Answer:
Second option {x | x > 7}
Step-by-step explanation:
We have the function
We know that the square root of a negative number has no solution in the real ones. Therefore the domain of this function is 
When applying the transformation:
we have a translation of the original function in 7 units to the right and 2 units to the top:
In the same way we must guarantee that 
Then 
.
Therefore the domain of f(x) is {x | x > 7}
Hi!
(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45
x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45
When (a+b) = -12 and ab = -45?
+3-15 = -12 and (+3)(-15) = -45
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45
Answer:
(x+3)(x-15)
Answer:
- $5000 in the first city
- $4000 in the second city
Step-by-step explanation:
Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...
... 7.5%·x +5%·(x -1000) = 575
... 12.5%·x = 625 . . . . simplify, add 50
... x = 5000 . . . . . . . . divide by 12.5% (=0.125)
The first-city charge was $5000; the second-city charge was $4000.
Answer:
226 points were lost per player
Step-by-step explanation:
Since we are evenly spreading the points between all 26 players, we need to solve using division.
Basically, we are dividing the 5876 points among the 26 players.
5876/26 = 226
Therefore, if the points were spread evenly among all 26 players, each player would lose 226 points.
