What is the answer to this?
1 answer:
Answer:
(c) III
Step-by-step explanation:
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
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<h3>I. </h3>2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)
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<h3>II.</h3>x +2 = 15x +10 +2x . . . . eliminate parentheses
x +2 = 17x +10 . . . . one solution (x=-1/2)
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<h3>III.</h3>4 +6x = 6x +4 . . . . eliminate parentheses
6x +4 = 6x +4 . . . . infinite solutions
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<h3>IV.</h3>6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)
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ANSWER
EXPLANATION
The general term for the sequence is
To find the 55th term, we have to substitute
in to the general term and simplify.
This implies that,
Therefore the 55th term is 161.
EXPLANATION
The general term for the sequence is
To find the 55th term, we have to substitute
in to the general term and simplify.
This implies that,
Therefore the 55th term is 161.
Find a line going through the point
(0, -7/5) and perpendicular to the equation 3x - 2y = 6.
3x - 2y = 6
-2y = -3x + 6
y = (3/2)x - 3
The slope of the equation we seek must be the negative reciprocal of (3/2), which is -2/3.
So, m = -2/3
Use the point-slope formula. See the picture.
(0, -7/5) and perpendicular to the equation 3x - 2y = 6.
3x - 2y = 6
-2y = -3x + 6
y = (3/2)x - 3
The slope of the equation we seek must be the negative reciprocal of (3/2), which is -2/3.
So, m = -2/3
Use the point-slope formula. See the picture.