Answer:
B
Step-by-step explanation:
A:
Completing the square: (x+ 7/2)^2 = -2 + 49/4 = 41/4, in the next step you'll be square rooting a positive number so it'll have real roots.
B:
Completing the square: (x+3/2)^2 = -9 + 9/4 = -27/4, you'll next be square rooting a negative number, so it'll have complex roots
C:
Completing the square: (x-5/2)^2 = -1 + 25/4 = 21/4, next you'll square root a positive number, so real roots
D:
Completing the square: (x+7/2)^2 = 2 + 49/4 = 57/4, square root a positive number, so real roots.
Answer:
23.1111
Step-by-step explanation:
P(x > 6.9) = 1 - P(x < 6.9) = 1 - P[z < (6.9 - 5.1)/0.9] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275.
Therefore P(x > 6) is about 2.5%
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
