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 ...
_____
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.
Answer:
(-1/2, 3/4)
Step-by-step explanation:
Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:
2(24x - 4y = -15) => 48x - 8y = -30
Now combine this result (this equation) with the first equation:
2x + 8y = 5
+48x -8y = -30
---------------------
50x = - 25
Dividing both sides by 50, to isolate x, we get
x = -25/50 = -1/2.
Now substitute -1/2 for x in the first equation and solve the resulting equation for y:
2x + 8y = 5
2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)
Dividing both sides of 8y = 6 by 8 leads to determining the value of y:
y = 6/8 = 3/4
The solution is (-1/2, 3/4).
Answer:
h = 48
Step-by-step explanation:
So they played 48 home games. They won 3/4, so they won 36 and lost 12.
They played 48 away games. They won 2/3, so they won 32 and lost 16.
All tolled, they won 36 + 32 = 68 games and lost 12 + 16 = 28 games.
The value of 
is 2500, when 
and 
.
Given that, and .
We need to find the value of .
<h3>What is an
arithmetic sequence?</h3>
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Now, to find the value of :
Therefore, the value of is 2500.
To learn more about arithmetic sequence visit:
brainly.com/question/15412619.
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Answer:
9ms
Step-by-step explanation:
