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
Amount of water that the faucet leaks in 1 week = 42 gallons
That means Amount of water that the faucet in Kali's house leaks in 7 days = 42 gallons So The amount of water that the faucet in Kali's house leaks in 1 day = (42/7) gallons = 6 gallons Then The amount of water that the faucet in Kali's house leaks in 3 days = 6 * 3 gallons = 18 gallons
So it can said from the above deduction that the amount of water leaked by the faucet in Kali's house is 18 gallons.
hope this help .-.
Answer: 9 centimeters
Step-by-step explanation:
Add up all the sides, 6 + 10 + 11 = 27,
Since it’s the perimeter of an equilateral triangle, you do
27 / 3 = 9, which is the answer.
Answer: 14.7 (Rounded)
Work: So since (2 x 10) / 1/3 is in parentheses, I'm going to to that first. And since (2 x 10) is in parentheses in a parentheses, I'm going to do that multiplication first. After doing the multiplication, I get 20, and I'm going to divide it by 1/3 since it's in the parentheses. After dividing, I get 6.666..., But I'm going to round it to 6.7. Then, I'm going to add 6.7 by 8, and I got 14.7
<em>I hope this helps, and Happy Holidays! :)</em>
