Answer: P^2 - 10p + 24 = 0
Step-by-step explanation:
Given that a company’s weekly revenue, in thousands, is modeled by the equation
R = -p2 + 14p,
where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.
Therefore,
-P^2 + 14p = 4p + 24
Collect the like terms
-P^2 + 14p - 4p - 24 = 0
-P^2 + 10p - 24 = 0
Multiply all by minus sign
P^2 - 10p + 24 = 0
Answer:
![\huge\boxed{\sf 4\frac{1}{8} }](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%204%5Cfrac%7B1%7D%7B8%7D%20%7D)
Step-by-step explanation:
![\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}](https://tex.z-dn.net/?f=%5Csf%20%3D%5Cfrac%7B5%7D%7B8%7D%20-%20%28-%5Cfrac%7B7%7D%7B2%7D%20%29%5C%5C%5C%5CRule%20%3A%20%28%20-%20%2A-%20%3D%20%2B%29%5C%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B8%7D%20%2B%5Cfrac%7B7%7D%7B2%7D%20%5C%5C%5C%5CLCM%20%3D%208%5C%5C%5C%5C%5C%3D%5Cfrac%7B5%2B28%7D%7B8%7D%20%5C%5C%5C%5C%5C%3D%5Cfrac%7B33%7D%7B8%7D%20%5C%5C%5C%5C%3D4%5Cfrac%7B1%7D%7B8%7D)
![\sf =\frac{5}{8}+ \frac{7}{2} \\\\=\frac{5+28}{8}](https://tex.z-dn.net/?f=%5Csf%20%3D%5Cfrac%7B5%7D%7B8%7D%2B%20%5Cfrac%7B7%7D%7B2%7D%20%20%5C%5C%5C%5C%3D%5Cfrac%7B5%2B28%7D%7B8%7D)
![\sf =\frac{33}{8} \\\\=4\frac{1}{8}](https://tex.z-dn.net/?f=%5Csf%20%3D%5Cfrac%7B33%7D%7B8%7D%20%5C%5C%5C%5C%3D4%5Cfrac%7B1%7D%7B8%7D)
Hope this helped!
<h2>~AnonymousHelper1807</h2>
You have to start answer more questions daily in which ever field you are best in
Ok, First you have to find the GCF of 120 and 90. When I got the answer I got a GCF of 30. I got 30 by multiplying all the number prime numbers 120 and 90 had, 2×3×5=30 What I did next was divide thirty by the number of cracker and also by the number of can of juice.
120÷30= 4
90÷30= 3
So as you can see there could be a maximum 30 of kid's. Each of the kids would receive 4 cans of juice and 3 packs of cheese crackers.
I hope you enjoyed my explanation. :)