the answer is a 0 slope since both points on the line are at the same plane
Answer:
Dimensions that minimize is; 20 ft x 100 ft
Step-by-step explanation:
Let the width and length be x and y respectively.
We are given area as 2000 Sq.ft.
Thus;
xy = 2000 - - - (eq 1)
We are told that the brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Thus;
C(x) = 20x + 4y
From eq(1),y = 2000/x
Thus;
C(x) = 20x + 4(2000/x)
C(x) = 20x + 8000/x
To minimize this, we will differentiate and equate to 0.
Thus;
C'(x) = 20 - 8000/x²
Equating to zeeo;
20 - 8000/x² = 0
20 = 8000/x²
20x² = 8000
Divide both sides by 20;
x² = 8000/20
x² = 400
x = √400
x = 20 ft
Putting 20 for x in eq 1,we have;
20y = 2000
y = 2000/20
y = 100 ft
Answer:
2220
Step-by-step explanation:
5 thanks
The top graph is your answer.
Note that pink = cherry, and yellow = lemon. The question states that for every 4 cherry sold, one lemon is, therefore making the ratio 4 cherry: 1 lemon.
The next question is asking that how much in total is sold if there are 30 more cherry cones sold.
Let the amount of lemon cones sold be denoted by the variable, x.
The amount of cherry cones would still sold would be 4:1, but the amount is 30 more then x.
Multiply both sides of the ratio given by 10:
4 x 10 = 40
1 x 10 = 10
The result will give you 30 more cherry cones, and also give you the total of 50 cones in all.
50.
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Answer:
The correct answer is NO.
Step-by-step explanation:
John is graphing two lines with equations say ax + by + c = 0 and dx + ey +f =0 on his graphing calculator.
For John to get a unique solution the coefficients should follow the following condition 
. So when he plots the lines he get an intersecting pair of lines.
For John to get no solution the coefficients should follow the following condition 
. When we plot in this case we get two parallel lines.
For John to get an infinite many solution the coefficients should follow the following condition 
. And when we plot the lines in this case we get one line superimposed on the other.
Since after graphing, John sees only one line, the lines must have superimposed on one another giving John an infinite number of solutions.
