f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]
Answer:
The graph has only one x-intercept
Step-by-step explanation:
we have

we know that
The discriminant of a quadratic equation of the form
is equal to
in this problem we have

so

substitute
The discriminant is zero
That means ----> The quadratic equation has one real solution
The graph has only one x-intercept
The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right
Answer:
distance = 25
Step-by-step explanation:
Answer:
48 mm ^ 2
Step-by-step explanation:
We know we have a cube of side x, therefore the volume of that cube will be equal to:
V = x ^ 3, because it is a cube and each side is the same.
Now the derivative of the volume with respect to the length (that is, x) would be:
dV / dx = 3 * (x ^ 2)
They tell us that x takes a value of 4, replacing we have:
dV / dx = 3 * (4 ^ 2) = 48
That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.
let's recall that a Centroid in a triangle cuts the Medians into a 2:1 ratio, or namely CG : GD are in a 2: 1 ratio, we can also look at it that the side CD is 2/3 of CD whilst GD is 1/3 of CD, so
