Answer:
y = -2x
Step-by-step explanation:
For direct variation: y = kx, where k is the constant of proportionality.
Given that Y equals -12 when x equals 6, we have -12 = k(6). Solve this for k by dividing both sides by 6:
k = -12/6 => k = -2
Then the "direct variation equation" here is y = -2x.
Each of the equations can be solved as shown below:
a. 
(<em>addition property of equality</em>)
(<em>Subtraction property of equality</em>)
<em> (Division property of equality)</em>
<em />
b. 
<em>Add like terms </em>
<em />
(<em>Subtraction property of equality</em>)
<em> (Subtraction property of equality)</em>
<em />
<em> (Division property of equality)</em>
<em />
c. 
d. 
<em>The value of x in each </em><em>equation</em><em> are:</em>
<em />
Learn more here:
brainly.com/question/1527981
First, disregard the sign for absolute value and solve for x.
2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6
Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
Answer: below
Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)
Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.
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