Let smaller number be x/2 and the larger number x.
x/2 + x = 81
x/2 + x = 3x/2
3x/2 = 81
3x = 162
x= 54
The smaller number is 54/2= 27 and the larger number is 54.
Answer:
Reflection across x axis
Step-by-step explanation:
1.) (x - 4)(x + 1) = 0
x^2 + x - 4x - 4 = 0
y = x^2 - 3x - 4
2.) (x - 2)(x - 6) = 0
x^2 - 6x - 2x + 12 = 0
x^2 - 8x + 12 = 0
since the function has a maximum point the leading coefficient is negative.
Therefore, required equation is y = -3x^2 + 24x - 36
3.) a(x + 3)^2 = ax^2 + 6ax + 9a
since the y intercept is at y = 18 => 9a = 18 => a = 2
Therefore, required function is y = 2x^2 + 12x + 18
