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
Angle D = 47’
Angle B = 116’
32 + 32 = 64
180 - 64 = 116’
Angle E = 17’
116 + 47 = 163
180 - 163 = 17
Idk what to do after wards
You would need to explain base ten and base 8
Answer:
For 21 picks, there are 6 orange
Step-by-step explanation:
orange: green : total
2 5 2+5
2 5 7
If there are 21 picks, we need to divide by 7 to see how many times we need to multiply
21/7 = 3
Multiply everything by 3
orange: green : total
2*3 5*3 7*3
6 15 21
For 21 picks, there are 6 orange
Hi there
The simple interest formula is
I=prt
I interest changes
P amount of the loan 6000
R interest rate
T time( number of months/12 months)
The interest in 36 months at a 10%
I=6,000×0.1×(36÷12)=1,800
The interest in 48 months at a 12%
6,000×0.12×(48÷12)=2,880
she will save
2,880−1,800=1,080
Good luck!
