Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.

. The first rule for completing the square is that the leading coefficient be a +1. Ours is a -.2. So we need to factor it out.

. Now we will take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier. What we have actually "added" in is -.2*49 which is -9.8. Now here's what we have after all that:

. In that process, we have created a perfect square binomial on the left. Along with expressing that binomial we will do the math on the right:

. Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is. The y coordinate of the vertex will give us the max height of the water.

. As you can see, our work matches choice C from above.
Answer:
£70.00
Step-by-step explanation:
You basically want to find what she spent in total, then subtract the amount she spent on ingredients.
50 glasses of lemonade at £2.10 each would be £105. (50*2.1)
Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)
He would have a total of: $1639.09
In intrest alone he would've made 1639.09
Step-by-step explanation:
3%= 0.03
- The first thing you do is multiply $1,500 by the %3 (0.03).
- When your done multiplying, you should get 45.
- Then you repeat the process over, two more times. However the numbers will change.
Answer:
9r
Step-by-step explanation:
4r+9r-11r+7r
Combine like terms
13r -11r+7r
2r+7r
9r