Answer:
6
−
4 x
=
6
x
−
8
x
−
2 Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
6
x
−
8
x
−
2
=
6−
4
x Subtract 8
x from 6
x
.
−
2
x
−
2
=
6
−
4
x
Move all terms containing x
to the left side of the equation.
Tap for fewer steps...
Add 4
x
to both sides of the equation.
−
2
x
−
2 + 4 x
= 6 Add −
2
x and 4
x
.
2
x
−
2
=
6
Move all terms not containing
x to the right side of the equation.
Tap for fewer steps...
Add 2
to both sides of the equation.
2
x
=
6
+ 2 Add 6 and 2
.
2
x
=
8
Divide each term by
2 and simplify.
Tap for fewer steps...
Divide each term in
2
x
=
8 by 2
. 2
x
2
= 8 2 Cancel the common factor of
2 . Tap for more steps...
x
=
8 2 Divide 8 by 2
.
x
=
4
Answer:
2
Step-by-step explanation:
come on man if you are in -2 dollar debt and someone gives you 4 more dollars you now have 2 dollars
Factor by grouping.
0 = (x^3 +4x^2) +(9x +36) = x^2(x+4) +9(x+4) = (x^2+9)(x+4)
The first factor is the difference of squares (in complex numbers), so the form for factoring that can be used:
a^2 - b^2 = (a -b)(a +b)
Here, a=x, b=3i.
Then the factorization in complex numbers is
0 = (x -3i)(x +3i)(x +4)
Solutions are the values of x that make these factors be zero.
x = -4, -3i, 3i
Given:
The function is
To find:
The rate of change of the given function.
Solution:
We have,
...(i)
It is a linear function because the degree or power of x in this function is 1.
Slope of a linear function is always constant.
The slope intercept form of a linear function is
...(ii)
where, m is slope and b is y-intercept.
On comparing (i) and (ii), we get
It means, the function has a constant rate of change, decreasing for all x at a rate of 5.
Therefore, the correct option is D.
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