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:
1/4
Step-by-step explanation:
Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!
X = -3.
The distance from p(-9, 0, 0) is
d = sqrt((x+9)^2 + y^2 + z^2)
The distance from q(3,0,0) is
d = sqrt((x-3)^2 + y^2 + z^2)
Let's set them equal to each other.
sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
Square both sides, then simplify
(x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
18x + 81 = - 6x + 9
24x + 81 = 9
24x = -72
x = -3
So the desired equation is x = -3 which defines a plane.
1 minute = 0.25km
Step-by-step explanation:
divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.
