Answer: y= -1/2x + 5/2
Step-by-step explanation:
3x = 15 -6y
+6y + 6y
3x +6y =15
-3x -3x
6y= 15-3x divide both sides by 6
y= 15/6 - 3/6x
in slope intercept form us y= -3/6x + 15/6 in simplest form is y= -1/2x + 5/2
For this case, we observe that the dispersion diagram has a behavior similar to a straight line.
we observe that as the values of x increase, the values of y decrease.
Therefore, the line is of negative slope.
Answer:
Linear
option C
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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There are, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So there are 720 possible combinations.
