Step-by-step explanation:
y = x² - 3x + 6
y = 2x + 6
y = y
x² - 3x + 6 = 2x + 6
x² - 5x = 0
x(x - 5) = 0
x = 0 and x = 5
y = 2x + 6 and y = 2x + 6
y = 2(0) + 6 and y = 2(5) + 6
y = 0 + 6 and y = 10 + 6
y = 6 and y = 16
(x1,y1) and (x2, y2) = (0,6) and (5,16)
Option → A
 
        
             
        
        
        
Answer:
y=5/3x+7/3 
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope) 
 label the points: 
x1=1 
y1=4
x2=-2 
y2=-1 
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3 
Here's the equation so far: 
y=5/3x+b (b is a place holder) 
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together: 
y=5/3x+7/3
Hope this helps! 
 
        
             
        
        
        
Answer:
m = -  , c = -
 , c = - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )
3y = - 2x - 1 ( divide terms by 3 )
y = -  x -
 x -  ← in slope- intercept form
 ← in slope- intercept form
with m = -  and c = -
 and c = - 
 
        
             
        
        
        
It is taller by 7 ft and 3 inches
You can first convert both values to inches and then subtract. Finally convert them back to ft and inches
        
             
        
        
        
Answer:
$19.6
Step-by-step explanation:
He bought 6 video games and 1 dvd
We know that each video game costs $2.7 and each dvd costs 3.4
To get the sum = v x 6 + d x 1
= 2.7 x 6 + 3.4 x 1
= 16.2 + 3.4
= $19.6