Answer:
1
Step-by-step explanation:
The first step is to understand what the integrand looks like. (See the graph below.)
It is -1 for x < 0 and +1 for x > 0. Thus, the value of this integral is ...

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Essentially, you treat the absolute value as a piecewise linear function. This is the same way you treat an absolute value in any equation or inequality.
Here, this means you divide the integral into two parts: one where the integrand is -x/x, and one where it is +x/x.
The percent increase in enrollment is 6 %
The operation used in first step is finding the difference between final value and initial value
<h3><u>Solution:</u></h3>
Given that This year, 1,272 students enrolled in night courses a a local college
Last year only 1,200 students enrolled.
To find: percent increase in the enrollment
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:</u></em>

Here initial value (last year) = 1200 and final value(this year) = 1272
Substituting the values in above formula,

Thus percent increase is 6 %
Answer:
Step-by-step explanation:
1/4
Answer: the equations are
k = d + 33
k - 2 = 4(d-2)
Step-by-step explanation:
Let the present age of Kevin be represented by k
Let the present age of Daniel be represented by d
Kevin is 33 years older than Daniel. This means that the expression for their current age is
k = d + 33
Two years ago, Kevin was 4 times as old as Daniel. This means that 2 will be subtracted from their present ages to depict two years ago. Therefore, Two years ago for Daniel will be d-2
Two years ago for Kevin will be k - 2
Remember that Kevin was 4 times as old as Daniel two years ago, it becomes
k - 2 = 4(d-2)