Answer:
A. y+8=2(x-4)
Step-by-step explanation:
A line perpendicular to y=-1/2x+11 would have slope +2, which is the negative reciprocal of -1/2.
Starting with the slope-intercept form of the equation of a straight line, find the y-intercept based upon this new line's passing through (4, -8):
y = mx + b becomes -8 = 2(4) + b. Then b = -16, and the desired new line is
y = 2x - 16.
Eliminate answer choices B and C, because 1/2 is not the correct slope.
Choice A is correct. Note that the result of subbing 4 for x and -8 for y into A: y + 8 = 2(x - 4) is a true equation: -8 + 8 = 2(4 - 4)
Also note that y + 8 = 2(x - 4) can be written in slope-intercept form:
y = -8 + 2x - 8, or y = 2x - 16 (same as obtained earlier)
The right equations are a+c=30 (total number of people) and 8a+c=100 (total amount of money). So answers B and D cannot be right.
a+c=30 can be rewritten as c=30-a and filled into the second one:
8a + 30-a = 100 => 7a = 70 => a=10
That leaves answer A as the right one.
Step-by-step explanation:
4x-6x>-20+6
-2x>-14
x>7
Answer:
the answer might be either one of the four
Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
<u>x = 0</u>
y = 3·0 -14 = -14
<u>y = -8</u>
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
<u>x = 3</u>
y = 3·3 -14 = -5
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The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
_____
<em>Comment on the approach</em>
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
