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
Answer:
72.8
Step-by-step explanation:
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
So i think what you do is if you make a number line like this:
1...2...3...4...5...6...7...8
you have to find out how many numbers are in between 4 and 7, so I would be 3 because there are 3 numbers I between 4-7.
so
a) 3
b) 6
c) 14
d) 8
