Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!
Answer:
2
Step-by-step explanation:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x
So, 2(
) - 1 = 
If you multiply both sides by <em>a</em>, you get 2<em>a</em>(
) - a = (2x-1)+1
Simplify it 2<em>a</em>(
) - <em>a</em> = 2x
Add <em>a</em> to both sides 2<em>a</em>(
) = 2x +<em>a</em>
The two <em>a</em>s on the left cancel out 2(x+1)=2x+<em>a</em>
Distribute the 2 2x+2=2x+<em>a</em>
Then subtract 2x from both sides 2 = <em>a</em>
Therefore, <em>a</em> = 2
Hope this helps!
Answer:
A = (-2 , -1) A’ = (-5 , -1)
B = (2 , -1) B’ = (-1 , -1)
C = (2, 2) C’ = (-1 , 2)
Step-by-step explanation:
Move each coordinate to the left 3 times! You will result in the prime coordinates of the letters!
Question:

There are two methods of doing this. One is via long division. It is long, and hard to type in a meaningful way, so I will not include that method. The other, which I often employ for dividing by small amounts such as 4, is to divide it in half 2 times. This is possible because 4 = 2 times 2. You now have the fractions

Therefore the solution is 90.