9=100 8=143 6=165 8=? give explanation
Answers
Answered by
1
Answer:
160
Step-by-step explanation:
The value of 5 is 160.
By calculating the first difference in between the values given, the values obtained are 43, 19, 3, and -5.
The second difference gives 24, 16 and 8.
The third difference gives 8 and 8, which are all non-zero differences.
So, it is a 3rd power polynomial = Ax^3 + Bx^2 + Cx + D with equations of:
729A + 81 B + 9 C + D = 100
512A + 64B + 8C + D = 143
343A + 49B + 7 C + D = 162
216A + 36B + 6C + D = 165
Therefore, the polynomial is:
(-4/3)x^2 + 20x^2 - (28/13)x + 295
X = 5, which is evaluated as 160.
Thus, the value of 5 = 160.
Answered by
1
Your explanation is here
The value of 5 is 160
By calculating the first difference in between the values,
The values obtained are 43,19,3,and-5
Now the second difference gives 24,16 and 8
The third difference gives 8 and 8,
Which are all non zero differences
Sooo
It is a 3rd power polynomial
=Ax^3+Bx^2+Cx+D
WITH THE EQUATIONS
729 A + 81 B + 9 C + D = 100
512 A + 64 B + 8 C + D = 143
343 A + 49 B + 7 C + D = 162
216 A + 36 B + 6 C + D = 165
Therefore the polynomial is:
(-4/3)x^2+20x^2-(28/13)x+295
Now x = 5, which evaluated as the number 160
Soo, the answer is
THE VALUE OF 5 = 169
I think my explanation is good
The value of 5 is 160
By calculating the first difference in between the values,
The values obtained are 43,19,3,and-5
Now the second difference gives 24,16 and 8
The third difference gives 8 and 8,
Which are all non zero differences
Sooo
It is a 3rd power polynomial
=Ax^3+Bx^2+Cx+D
WITH THE EQUATIONS
729 A + 81 B + 9 C + D = 100
512 A + 64 B + 8 C + D = 143
343 A + 49 B + 7 C + D = 162
216 A + 36 B + 6 C + D = 165
Therefore the polynomial is:
(-4/3)x^2+20x^2-(28/13)x+295
Now x = 5, which evaluated as the number 160
Soo, the answer is
THE VALUE OF 5 = 169
I think my explanation is good
Similar questions