Answer:
B.
Step-by-step explanation:
Because if you subtract 19x and 18 from each side it wont be 0=0, in other equatins there is infinity solutions
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:
31/100
Step-by-step explanation:
To turn .31 into a fraction we need to multiply it by 100
.31*100=31.
Now we need to divide it by 100
31/100
Since 31 is prime we can not simplify it.
Answer:
10 miles per 1/4 hour
40 miles per hour
Step-by-step explanation:
Given that:
A car travels 20 miles in 1/2 hour
Miles traveled per hour :
(20 * 2) / 1 = 40 miles per hour
Mile traveled in 1/4 hour :
Distance = speed * time
Distance = 40 mph * 1/4 = 10 miles per 1/4 hour
Car traveling 30 miles in 3/4 hours
(30 * 4) /3 = 120 / 3 = 40 miles per hour
Distance = 40 mph * 1/4 = 10 miles per 1/4 hour
