Part 1/
5 + x - 14 = x - 7
We’ll cancel (X) from both sides;
5 - 14 = -7
-9 = -7
Since, -9 = -7 is False, there is no solution.
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Part2/
If we use x = -2, 0, 3
1) Case of X = -2
5 + (-2) - 14 = (-2) - 7
5 - 2 - 14 = -2 - 7
3 - 14 = -9
-11 = -9 .... False / No Solution
2) Case of X = 0
5 + (0) - 14 = (0) - 7
5 - 14 = -7
-9 = -7 ... False / No Solution
3) Case of X = 3
5 + (3) - 14 = (3) - 7
8 - 14 = -4
-6 = -4 ... False / No Solution
Answer: The answer is: f(x) = 2x^2 + 40x + 200
Explanation:
Given: x is the width of the Artwork
Let W be the Width of the Frame
Let L be the Length of the Frame
Width = x + 10
Length = Width * 2, so by substitution, Length = 2(x + 10)
Area = Width * Length
By substitution:
Area = (x + 10) * 2(x + 10)
f(x) = (x + 10) * (2x + 20)
f(x) = 2x^2 + 20x + 20x + 200
f(x) = 2x^2 + 40x + 200
To test this, if a picture 8" wide is put in this frame, the width would be 8+10 or 18 inches. The length would be twice the width, or 36 inches. The Area is 18 x 36 = 648.
Using the formula:
f(8) = (2 * 8^2) + (40 * 8) + 200
f(8) = (2 * 64) + 320 + 200
f(8) = 128 + 320 + 200
f(8) = 648
The correct answer is C: the land has minimal capacity to feed the population
The answer is C, although the other options are important as well, in this case, C is the answer you are looking for
