Answer:
B. (-0.73, 0), (2.73, 0)
Step-by-step explanation:
vertex form of a parabola
y = a(x-h)^2 +k
y = a(x-1)^2 -9
substitute the point in to find a
-6 = a (0-1) ^2 -9
-6 = a *1 -9
add 9 to each side
-6+9 = a -9+9
3 =a
y = 3(x-1)^2 -9
FOIL
y = 3(x-1)(x-1) -9
y = 3(x^2-2x+1) -9
distribute
y = 3x^2-6x+3-9
combine like terms
y = 3x^2 -6x -6
factor out 3
y= 3(x^2 - 2x -2)
set = 0
0 = 3(x^2 - 2x -2)
x^2 - 2x -2 =0
using the quadratic formula
-b±sqrt(b^2 -4ac)
----------------------
2a
-(-2) ± sqrt(2^2 - 4(1)(-2))
-------------------------------
2(1)
2 ± sqrt(4+8)
------------------
2
2±sqrt(12)
---------------
2
2±2sqrt(3)
----------------
2
1±sqrt(3)
roots: 2.73, and -.73
No because the first equation equals 64 when you solve it. But the second equation equals 70 when you solve it. So NO the two equations are not equal
2 1/6 is the fraction in mixed numbers
The expression y = 1/2x + 6 is written in slope-intercept form (y = mx + b) where m equals the slope and b equals the y-intercept. In this equation m = 1/2 and b = 6. So, the slope is 1/2 and the y-intercept is 6. The y-intercept is going to be on y-axis, so, its going to be written as (0, 6). The only option that is correct is [ The slope is 1/2 and the y-intercept is at the point (0,6) ]
Best of Luck!
You just have to combine like terms here
6+7n^3 is the final answer
