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amid [387]
3 years ago
11

Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500

per week to meet his expenses. This situation can be given by 45x + 50y = 2,500, where x is the number of women's shoes and y is the number of men's shoes designed by Javier. If he does not have any female customers during a particular week, how many male customers does he need to meet his expenses? (x 0, y 0, x and y take only integer values)
Mathematics
1 answer:
n200080 [17]3 years ago
8 0
2500=50y + 45(0)
2500/50=y
50=y
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Use a graphing utility to graph the function and visually estimate the limits.
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The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = 4x cos x

First to calculate the limit value of the given function at x=0.

\lim_{x \to 0} f(x) = \lim_{x \to 0} 4x cosx

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\lim_{x \to 0} f(x) = 0

Similarly,

\lim_{x \to \frac{\pi }{3} } f(x) = \lim_{x \to \frac{\pi }{3} } 4x cosx

                     =  4×\frac{\pi }{3}×cos\frac{\pi }{3}

                     =  4×\frac{\pi }{3}×\frac{1}{2}                          (∵cos60° = \frac{1}{2})

\lim_{x \to \frac{\pi }{3} } f(x)  = 1.153

Hence, The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

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8 0
1 year ago
Does anybody have a REAL answer for this?
S_A_V [24]
Area of square = 15 x 15 = 225 cm^2
area of circle = pi r^2 = (3.14)(15)(15) = 706.5 cm^2

1/4 of circle = 706.5 / 4 = 176.6

so area of yellow region = 225  - 176.6 = 48.4 cm^2

answer
48.4 cm^2
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