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
Answer:
d = 13 and n = 52
Step-by-step explanation:
Number of dimes: d
Number of nickels: n
Then d + n = 65, and n = 4d
Substituting 4d for n in the first equation, we get:
d + 4d = 65, or 5d = 65. Then d = 13 and n = 52
Answer:
Jane needs to work 7.7 hours
Step-by-step explanation:
Jane needs $1500
She already has $345
$1500 - $345 = $1155
She needs $1155
Jane makes $150 per hour
$1155 ÷ $150 = 7.7 hours
7.7 hours
Hope this helps :)
