Answer:
- No, the second machine (function B) can produce an output of 0, while the first machine (function A) cannot.
Explanation
The functionality of each machine is dictated by the expression it operates under.
1) Function A:
To achieve an output of 0 with the equation y = x² + 3, one would need to resolve the equation x² + 3 = 0.
Given that x² is always non-negative for any real number, x² + 3 will always be at least 3, meaning an output of 0 is unattainable with the first machine.
2) Function B:
By solving 
Thus, utilizing x = 4 will yield an output of 0 with this machine.
Answer:
The correct answer is A. (6)
Step-by-step explanation:
In a coordinate system, a cubic function is characterized by a point of inflection at x = 5 and intersects the x-axis at the same point. The function can be described as y = (x - 5)^(1/3). The intersection with the x-axis occurs when: 0 = (x - 5)^(1/3), leading to x = 5. The y-intercept is determined by substituting 0 into the function, yielding y = cuberoot(5).
Answer:
3
Step-by-step explanation:
The coach organizes her 9 players into groups of 3. Therefore, she has a total of 9 players and wants to group them in sets of 3.
To determine how many groups of three can be formed, we divide the total players by 3. This gives us:
9 / 3 = 3 groups
Thus, there will be 3 groups of 3 players each.