Answer:
Step-by-step explanation:
are blue shirts.
Since the second blue shirt is different, there is no replacement.
x = 
Simplified: =
Answer:
A: The solution to this system is no viable because it results in fractional values of tickets
Step-by-step explanation:
Let number of adult, child, and senior tickets be x, y and z respectively.
Thus;
x + y + z = 12 - - - (eq 1)
she purchases 4 more child tickets than senior tickets.
Thus, y = z + 4
Thus:
x + (z + 4) + z = 12
x + 2z + 4 = 12
x + 2z = 8 - - - (eq 2)
Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,
Thus;
5x + 2(z + 4) + 4z = 38
5x + 2z + 8 + 4z = 38
5x + 6z + 8 = 38
5x + 6z = 38 - 8
5x + 6z = 30
Divide through by 5 to get;
x + (6/5)z = 6 - - - (eq 3)
Subtract eq 2 from eq 1 to get;
2z - (6/5)z = 8 - 6
2z - (6/5)z = 2
Multiply through by 5 to get;
10z - 6z = 10
4z = 10
z = 2½
It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.
The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
Step-by-step explanation:
A symptote is a line that a curve approaches but never touches
- The vertical asymptote of a logarithmic function is at the zero of the argument
- f(x) = log(argument) has vertical aymptotes at argument = 0
∵ f(x) = 3 ㏒(x + 3)
∵ The argument is (x + 3)
- Equate the argument by zero
∵ x + 3 = 0
- Subtract 3 from both sides
∴ x = -3
- The vertical asymptote of a logarithmic function is at the zero
of the argument
∴ The vertical asympotote of f(x) is x = -3
The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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Answer:
i. Minimum is 343 square feet
ii. Maximum is 360 square feet
Step-by-step explanation:
The dimension of the rectangular garden plot is 12 feet by 28.6 feet.
1. The minimum possible area can be determined by;
area of a rectangle = length x width
= 28.6 x 12
= 343.2
The minimum possible area is about 343 square feet.
2. The maximum value can be determined by;
28.6 ≅ 30.0 (1 sf)
area of a rectangle = length x width
= 30 x 12
= 360
The maximum possible area is about 360 square feet.
We will owes 0 dollars cause 164 multiply by 12 = 1968
