We have a fraction with the unknown in the denominator, review how to treat unknowns in the denominator as a refresher for this exercise:
<span>(2/3) - (1/x + 6) = 2
</span>(2/3) - (1 + 6x)/x = <span>2
</span>(2/3) - 2 = (1 + 6x)/x
2/3 - 6/3 = (1 + <span>6x)/x
-4/3 = </span>(1 + <span>6x)/x
-4x = 3</span>(1 + <span>6x)
</span><span>-4x = 3 + 18x
</span>22x = -3
x = -3/22
When subtracting fractions, you need to make sure the denominators are the same. In 2/3 - 1/2, the denominators are different. To make them the same, find the least common denominator. In this case, the common denominator is 6
2/3 becomes 4/6
1/2 becomes 3/6
Now subtract the fractions with the common denominator
4/6 - 3/6 = 1/6
The answer is 1/6
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Answer:
Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.
Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5
Step-by-step explanation:
In point slope form the slope and y-intercept can be read directly from the equation.
y = mx + b where m is the slope and b is the y-intercept.
Answer:
t = (p - 1/2)/3
Step-by-step explanation:
p = 4t + 1/2 - t
combine like terms:
p = 3t + 1/2
subtract 1/2 from each side of the equation:
3t = p - 1/2
divide both sides by 3:
t = (p - 1/2)/3
7/4 is the answer to your question