The domain of a function is the set of input or argument values for which the function is real and defined.
So, for the given function to be defined, we need to find the possible values for which the values of x makes the square root to be positive.
That is;
-9 -5x ≥ 0
Now, let's solve for x
Add 9 to both-side of the equation
-5x ≥ 9
Divide both-side by -5
x ≤ -9/5
Therefore, the domain of the function can be represented in interval notation as: ( - ∞ , -9/5]
37x + 45y = 7940
75x + 45y = 10,410
Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.
In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).
Now you have 75x + (7940 - 37x) = 10,410
Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410
Subtract 7940 from both sides and you have 38x = 2470.
Divide both sides by 38 and you have x = 65
To solve for y, take you first equation (or even the second one) and substitute c for 65.
(37 x 65) + 45y = 7940
2405 + 45y = 7940
Subtract 2405 from each side.
45y = 5535
Divide each side by 45 and you have y = 123
Regular tickets = $65
VIP tickets = $123
Answer:
burrito price=$8
Taco Price=$6
Step-by-step explanation:
x=burrito price
y=taco price
3x+4y=48
solve for y
y=
−3
/4
x+12
plug in
6x+2y=60
6x+2(
−3
/4
x+12)=60
6x+2(
−3
/4
x+12)=60
x=8
now plug in for x
3x+4y=48
3(8)+4y=48
y=6
y=6
x=8
burrito price=$8
Taco Price=$6
