Construct an equation that has k = 4 as its solution. Use k on both sides of the equation.
1 answer:
Since our fractions have two different denominators of 2 and 4 in this equation, we can get rid of the fractions by multiplying both sides of the equation by their common denominator, which is 4.
So we have .
Make sure you distribute the 4 through both
terms on both sides of the equation.
On the left, (4)(3/2k) is 6k and (4)(-7) is -28.
On the right, (4)(k/4) is k and (4)(-2) is -8.
So we have 6k - 28 = k - 8.
Now subtract k from both sides to get 5k - 28 = -8.
Now add 28 to both sides to get 5k = 20.
Finally, dividing both sides by 5, we find that <em>k = 4</em>.
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A.
-1:
(-1,1)
0:
(0, 2)
1:
(1, 4)
2:
(2, 8)
3:
(3,16)
b.
To graph the equation, simply go through the points (-2, 0.5), (-1, 1), (0,2), (1,4), (2,8), and (3,16). Make sure you never go below 0 on the x-axis, because there's an asymptote there.
Hope this helps!
-1:
(-1,1)
0:
(0, 2)
1:
(1, 4)
2:
(2, 8)
3:
(3,16)
b.
To graph the equation, simply go through the points (-2, 0.5), (-1, 1), (0,2), (1,4), (2,8), and (3,16). Make sure you never go below 0 on the x-axis, because there's an asymptote there.
Hope this helps!