Answer: 11 degrees
Step-by-step explanation:
Answer:
-5,-8
Step-by-step explanation:
The linear equation represents y = mx + b describes several real world situations such as
- Relation between printer and ink cartridges,
- Relationship between number of songs and how much is left on the card.
<u>Step-by-step explanation</u>:
Linear equations y = mx + b.
m is your rate of change.
b is your constant. This is the initial value of y. The value of y when x is 0.
Finally, y is the thing that depends on x.
Oh right, examples:
- I buy a printer for $100 and the ink cartridges cost $25 each. The relationship between ink cartridges and total cost.
total cost = 25(cartridges I buy) + 100 or y = 25x + 100
-
I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the number of songs I buy and how much is left on the card
amount left on card = -$1(songs bought) + 100 or y = -x +100
Answer:
C, 45 degrees
Step-by-step explanation:
Answer:
The solution is:
![-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A%5C%3A4r%2B2%5Cquad%20%5C%3A%3A%5Cquad%20%5C%3A%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-0.54545%5Cdots%20%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%5C%3A%2C%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5D%5Cend%7Bbmatrix%7D)
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
![-7r-4\ge \:4r+2](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A4r%2B2)
Add 4 to both sides
![-7r-4+4\ge \:4r+2+4](https://tex.z-dn.net/?f=-7r-4%2B4%5Cge%20%5C%3A4r%2B2%2B4)
Simplify
![-7r\ge \:4r+6](https://tex.z-dn.net/?f=-7r%5Cge%20%5C%3A4r%2B6)
Subtract 4r from both sides
![-7r-4r\ge \:4r+6-4r](https://tex.z-dn.net/?f=-7r-4r%5Cge%20%5C%3A4r%2B6-4r)
Simplify
![-11r\ge \:6](https://tex.z-dn.net/?f=-11r%5Cge%20%5C%3A6)
Multiply both sides by -1 (reverses the inequality)
![\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)](https://tex.z-dn.net/?f=%5Cleft%28-11r%5Cright%29%5Cleft%28-1%5Cright%29%5Cle%20%5C%3A6%5Cleft%28-1%5Cright%29)
Simplify
![11r\le \:-6](https://tex.z-dn.net/?f=11r%5Cle%20%5C%3A-6)
Divide both sides by 11
![\frac{11r}{11}\le \frac{-6}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B11r%7D%7B11%7D%5Cle%20%5Cfrac%7B-6%7D%7B11%7D)
Simplify
![r\le \:-\frac{6}{11}](https://tex.z-dn.net/?f=r%5Cle%20%5C%3A-%5Cfrac%7B6%7D%7B11%7D)
Therefore, the solution is:
![-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A%5C%3A4r%2B2%5Cquad%20%5C%3A%3A%5Cquad%20%5C%3A%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-0.54545%5Cdots%20%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%5C%3A%2C%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5D%5Cend%7Bbmatrix%7D)
Please check the attached line graph below.