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:
c
Step-by-step explanation:
Answer:
c=7.07
Step-by-step explanation:
c²=a²+b²
c²=5²+5²
c²=25+25
c²=50
c=√50
c=7.07
B. c=7.07 (to nearest hundredth)
C. c=√50= 5√2 in radical form
Well, first you multiply 22×3 and then add the answer by 3!. whole times denominator plus numerator!
Answer:
<h2>4.5 N</h2>
Step-by-step explanation:
To convert 1 pounds to its meteric unit in weight, we need to first convert it to kilogram. Using the conversion 1pound = 0.453592 kg
Since Weight of a substance = mass of the substance * acceleration due to gravity
W = mg
Given mass = 0.453592kg and g = 9.8m/s²
Weight = 4.4452016 Newtons
1 pounds is therefore closest to 4.5 units metric of weight
