^ = 199
! = 199-8+1029-1011 = 209
Its 209
<h2>
Hello!</h2>
The answers are:
a) ![\frac{49}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B4%7D)
b) ![(x+\frac{7}{2})^{2}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B7%7D%7B2%7D%29%5E%7B2%7D)
<h2>Why?</h2>
First, we need to know that for this case:
![a=1\\2ab=7](https://tex.z-dn.net/?f=a%3D1%5C%5C2ab%3D7)
So,
![b=\frac{7}{2}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B7%7D%7B2%7D)
![b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%28%5Cfrac%7B7%7D%7B2%7D%29%5E%7B2%7D%3D%5Cfrac%7B49%7D%7B4%7D)
We must add
to the expression in order to form a perfect square trinomial,
![x^{2} +7x+\frac{49}{4}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B7x%2B%5Cfrac%7B49%7D%7B4%7D)
Writing the trinomial as a binomial square:
![(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B7%7D%7B2%7D%29%5E%7B2%7D%3Dx%5E%7B2%7D%2B2%2A%5Cfrac%7B7%7D%7B2%7D%2Ax%2B%28%5Cfrac%7B7%7D%7B2%7D%29%5E%7B2%7D%3Dx%5E%7B2%7D%20%2B7x%2B%5Cfrac%7B49%7D%7B4%7D)
Have a nice day!
Answer:
Each machine would produce 28,750 candies per day. hope it helps
Well if he made 10 in 4 hours, that means he made 5 in 2 hours. after 2 hours he had 30 cards, so that means he started with 25 cards. Mr. Cringle is making 2 and 1/2 cards per hour.