Answer:
b = ⅓
x = ½, -1/7
Step-by-step explanation:
(b−5)x² − (b−2)x + b = 0
(b - 5)(0.5)² - (b - 2)(0.5) + b = 0
0.25b - 1.25 - 0.5b + 1 + b = 0
0.75b = 0.25
b = ⅓
(⅓−5)x² − (⅓−2)x + ⅓ = 0
(-14/3)x² + (5/3)x + 1/3 = 0
14x² - 5x - 1 = 0
14x² - 7x + 2x - 1 = 0
7x(2x - 1) + (2x - 1) = 0
(7x + 1)(2x - 1) = 0
x = 0.5, -1/7
Answer:
a = - 3
Step-by-step explanation:
The equation has common factors x(x + 3) on both sides
For the 2 sides of the equation to be equal, then the factor
(x + a) = (x - 3) and by comparison
a = - 3
You're looking for c, so you want to isolate it or get it by itself. To get rid of the /3 you multiply since the opposite of division is multiplication and to get rid of it, you do the opposite (like -9 you would add 9 to get it to 0). Now you are left with -19+c = 24 (the 24 is 8*3 because what you do to one side you do to the other. Now you get c by itself so you add 19 to both sides which leaves you with C= 43. Sorry if this was confusing!
Answer:
16 people (1/8) attended the morning session only
Step-by-step explanation:
If everyone attended something, the 1/8 of the people who didn't attend an afternoon session must have attended only the morning session.
1/8 of the 128 people = 16 people attended only the morning session
