Answer:
Step-by-step explanation:
Let x represent the number of bananas that Tommy eats.
Let y represent the total number of pieces of fruit that the monkey eats.
Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana that tommy eats. This means that the number of bananas that the monkey eats is 2x. The expression for the total number of fruits eaten by the monkey becomes
y = 2x + 4
Answer:
Step-by-step explanation:
Distance = speed * time
- d = 12 *1 1/2 = 12*1.5 = 18
Answer:
Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square, ![\displaystyle y = a[x - h]^2 + k](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20a%5Bx%20-%20h%5D%5E2%20%2B%20k)
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula ![\displaystyle [\frac{b}{2}]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B%5Cfrac%7Bb%7D%7B2%7D%5D%5E2)
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.
When you multiple a whole you just multiple straight across when you multiple a decimal you you go from right to left starting with the first number on the right then go to the top next then the next then take the next number on the bottom and do the same thing
Hope this helps you
