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:
the answer is B
a 3d rectangle slided vertically can produce a 2d rectangle
Answer:
Step-by-step explanation:
The given function:
Since the function is open upwards means is of 
And we can see one unit down and 2 units shifted on right in parent function.
Therefore, the function is of
Graph takes parabola shape by quadratic function.
Answer:
3⅘ lb
Step-by-step explanation:
(a) <em>Amount eaten</em>
Eaten = 10⅖ + 10⅘
Think of pounds as pies. Each pie has 5 slices.
10⅖ pies = 10 pies + 2 slices = 50 slices + 2 slices = 52 slices
10⅘ pies = 10 pies + 2 slices = 50 slices + 4 slices = 54 slices
Eaten = 52 slices + 54 slices = 106 slices
(b) <em>Amount remaining</em>
Remaining = Original – Eaten
Original = 25 pies = 125 slices
Eaten = 106 slices
Remaining = 125 slices -106 slices
Remaining = 19 slices Convert slices to pies
Remaining = 15 slices + 4 slices
Remaining = 3 pies + 4 slices Convert to mixed fraction
Remaining = 3⅘ pies Convert pies to pounds
Remaining dog food = 3⅘ lb
All you have to do is add them up so the answer would be 13.5
