Subtract 19 from both sides
-3x=2+x
Subtract x from both sides
-4x=2
Divide both sides by -4
x=-1/2
Final answer: x=-1/2
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:
Step-by-step explanation:

Keep the first fraction, change division to multiplication and find the reciprocal(multiplicative inverse) of the second fraction

Answer:
The length of the rectangle is 31.
Step-by-step explanation:
We have that the length (L) and width (W) are:


The perimeter of the rectangle is given by:



Now, we can calculate the length of the rectangle:
Therefore, the length of the rectangle is 31 units.
I hope it helps you!
5-3/-4-2=-2/6 the slope of the line is -2/6. This is the case because you do y1-y2 over x1-x2. ANSWER -2/6