Two rules come into play here:
1) We cannot divide by zero. Thux, x cannot = -3.
2) The domain of the square root function is (0, infinity). This is the dominant limiting factor.
x + 3 must be > 0. Thus, x must be > -3
The domain of this expression is (-3, infinity).
7+d=19 is the answer
subtract 7 from each side d=19-7
d=12
Answer:
X = 6
Step-by-step explanation:
Subtract 1 x from both sides so the equation will be 3x = 18. Then divide 3x by 3 and 18 by 3 to get 6
Answer:
100 of the 20$ tickets, and 60 of the 35$ tickets
Step-by-step explanation:
20*x + 35*y = 4100
x + y = 160
That means x = 160 - y, put this into the first equation
20(160 - y) + 35y = 4100
3200 - 20y + 35y = 4100
15y + 3200 = 4100
15y = 900
y = 60
Put y = 60 into the second equation and
x + 60 = 160
x = 100
y = 60, x = 100
Double check that this works for both equations to make sure its right
20 * 100 + 35 * 60= 4100
2000 + 2100 = 4100 /Correct
100 + 60 = 160 /Correct