( x -3 )² = y - 4
y = ( x - 3 )² + 4
One solution is located at the vertex: ( 3, 4 ).
y = - x + b
4 = - 3 + b
b = 7
( x - 3 )² = - x + 7 - 4
x² - 6 x + 9 = - x + 3
x² - 5 x + 6 = 0
x² - 2 x - 3 x + 6 = 0
x ( x - 2 ) - 3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
x 1 = 2, x 2 = 3
y 1 = 5, y 2 = 4.
In order for this solution to be reasonable, the 2nd equation must be:
y = - x + 7
The first has value 2500*(1+.05*9)=3625. The second, similarly, has value 4160, and the third, 3400. Thus, the order, from least to greatest, is third, first, second.
Answer:
x = 1.5
Step-by-step explanation:
Since the axis of symmetry is between the 2 x intercepts, we can find it by finding the average of the x-coordinates of the 2 points.
(-7 + 10) / 2
3/2
= 1.5
So, the axis of symmetry is at x = 1.5
6(7n – 5m) + 8m
42n - 30m + 8m
42n -22m
Answer: 42n-22m