The top portion of this graph would be y = 4
The bottom portion would be y = x - 1
In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.
For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)
m = (y1 - y2)/(x1 - x2)
m = (4 - 2)(5 - 3)
m = 2/2
m = 1
So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)
y = mx + b
4 = 1(5) + b
4 = 5 + b
-1 = b
Now put them together in an equation for the bottom part: y = x - 1
I need to write at least 20 charachers,soooooo...
Since Bryan spent $15.50 less than Sarah, you would start by dividing the total amount they spent together in half.
$47.50 ÷ 2 = $23.75
Then you would take Bryan's 1/2 of the total and subtract $15.50.
$23.75 - $15.50 = $8.25
So, it looks like Bryan spent $8.25.
Check step:
If you add it all back together:
Sarah + Sarah Bryan = Total
$23.75 + $15.50 + $8.25 = $47.50
2 yards = 6 feet
6 times 5 is 30
30 ft squared
steps
(x) = 5x^2-3x+7
refine
x=5x^2-3x+7
Switch sides
5x^2-3x+7-x=x-x
Subtract x from both sides
5x^2-4x+7=0
Solve with the quadratic formula
