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
We need to solve how much it cost to paint a room with are 459 ft² given that a room with an area of 306 ft² costs $72. The solution is shown below:
Cost per area = $72 / 306 ft²
Cost per area = $0.2353 / ft²
Solving the cost for the similar room:
Costs = $0.2353 * 459 ft²
Costs = $108
The answer is $108.
Answer:
20°
Step-by-step explanation:
C70° vertically opposite... the alternate then vertically opposite again then 90° - 70° = 20°
