K/5 + 3 - 3k = -6k
Steps
Subtract 3 from both sides
k/5 + 3 - 3k - 3 = -6k - 3
Then simplify,
k/5 - 3k = -6k - 3
Add 6k to both sides
k/5 - 3k + 6k = -6k - 3 + 6k
Simplify,
k/5 + 3k = -3
Next, multiply both sides by 5
k/5 * 5 + 3k * 5 = -3 * 5
So,
k + 15k = -15
16k = -15
Then, divide both sides by 16
16k/16 = -15/16
Simplify,
k = -15/16
The answer is A. It is less than or equal to because the line is solid instead of dashed. It is less than because the shaded portion is below the line.
Answer:
15/2
Step-by-step explanation:
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Answer:
36. m = (3/2)n
37. s = 5tv
38. c = 3/d
Step-by-step explanation:
Each of the variations in these problems has its own associated equation. You only need to make use of the given values to find the constant of variation (k) and fill in the equation.
- direct variation: y = kx; k = y/x
- joint variation: z = kxy; k = z/(xy)
- inverse variation: y = k/x; k = xy
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36. The constant for direct variation is the ratio of the given values:
k = m/n = 18/12 = 3/2
Then the equation for the direct variation is ...
m = (3/2)n
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37. The constant for the joint variation is the expression ...
k = s/(tv) = 8/((4/5)·2) = 8/(8/5) = 8·5/8 = 5
Then the equation for the joint variation is ...
s = 5tv
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38. The constant for the inverse variation is the product of the given values:
k = cd = (1/4)(12) = 3
Then the equation for the inverse variation is ...
c = 3/d
