Answer:
y = ![-x^{3} - 2x^{2} + 5x + 6](https://tex.z-dn.net/?f=-x%5E%7B3%7D%20-%202x%5E%7B2%7D%20%2B%205x%20%2B%206)
Step-by-step explanation:
The function will be cubic. The x-intercepts are -4, -1, and 2
The constant factor is -1 because the graph falls on the right. So,
y = -(x + 4)(x + 1)(x - 2)
y = -![x^{3} -2x^{2} + 5x +6](https://tex.z-dn.net/?f=x%5E%7B3%7D%20-2x%5E%7B2%7D%20%2B%205x%20%2B6)
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.
![^{12}P_4=\frac{12!}{(12-4)!}](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D%5Cfrac%7B12%21%7D%7B%2812-4%29%21%7D)
![^{12}P_4=\frac{12!}{8!}](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D%5Cfrac%7B12%21%7D%7B8%21%7D)
![^{12}P_4=\frac{12*11*10*9*8!}{8!}](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D%5Cfrac%7B12%2A11%2A10%2A9%2A8%21%7D%7B8%21%7D)
![^{12}P_4=12*11*10*9](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D12%2A11%2A10%2A9)
![^{12}P_4=11,880](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D11%2C880)
Therefore, offices can be filled in 11,880 different ways.
Answer:
(-2,3)
Step-by-step explanation:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis. the y-axis is the point (-x,y).
Answer:
C) -144^¹/₃
Step-by-step explanation:
Having a number to the power of a fraction is the equivalent of rooting by its reciprocal. So, the sixth root, fourth root, cube root, and square root. Only odd roots can have negative answers (∛x, x can be negative; √y, y can not be negative unless we talk about imaginary numbers).
Since we are looking for a real number, C, showing a cube root of a negative number, must be the answer.