Alrighty!
*Note the ">" sign is similar to the "=" sign.
3m - 3(3m + 8) > 3m
3m - 6m + 24 > 3m (distribute)
-3m + 24 > 3m (combine like terms)
24 > 6m (Compute/simplify)
8 > m
Makes sense?
Answer:
0.4 , 0.1
Step-by-step explanation:
Let number of boys be = b , number of girls = b + 4 . As total students = 20 b + b + 4 = 20 → 2b + 4 = 20 → 2b = 20 - 4 = 16 → b = 16 / 2 = 8 (boys) , so girls = 12
Prob (a random first child is a boy) = boys / total students = 8 c 1 / 20 c1, or = 8 / 20 = 0.4
Prob ( a 'Tina' out of two Tina is the last) = 2 c 1 / 20 c 1 , or = 2 / 20 = 0.1
No, a cubic equation can not have three complex roots. This is because it turns twice and one end goes to positive infinity and one end goes to negative infinity. Thus, one of these MUST cross the x-axis at some point, meaning y = 0 and a real root exists.
Yes, a cubic equation can have three real roots if it cuts the x-axis three times.
Ok. so, you have a fraction. lets say it is, 5/20. and the other, is. 2/5. flip the first one, and multiply. so your answer would be, 25/40. hope this helps.
Let shirts be x and ties be y
3x+5y=$60 Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39 Equation 2 (Equation 2 will be denoted by !)
*x2 6x + 10y = $120
!x3 6x + 9y = $117
*-! y = 120-117 =3
Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15
Shirts are $15