Range is the y values or ouputs
domain is inputs or x vvalues
we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value
-b/2a=-(-6)/(2*2)=6/4=3/2
plug that in
2(3/2)^2-6(3/2)-9
2(9/4)-9-9
9/2-18
4.5-18
-13.5
domain=all real numbers
range=from -13.5 to positive infinity
825 meters away
i think bit too sure
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = 
slope of red line = 
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
Answer:
The numbers are 14 and 25
Step-by-step explanation:
Let one of the numbers be x. The second number we are told is 3 less than twice x. The second number will thus be;
2x - 3
The sum of the numbers is thus;
x + (2x - 3) = 3x - 3
But the sum of the numbers is said to be 39, therefore;
3x - 3 = 39
3x = 42
x = 14
The second number is thus;
2(14) - 3 = 28 - 3 = 25
Answer:
(-1,3)
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
1 = (2-3)/(-2-x)
Multiply each side by (-2-x)
(-2-x) = -1
Multiply by -1
2+x = 1
Subtract 2 from each side
2+x-2 = 1-2
x = -1
