Something funny is that the x value of the vertex lies directl in the middle of the x intercepts
so
we see the x intercepts or 0's at x=8 and 2
the average is x=5
so find f(5) to find the y value of the vertex
f(5)=(5-8)(5-2)
f(5)=(-3)(3)
f(5)=-9
vertex is at (5,-9)
the actual way the teacher wants is to expand then compltete the square to get into the form f(x)=a(x-h)^2+k where the vertex is (h,k)
but whatever
verrtex is at (5,-9)
Answer:
Step-by-step explanation:
Area = length * width
length: x + 3
width: x - 5
A = (x + 3)(x - 5)
Simplify (x + 3)(x - 5) using the FOIL method:
1. First numbers: multiply the first number of each binomial together--x*x = x%5E2
2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x
3. Inner numbers: multiply the inner number of each binomial--3*x = 3x
4. Last numbers: multiply the last number of each binomial--3*-5 = -15
==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15
Therefore, A = x%5E2+-+2x+-+15
Given:
On a coordinate plane a line contains the point (2,6) and models a proportional relationship.
To find:
The points which are also on the line.
Solution:
The line models a proportional relationship.
...(i)
where, k is constant of proportionality.
Put x=2 and y=6 in the above equation.
Divide both sides by 2.
Put k=3 in equation (i).
We can say that the point whose y-coordinate is 3 times of its x-coordinate, are the point which are lie on the line.
For example: (1,3), (3,3), (-1,-3) etc.
So, the equation of line is . All the points which satisfy this equation represents the points on the line.
Answer:
$76
Step-by-step explanation:
You multiply 80*0.05
Answer:
Option A, 25.25
Step-by-step explanation:
x = (54+204)/2 = 129
180-129 = 51
So,
(3z+1+z)/2 = 51
or, 4z+1=102
or, 4z=101
or, z = 25.25