Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
Answer:
The total cost of 5 pillows and 7 sheets is $205.345
Step-by-step explanation:
Let x be the price of pillow case
We are given that the price of the pillows is 3 times as much as the price of a pillow case
Price of pillow = 3x
Price of 2 pillows = 2(3x)=6x
Price of 3 pillow case = 3x
At a store, 2 pillows and 3 pillow cases together cost $73.08.
So, 6x+3x=73.08
9x=73.08

x=8.12
So, Price of 1 pillow case = 8.12
Price of 1 pillow = 3x=3(8.12)=24.36
Price of 3 pillow =3(24.36)=73.08
Let y be the cost of 1 sheet
The total cost of 3 pillows and 4 sheets is $120.82
So, 73.08+4y=120.82

y=11.935
Price of 1 sheet = 11.935
Price of 7 sheets = 7(11.935)=83.545
Price of 5 pillows =5(24.36)=121.8
So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345
Hence the total cost of 5 pillows and 7 sheets is $205.345
Answer:
No. The results of the survey cannot be generalized to the population of all customers of the shopping mall.
Step-by-step explanation:
Survey results are biased, because data is collected from customers who came trough one specific door of the mall.
Some of the customers <em>may be using some other door </em>where satisfaction survey is not given to these people while passing the door.
Therefore survey results does not reflect thoughts of the population of all customers.