For this case we have the following functions:
f (x) = 4x ^ 2 + 12
g (x) = x - 1
Multiplying the functions we have:
(f ⋅ g) (x) = f (x) * g (x)
(f ⋅ g) (x) = (4x ^ 2 + 12) * (x - 1)
Evaluating for x = 3 we have:
(f ⋅ g) (3) = (4 (3) ^ 2 + 12) * (3 - 1)
(f ⋅ g) (3) = (4 (9) + 12) * (2)
(f ⋅ g) (3) = (36 + 12) * (2)
(f ⋅ g) (3) = (48) * (2)
(f ⋅ g) (3) = 96
Answer:
(f ⋅ g) (3) = 96
Answer: 2 + 2 = 4
Step-by-step explanation: Let's say you have 2 cars, and you friend has 2 cars, for your birthday, your friend gives you his 2 cars, so now in total you have 4 cars, hope this helped! -Mason
Answer:
The expression is
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given variable start with 'x'
The variable 'x' is divided by '3' so
<u><em>Step(ii):</em></u>-
The variable 'x' is divided by '3' so and after that subtract '6'
Then the expression
Answer:she spent 10 hours working in her aunt's store last week.
Step-by-step explanation:
Let x represent the number of hours that Lee spent working at the movie theater.
Let y represent the number of hours that Lee spent working at her aunt's store.
Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that
x + y = 30
Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that
9x + 6y = 240 - - - - - - - - - -1
Substituting x = 30 - y into equation 1, it becomes
9(30 - y) + 6y = 240
270 - 9y + 6y = 240
- 9y + 6y = 240 - 270
- 3y = - 30
y = - 30/ - 3 = 10 hours