Answer:
10 ball caps
Step-by-step explanation:
In this question, we are trying to know the number of caps the manger would buy that would equate the cost at both companies.
How do we get this?
Since we do not know the number of caps, let’s assign a variable. Let the number of caps that is required be x. Let’s now make some costings in terms of x. We proceed;
Company X charges $50 fee plus $7 per cap. Total amount company X will charge on x caps will be; $50 + $7(x) = $50 + $7x
Company Y will charge $30 plus $9 per cap. Total amount company Y will charge on x caps will be $30 + $9(x) = $30 + $9x
We are trying to look at the value of x that will make both costs equal. What we do is to equate both costs.
30 + 9x = 50 + 7x
We simply by taking like terms to the same sides
9x-7x = 50-30
2x = 20
x = 20/2 = 10
X = 10
So what this means is that manger has to buy 10 caps to have the same cost in both companies
Let the length be l.
Formula of perimeter is P= 2(length +width )
1313 =2 (l+w)
l = \frac{1313}{2}-w
And the formula of area of rectangle = length times width .
A = l*w
A= (\frac{1313}{2}-w )*w
A = \frac{1313w}{2} -w^2
And that's the required objective function .
The equation represents parabola and a parabola is maximum at its vertex .
And the formula of vertex is
w = -\frac{b}{2a} =-\frac{1313}{4}
Substituting this value of w in the formula of area, we will get
A= \frac{1313*1313}{8} -(\frac{1313}{4})^2
Area= \frac{1723969}{16}=107748 \ square \ units .
<span>Given- f(x) = 2x + 5
g(x) = (-1/3)x + 2 , f(1)/g(3) = ?
Solution- f(1) = 2*1 + 5
f(1) = 7
g(3) = (-1/3)*3 + 2
g(3) = -1 + 2
g(3) = 1
So, f(1)/g(3) = 7/1
f(1)/g(3) = 7</span>
