3x + 4y = -12
X - Intercept: 3x + 4y = -12
3x + 4(0) = -12
3x + 0 = -12
3x = -12
3 3
x = -4
(x, y) = (-4, 0)
Y - Intercept: 3x + 4y = 12
3(0) + 4y = 12
0 + 4y = 12
4y = 12
4 4
y = 3
(x, y) = (0, 3)
Domain of f = R .............
Answer:
Let "x" be the number of people who can go to the amusement park.
So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.
Solving this inequality, we get:
19 + 14x ≤ 180
14x ≤ 161
x ≤ 11.5
Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11
Hope this helps!
Answer:
9
Step-by-step explanation:
Multiply the number of sizes by flavors, the by toppings.
3*3*1
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5
x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.