Answer:
You are correct (4,0)
Step-by-step explanation:
This is right because the two lines intersect at the point (4,0)
Answer:

The vertex is 
Step-by-step explanation:
For a general quadratic function the form is:

For the function

Take common factor 3.

The values of the coefficients for the function within the parenthesis are the following:
,
, 
Take the value of b and divide it by 2. Then, the result obtained squares it.


Add and subtract 
![f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%28%5Bx%20%5E%202%20-%5Cfrac%7B4%7D%7B3%7Dx%20%2B%5Cfrac%7B4%7D%7B9%7D%5D-%202-%5Cfrac%7B4%7D%7B9%7D%29)
Write the expression of the form


The vertex is 
Answer:
(3, -2)
Step-by-step explanation:
Find the midpoint coordinates (x, y) of points A(2, - 5) and B(4, 1)
x-coordinate of the midpoint is (2+4)/2 = 6/2= 3
y-coordinate of the midpoint is (-5+1)/2 = -4/2= -2
The mid point coordinates are (3, -2)
Answer:
GQ=25 units
Step-by-step explanation:
we know that
Point Q is the midpoint of GH
so
GH=GQ+QH and GQ=QH
GH=2GQ -------> equation A
we have
GH=5x-5
GQ=2x+3
substitute in the equation A and solve for x
5x-5=2(2x+3)
5x-5=4x+6
5x-4x=6+5
x=11
Find the length of GQ
GQ=2x+3
substitute the value of x
GQ=2(11)+3
GQ=25 units
Answer:
rate of change = 1.5 dollars per mile
Step-by-step explanation:
cost for travelling 1 mile = 3.75
cost 2 miles = 5.25
cost 3 miles = 6.75
cost 4 miles = 8.25