Answer:
1,400 bracelets in 3 and a half hours
Step-by-step explanation:
First you have to find how many minutes are in 3 and a half hours. 1 hour is 60 minutes, so 60 + 60 + 60 is 3 hours or 180 minutes and 30 minutes is a half an hour. Therefore 3 and a half hours equals 210 minutes. Set up an equal proportion: 100 bracelets / 15 min = x bracelets / 210 min. Use algebra to solve: 100 * 210 = 15x → 21000 = 15x → 1400 = x.
For this case we must simplify the following expression:
By law of multiplication signs we have to:
We add similar terms:
We simplify:
Answer:
Answer:
Step-by-step explanation:
The quadratic formula of a quadratic equation
We have the equation:
Substitute:
Those are all the answers hope this helps.
Step-by-step explanation:
(f+g)(x) means f(x) + g(x).
(f−g)(x) means f(x) − g(x).
So all you have to do is add them and subtract them.
1. (f+g)(x) = f(x) + g(x)
(f+g)(x) = (3x − 7) + (2x − 4)
(f+g)(x) = 5x − 11
2. (f−g)(x) = f(x) − g(x)
(f−g)(x) = (3x − 7) − (2x − 4)
(f−g)(x) = 3x − 7 − 2x + 4
(f−g)(x) = x − 3
3. (f+g)(x) = f(x) + g(x)
(f+g)(x) = (2x + 3) + (x² + ½ x − 7)
(f+g)(x) = x² + 2½ x − 4
4. (f−g)(x) = f(x) − g(x)
(f−g)(x) = (2x + 3) − (x² + ½ x − 7)
(f−g)(x) = 2x + 3 − x² − ½ x + 7
(f−g)(x) = -x² + 1½ x + 10