Answer:
The difference is 
Step-by-step explanation:
We must find the common denominator of the fractions.
The common denominator of 
and 
is 
; therefore we have
now it is easy to subtract 
using the number line: we have to move units to the left in order to get to 
.
Thus our answer is
For the unit rate, you are looking for how much one unit of something costs. Looking at the table, you'll see that 3 bottles of fragrance A costs $78. What you want to figure out is how much one bottle costs.
You can do this by taking the price and dividing it by how many there are.
78 ÷ 3 = $26
156 ÷ 6 = $26
234 ÷ 9 = $26
You can see that each bottle of fragrance A costs $26.
Now looking at the graph, you'll see that the line only lines up perfectly at 2 points: (1, 24) and (2, 48). This tells us that for each bottle of fragrance B, it costs $24.
Comparing the two, fragrance A will have the greatest unit rate.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
x = (6 - y)÷ 3
Step-by-step explanation:
3x + y = 6
3x = 6 - y
x = 6 - y ÷ 3
