Anna could have bought 3 boxes, which would serve 2 cupcakes to each child.
Answer:
Step-by-step explanation:
The roots are the values of x for which x² + 3x - 5 = 0.
Quadratic formula:
x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2
The slope is the relationship between the cost of the gym and how long you are there for.
the y-intercept is how much it costs to go to the gym for no hours ie the start-up cost.
For this case we have the following expression:
![\frac {3} {4} g = \frac {5} {8}](https://tex.z-dn.net/?f=%5Cfrac%20%7B3%7D%20%7B4%7D%20g%20%3D%20%5Cfrac%20%7B5%7D%20%7B8%7D)
We clear the value of the variable "g", for this:
We multiply by 4 on both sides of the equation:
![4 * \frac {3} {4} g = \frac {5} {8} * 4\\3g = \frac {20} {8}](https://tex.z-dn.net/?f=4%20%2A%20%5Cfrac%20%7B3%7D%20%7B4%7D%20g%20%3D%20%5Cfrac%20%7B5%7D%20%7B8%7D%20%2A%204%5C%5C3g%20%3D%20%5Cfrac%20%7B20%7D%20%7B8%7D)
We divide by 3 on both sides of the equation:
![\frac {3g} {3} = \frac {20} {8 * 3}\\g = \frac {20} {24}](https://tex.z-dn.net/?f=%5Cfrac%20%7B3g%7D%20%7B3%7D%20%3D%20%5Cfrac%20%7B20%7D%20%7B8%20%2A%203%7D%5C%5Cg%20%3D%20%5Cfrac%20%7B20%7D%20%7B24%7D)
We simplify:
![g = \frac {10} {12} = \frac {5} {6}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%20%7B10%7D%20%7B12%7D%20%3D%20%5Cfrac%20%7B5%7D%20%7B6%7D)
Answer:
![g = \frac {5} {6}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%20%7B5%7D%20%7B6%7D)