<u>Part 1</u>
The gradient of the line is , so the equation is .
This means the system is
<u>Part 2</u>
Substituting in the coordinates (-3,11) and (2,1) into the equation of the parabola,
Subtracting the equations, we get 10=5a, and thus a = 2
Substituting a = 2 back into the system, we get b = -7
<u>Part 3</u>
The equation of the parabola is , and the turning point is at . Therefore, the value of y is -7
There are few things to answer for this problem. First how many gallon of lemonade are left? You had 15 gallons and it's 60% gone. That means that 40% is left. You have to figure out how much 40% of 15 is. You do that by multiplying 15 x 0.40. The answer is 6.
Next, how much ice tea did you make? You figure this out with the ration 3:4 which can also be written as the fraction 3/4. The lemonade is the three and you know you made 15 gallons of that. 15 is 3 x 5. If you multiply the 4 times 5 also you will find out how much iced tea you made - 20 gallons.
How many gallons of iced tea are left? You figure this out by multiplying the percent left - 48% (100 - 52) by 20 gallons. 20 x 0.48 = 9.6 gallons.
I know that the thing is safe, but I can't download and see. I don't know why.