The area of a tabletop is 48 square feet. the length is 3 times the width.if the dimensions are whole numbers, what is the width
1 answer:
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Answer:
Table C
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
Find the value of the constant of proportionality in each table
Table A
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
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For ------>
For ------>
This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
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This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
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This table has different values of k
therefore
the table D does not represent a proportional relationship
Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.
