stephanie has 3 3/4 bags of soil to put in her garden. each bag of soil will cover 125.3 ft2. how many square feet will stephani
1 answer:
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Answer:
Let x represent the smaller number and y represent the larger number
<u>For the first equation </u>
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
<u>For the second equation</u>
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
<h3>y = 2x + 7</h3>Hope this helps you
Answer:
Linear function with rate of change/growth = 2.5, which agrees with the fourth statement listed in the answers options.
Step-by-step explanation:
Notice that both columns of reported x and y values are increasing.
Then examine how the given x-values increase:
-2, 2, 6, 10, 14 (in steps of 4 units)
and how their corresponding y-values increase:
-2, 8, 18, 28, 38 (in steps of 10 units)
therefore, if we do the rate of change for any pair and
, we get the following constant rate of change:
Given that this relationship is valid for any pair of (x,y) values. we conclude that the rate of increase is constant, and therefore we are in the presence of a linear function, whose rate of change is 2.5
The two inequalities can be rewritten as
The solution is composed by every point below the graph of the line , and above the horizontal line
To draw the line we can build a little table (only 2 points are required):
So, if you draw the points (0,2) and (1, -2) and connect them, you'll have your line.
To draw the line , simply pick any point with y coordinate -2, for example (0, -2), and draw a horizontal line.
Choose the above/below areas as specified above to solve the system.
