Answer:
it has 48 gallons of water in the pool.
Step-by-step explanation:
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Equilateral triangle means each angle equals 60 degrees.
60 = 7x - 3
63 = 7x
x = 9
<span>Simplifying
2x + -3 = -1x + 3
Reorder the terms:
-3 + 2x = -1x + 3
Reorder the terms:
-3 + 2x = 3 + -1x
Solving
-3 + 2x = 3 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-3 + 2x + x = 3 + -1x + x
Combine like terms: 2x + x = 3x
-3 + 3x = 3 + -1x + x
Combine like terms: -1x + x = 0
-3 + 3x = 3 + 0
-3 + 3x = 3
Add '3' to each side of the equation.
-3 + 3 + 3x = 3 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 3 + 3
3x = 3 + 3
Combine like terms: 3 + 3 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2
answer x=2
Hope I Helped:D</span>
Answer:
the answer would be 6x^2(x+6)(x-2)
Step-by-step explanation:
6x^4 + 24x^3-72x^2
= 6x^2(x^2+4x-12)
= 6x^2(x+6)(x-2)
