Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
Answer:
option B : 12 degree
Step-by-step explanation:
The sum of angles in a triangle = 180 degree
Small box represents 90 degree
From the inner triangle
90 + angle y + 29 = 180 degree
90 + y + 29 = 180
119 + y = 180 (subtract 119 on both sides)
y= 61 degree
(y+x) is the top angle for bigger triangle
From the outer triangle , 90 + (y+x) + 17 = 180
We know y = 61
90 + (61+x) + 17 = 180
90 + 61 + x 17 = 180
168 +x = 180(subtract 168 on both sides)
x= 12 degrees
Answer:
Qualitative variable
Step-by-step explanation:
The response is qualitative variable due to its possible categories. In short, the response can only be divided into categories and cannot be interpreted numerically in a meaningful way. Thus, response is a qualitative variable. Also, the categories involves ordering like better and worse etc so, the measurement of scale would be ordinal in this scenario.
