Answer:
The volume of a box is:
V = 560 cubic inches or cubic inches.
Step-by-step explanation:
Given
The width of a box = w = 2 2/3 inches
i.e.
The length of a box = l = 3 1/3 inches
i.e.
The height of a box = h = 2 1/3 inches
i.e.
Using the formula to determine the volume of a box
substitute , and ,
Apply the fraction rule:
or cubic inches
Therefore, the volume of a box is:
V = 560 cubic inches or cubic inches.
Answer:
This expression does not factor. Neither can I solve it, because I can't plug in the values for x.
Each sticker costs 5 cents
Answer:
Step-by-step explanation:
In order to find the equation for these graphs, we have to note what forms a line.
The slope: Which is just the rise of the line over the run - how much it increases in y over how much it increases in x.
The y-intercept: Where does the graph intersect the y-axis?
Fortunately, there's a type of formula commonly used that includes both of these - slope-intercept form. It is written in the form , where m is the slope and b is the y-intercept.
<em>For number 1</em><em>:</em>
We can see that the graph intersects the y-axis at 1. So the y-intercept is 1, aka b = 1.
We can also see that for every 1 decrease in y, x increases by 2. <em>This is where the two dots come in useful</em>.<em> </em> This means our change in y is -1 and our change in x is 2. Since slope is rise over run, we can divide it.
Now that we know the slope and the y-intercept, we can plug these values into .
<em>For Number 2:</em>
Same logic applies. The graph intersects the y-axis at 0, so b = 0, aka we don't need to include that term in the end equation.
We can see that when x increases by 2, y increases by 3. Since the slope is rise over run, the slope is .
Hope this helped!