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:
diameter times height times x = volume
Step-by-step explanation:
using the length times width times height equation for volume.
good luck :)
Answer:
-32 - 8 = -40 ft
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
AE is an angle bisector, which means it cuts that triangle into 2 equal halves. So this means ∠BAE and ∠EAC should be equal to each other.
Set them equal to each other and solve for x.
∠BAE = ∠EAC
x + 30 = 3x - 10
40 = 2x
x = 20
Answer:
is the correct answer.
Step-by-step explanation:
Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)
In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so
can be written as 
