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: 5y + 4x
Step-by-step explanation:
$10.63
the work is shown below
To solve this equation, we will need to isolate y, the variable. These are the steps that follow:
1. Add 0.3y to each side.
2. Subtract 21.3 from each side.
3. Divide both sides by 5.4y.
Try and figure it out yourself! If you have trouble...
The answer is y = -8.5
Answer:
<em>180/7 deg and 1080/7 deg</em>
Step-by-step explanation:
The measures of two supplementary angles add to 180 degrees.
One angle measures x.
The supplement measures 6x.
The sum of the measures is 180 deg.
x + 6x = 180
7x = 180
x = 180/7
6x = 1080/7
