Answer:
30
Step-by-step explanation:
what number does 7 multiply by that also can be multiplied by 5? 30 is the least common denominator between 7 and 5.
Answer:
(9 - 4 x)/(x (2 x - 4))
Step-by-step explanation:
Simplify the following:
1/(2 x^2 - 4 x) - 2/x
Put each term in 1/(2 x^2 - 4 x) - 2/x over the common denominator x (2 x - 4): 1/(2 x^2 - 4 x) - 2/x = ((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)):
((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))
A common factor of 2 x - 4 and 2 x^2 - 4 x is 2 x - 4, so (x (2 x - 4))/(2 x^2 - 4 x) = (x (2 x - 4))/(x (2 x - 4)):
((x (2 x - 4))/(x (2 x - 4)))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))
(x (2 x - 4))/(x (2 x - 4)) = 1:
1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))
1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)) = (1 - 2 (2 x - 4))/(x (2 x - 4)):
(1 - 2 (2 x - 4))/(x (2 x - 4))
-2 (2 x - 4) = 8 - 4 x:
(8 - 4 x + 1)/(x (2 x - 4))
Add like terms. 1 + 8 = 9:
Answer: (9 - 4 x)/(x (2 x - 4))
Answer:
1/5 < 1/3 < 4/6
Step-by-step explanation:
Using the given inputs:
4/6 1/3 1/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
4/6 1/3 1/5
20/30 10/30 6/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/5 1/3 4/6
6/30 < 10/30 < 20/30
Therefore, the sorted inputs in order from least to greatest is:
1/5 < 1/3 < 4/6
(0,6)(1,3)
slope(m) = (3 - 6) / (1 - 0) = -3
y - y1 = m(x - x1)
slope(m) = -3
(1,3)...x1 = 1 and y1 = 3
now we sub
y - 3 = -3(x - 1) <===
