Answer:
x = -3
Step-by-step explanation:
Given expression is,
(4x - 6) - 4x² = -2x(2x - 3)
4x - 6 - 4x² = -4x² + 6x
4x - 6 = 6x
6x - 4x = -6
2x = -6
x = -3
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
1 answer:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment lists points on each graph.
a) The equation for a horizontal line is ...
y = constant
Here, the output value is always 5, so that is the constant in the equation:
y = 5
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b) The graph is a straight line through the origin, so the equation is that of a proportion:
y = kx . . . . . for some constant of proportionality k
Using the point (x, y) = (-4, 2), we can find k from ...
k = y/x = 2/(-4) = -1/2
The equation of the line is ...
y = -1/2x
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c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...
m = rise/run = 3/1 = 3
The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...
y = mx + b . . . . . for slope m and y-intercept b
y = 3x - 2
_____
You can check that the equation is satisfied by each of the points listed. For example, ...
a) in = -4, out = y = 5 . . . matches table
b) in = 2, out = y = -1/2(2) = -1 . . . matches table
c) in = 1, out = y = 3(1) -2 = 1 . . . matches table
(You can check the other table values.)
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Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).
<h3>What is the midpoint concept?</h3>The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
The center is the midpoint of the two coordinates of the diameter, hence:
For the x-coordinate:
x + 0.5 = -6
x = -6.5
For the y-coordinate:
y + 6 = 6
y = 0
More can be learned about the mid-point concept at brainly.com/question/10956693
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