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Concept explainers
a.
To draw: a diagram to represent the situation.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 78PPS
Explanation of Solution
Given:
Frodo’s corral, an enclosure for livestock is currently
Calculation:
As the enclosure for livestock is currently
Now, the area of enclosure was to enlarge by
Therefore, the pictorial representation of this situation is
Hence, the area of new rectangular corral is
b.
To write: the polynomial equation for the area of new corral and find the factor of the equation.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 78PPS
Explanation of Solution
Given:
The area of new corral is
Calculation:
Let x be the increase in length and width of the corral. Now, make an equation for the given condition. Therefore, according to question
Use zero product property, then
Since, the dimensions cannot be negative, therefore,
Hence, the factor of that equation is
c.
To graph: the given function.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 78PPS
The graph is shown in figure.
Explanation of Solution
Given:
The given polynomial is
Calculation:
From part (b),
Let
Now, by zero product property
Thus, the y-intercept is
Now, the graph of the given function is
d.
To explain: that for any value of x is irrelevant.
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 78PPS
Explanation of Solution
Given:
The given polynomial is
Calculation:
From part (b), there are two value of x which is
Since, the dimensions of the corral cannot be negative,
So
Hence, the value of
Chapter 5 Solutions
Glencoe Algebra 2 Student Edition C2014
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