfrac{21}{5}](https://tex.z-dn.net/?f=%5Cimplies%20b%20%3D%20%5Cdfrac%7B21%7D%7B5%7D)
Slope-intercept form: ![y = \dfrac45x + \dfrac{21}{5}](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac45x%20%2B%20%5Cdfrac%7B21%7D%7B5%7D)
Standard form: ![4x -5y = - 21](https://tex.z-dn.net/?f=4x%20-5y%20%3D%20-%2021)
Answer:
hope this helps!
Step-by-step explanation:
You have to divide:
1.9x10^-8 ÷ (4.2x10^-13)
= appr .45 x 10^5
= .45 x 100000
= appr 45,000 times as large
source: https://www.jiskha.com/questions/1857280/estimate-how-many-times-larger-1-9x10-8-is-than-4-2x10-13
credit: mathhelper
If x is the number of berries you can buy with 1 dollar,
1 pound of blueberries = $4.00
x pound of berries = $1.00
Lets set up a proportion- because these are directly proportional- when there is more pounds of berries, it will cost more.
![\frac{1}{4.00} = \frac{x}{1.00}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4.00%7D%20%3D%20%5Cfrac%7Bx%7D%7B1.00%7D)
Cross multiply
4x=1
Divide both sides by 4 to isolate x
x=1/4 or $0.25