Hey!
Let's write it,

Add

to both sides,


Subtract

from both sides.


Since we don't want a negative variable, we have to divide both sides by

.

Our answer would be,

Thanks!
-TetraFish
How to solve your question
Your question is
4
+
1
=
2
−
5
4x+1=2x-5
4x+1=2x−5
Solve
1
Subtract
1
1
1
from both sides of the equation
2
Simplify
3
Subtract
2
2x
2x
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
Solution
=
−
3
Answer: a) degree and sign
b) end behavior: left side → +∞, right side → -∞
c) x-intercepts: x = -1.3, 0.3, 1.0
<u>Step-by-step explanation:</u>
end behavior can be determined by two things:
1) the degree of the polynomial:
- if the degree is an even number, then the end behavior will be the same for both the left and right sides.
- if the degree is an odd number, then the end behavior will be different for both the left and right sides.
2) the sign of the leading coefficient:
- If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
- If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity
W(x) = -5x³ + 7x - 2
Degree: 3 (odd)
Leading Coefficient: negative
So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.
See attachment for x-intercepts. <em>I set the x-axis to represent tenths </em>