( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------
1 answer:
Answer:
x = -18
Explanation:
To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.
After doing this, you can solve and isolate x.
Work is shown in the attached picture.
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2.8.1
By definition of the derivative,
We have
and
Combine these fractions into one with a common denominator:
Rationalize the numerator by multiplying uniformly by the conjugate of the numerator, and simplify the result:
Now divide this by <em>h</em> and take the limit as <em>h</em> approaches 0 :
3.1.1.
Differentiate one term at a time:
• power rule
The last two terms are constant, so their derivatives are both zero.
So you end up with