<span>The answer is that x = 21/9.
Start with the original: 4(2x - 1) - 7 = 4 - x + 6
Now distribute the 4:</span> <span> 8x - 4 - 7 = 4 - x + 6.
Now combine the like terms. 8x - 11 = -x + 10.
Now add x to both sides. 9x - 11 = 10.
Now add 11 to both sides. 9x = 21.
And divide by 9 on both side. x = 21/9. </span>
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Answer: Exam A
Step-by-step explanation:
We must analyze how far are you from the mean in both cases, where the "step" that we will use to measure is the standard deviation.
In exam A, the mean is 20.5 and the standard deviation is 4.9.
If you scored a 27; then you need to see:
20.5 + 4.9 = 25.4
20.5 + 4.9 + 4.9 = 30.3
So you are within two times the standard deviation (more than the mean).
In the B exam, the mean is 1022 and the standard deviation is 214, where you scored 1209.
1022 + 214 = 1236
So in this exam, you are by one standard deviation away from the media.
With this, you can see that you did score better in exam A.
Answer:
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Step-by-step explanation:
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Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
