Answer:

Step-by-step explanation:
<u>Operation of Functions</u>
Given:


The sum of (f+g) (x) is:

We cannot operate with the expression inside the absolute bars, thus:

Answer:
What? I do not even see what you are trying to get at. I have a masters in math so I could help. Whats the question you are having an issue with ?
Step-by-step explanation:
Answer:
-1 and -2, or 9 and 10
Step-by-step explanation:
If x is the smaller integer:
x (x + 1) = 14 + 4 (x + x + 1)
x² + x = 14 + 4 (2x + 1)
x² + x = 14 + 8x + 4
x² − 7x − 18 = 0
Factor using AC method:
(x − 9) (x + 2) = 0
x = -2 or 9
x is the smaller integer, so the larger integers are -1 and 10. Check each pair of solutions.
-1 and -2:
(-2) (-1) = 14 + 4 (-2 + -1)
2 = 14 + 4 (-3)
2 = 2
9 and 10:
(9) (10) = 14 + 4 (9 + 10)
90 = 14 + 4 (19)
90 = 90
Both solutions work.
Answer:
185
Step-by-step explanation:
firstly you calculate all in brackets
(280+20)÷3
300÷3
100-15
85
now you calculate 10×5=50
2×50=100
85+100=185
so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185
Let the number of hours = x
Mine A is offering his services for an initial $90 in addition to $15 per hour.
So, Charges of A = 90 + 15x
Mine B is offering her services for an initial $30 in addition to $35 per hour.
so, Charges of B = 30 + 35x
The two mines charge the same amount of money when:
Charges of A = Charges of B
So,

solve for x
combine like terms

so, the two mines will charge the same amount of money when the number of hours = 3