First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.
Now we need to use the point (-2,0) to find the equation of the parallel line.
y-y=m(x-x)
Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
1 dozen = 12
First you would multiply.
3.25 x 12 = 39 cupcakes total
1/3 x 12 = 4 cupcakes with vanilla icing
Then you subtract.
39 - 4 = 35 cupcakes with chocolate icing
Then to get the answer back in to terms of dozens, divide by 12.
35/12 = 2 11/12
Hope this helped
Answer:
Given sum represents the area under the curve 
and above x-axis in the interval ![[0, \frac{\pi}{4} ]](https://tex.z-dn.net/?f=%5B0%2C%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5D)
Step-by-step explanation:
Using the tables to answer the question, the correct option is D.
Only table B represents a function
A relation/table will represent a function if each value of x is attached to a unique value of y.
That is, no value of x must be mapped to more than one value of y.
By considering the tables represented
Set A = {(-5, 2), (-8, 5), (-5, 8)}
As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.
Set B = {(-5, 2), (-8, 5), (-11, 2)}
As shown above, all values of x have different values of y. Therefore, table B represents a function.
Learn more here: brainly.com/question/25902874
Answers:
Three points that solve the equation: 
The graph is shown in the attached pictures.
NOTE: The first picture is the graph of the equation along with the plotted points, and the second one shows the work for those three points.
Step-by-step explanation:
1. To graph this equation, an easier way to do it would be to convert to slope-intercept form so we can graph knowing the y-intercept and the slope. Do this by isolating the y on the left side like so:
Remember that slope-intercept form is in y = mx + b format, and that m is the slope and b is the y-intercept. With this information, we know that (0, 
) is the y-intercept and 
is the slope of this equation. We can plot the point (0, ) on the graph, and then use the slope of from there to graph other points and form a line. (When I graphed the line, I didn't include these "other points" so it wasn't confusing to locate which points were the three solutions listed.)
2. Points that solve an equation - or solutions - are also points that the line of the equation intersects. So, what we can do is form a table, plug in some x values into the equation, and solve for a y-value. The x and y values will form a point that is on the graph, thus they are solutions. (Please look at the second picture for work and clarification.) After identifying these points, just plot them on the graph and label them (as shown in the first picture).
