First, convert to improper fractions, which are easier to use for us:
16/7-4/3
Convert to a common denominator of 21:
48/21-28/21
Finally, subtract to get:
20/21
Answer:
Answer below on online math notes
Step-by-step explanation:
The angle measures 78 as 180-102 is 78 (180 is the degree of a supplementary angle)
Answer:
x = -12/14 is the required solution for the given expression.
Step-by-step explanation:
Here, the given expression is:
5 – 6 x = 8 x + 17
Now, here solving the expression for the value of x, we get:
5 – 6 x = 8 x + 17
⇒ 5 - 17 = 8 x + 6 x
⇒- 12 = 14 x
or, x = -12 / 14
Hence, x = -12/14 is the required solution for the given expression.
Answer:
x = 3, x = - 
Step-by-step explanation:
Since x = 2 is a root then (x - 2) is a factor
2x³ - 3x² - 23x + 42 ÷ (x - 2)
= (x - 2)(2x² + x - 21)
solve 2x² + x - 21 = 0 for remaining roots
(2x + 7)(x - 3) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
2x + 7 = 0 ⇒ x = -
