Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution a
nd the line graph. 8 ≥ 3 x + 5
2 answers:
<h2>Answer:</h2>
The solution to the inequality is:
i.e. the solution is the collection of all the points which are less than or equal to 1.
<h2>Step-by-step explanation:</h2>We are given a linear inequality in terms of the single variable x as follows:
which could also be written as:
on subtracting both side of the inequality by 5 we have:
on dividing both side of the inequality by 3 we have:
The shaded region will be to the left of 1 with closed circle at 1.
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9514 1404 393
Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
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<em>Additional comment</em>
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
