Answer: The answer is 3
Step-by-step explanation:
To find the slope u turn it into a shape it could make such as in this case u are able to make a box like this. For such as u can use this picture to get a better understand but hope this helps :)
Solve by the matrix method , x+y/5 -1=y-x
1 answer:
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Answer:
8
Step-by-step explanation:
we know that
The rate of change of a linear equation is a constant that is the same that the slope
step 1
we have
The equation of the graph (function 1) is equal to
y=4
Is a horizontal line
The slope is equal to zero
so
The rate of change of function 1 is zero
step 2
The equation of the function 2 is
This is a linear equation in slope intercept form
where
the slope is equal to m=8
so
The rate of change of function 2 is 8
therefore
The rate of change of function 2 is 8 more than the rate of change of function 1
Te x intercepts are where the graph crosses the x axis or wher y=0
the y intercept is where the graph crosses the y axis or where x=0
to find vertex, here is a hack
the x coordinate of the vertex for an equation in form ax^b+bx+c=y is -b/2a
so
y=3x^2+12x+7
-b/2a=-12/2(3)=-12/6=-2
sub that back
y=3(-2)^2+12(-2)+7
y=3(3)-24+7
y=9-17
y=-8
vertex is (-2,-8)
intercepts
x intercept is where y=0
0=3x^2+12x+7
using quadratic formula
x=(-6-√15)/3 and (-6+√15)/3
xints at ((-6-√15)/3,0) and ((-6+√15)/3,0)
yint is where x=0
set x=0
y=7
yint is at y=7 or (0,7)
vertex at (-2,-8)
xints at x=
and 
or at the points 
and 
yint at y=7 or at (7,0)
the y intercept is where the graph crosses the y axis or where x=0
to find vertex, here is a hack
the x coordinate of the vertex for an equation in form ax^b+bx+c=y is -b/2a
so
y=3x^2+12x+7
-b/2a=-12/2(3)=-12/6=-2
sub that back
y=3(-2)^2+12(-2)+7
y=3(3)-24+7
y=9-17
y=-8
vertex is (-2,-8)
intercepts
x intercept is where y=0
0=3x^2+12x+7
using quadratic formula
x=(-6-√15)/3 and (-6+√15)/3
xints at ((-6-√15)/3,0) and ((-6+√15)/3,0)
yint is where x=0
set x=0
y=7
yint is at y=7 or (0,7)
vertex at (-2,-8)
xints at x=
yint at y=7 or at (7,0)