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agasfer [191]
3 years ago
7

a rectangular parking lot has length that is greater than the width the area of the parking lot is 160 square yards find the len

gth and the width use formula area=length*width the parking lot length
Mathematics
1 answer:
MissTica3 years ago
3 0
Let 'w' represent the width of the parking lot, then 'w+6' represents its length



area = width * length



160 = w * (w+6)

solving for 'w' we have a positive value of w=10



10+6=16



the width of the parking lot is 10 yards, the length of the parking lot is 16 yards
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<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) =  1/√x

m(x) = x² - 4

Domain of f(x)/m(x):

f(x)/m(x) = (1/√x)/(x² - 4)

f(x)/m(x) = 1/√x(x² - 4)

The denominator cannot be zero:

√x(x² - 4) ≠ 0

x(x - 2)(x+2) ≠ 0

x ≠ 0, 2, -2

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Domain of f(x)/m(x) is:   (0, ∞) - {0, 2, -2} or \:\left(0,\:2\right)\cup \left(2,\:\infty \:\right)

Domain of f(m(x)):

f(m(x)) = 1/√(x² - 4)

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Domain: \rm \left(-\infty \:,\:-2\right)\cup \left(2,\:\infty \:\right)

Domain of m(f(x)):

= ((1/√x)² - 4)

Domain: \:\left(0,\:\infty \:\right)

Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.

Learn more about the function here:

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Step-by-step explanation:

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