Answer:
The function has two x-intercepts.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
Step-by-step explanation:
Given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
f(x) = 2x² - x - 6 has the following coefficients:
a = 2
b = -1
c = -6
x-coordinate of the vertex is:
x = -b/(2a)
x = 1/(2*2) = 1/4
y-coordinate of the vertex is:
f(1/4) = 2(1/4)² - 1/4 - 6 = -6 1/8
Answer:
A) T'(-3, 6) and V'(0, 3)
Step-by-step explanation:
In the picture attached, triangle TVW is shown.
Transforming points T and V according to the rule (x,y) -> (3/4x, 3/4y), we get:
T(-4, 8) -> (-4*3/4, 8*3/4) -> (-3, 6) which corresponds to T'
V(0, 4) -> (0*3/4, 4*3/4) -> (0, 3) which corresponds to V'
Answer:
d. about 50 times larger
Step-by-step explanation:
The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...
The larger earthquake had about 50 times the intensity of the smaller one.