For fog or f(g(x)), plug g(x) into f(x):
2(3x+2)²+x
Then simplify:
2( (3x+2)(3x+2) )+x
2( 9x²+12x+4 )+x
18x²+24x+8 +x
18x²+25x+8
Then you can simplify this further using factoring methods to:
(2x+1)(9x+8)
Hope this helps!! :)
Answer:
70
Step-by-step explanation:
70 has the greatest absolute value because absolute value is the amount between that number and 0. If 70 is the biggest number the with the biggest absolute value is 70.
1.
(Create a table then plot the points)
X | 0 | 1 | 2 | 3 |
-------------------------
Y | -1 | 3 | 7 | 11 |
4 (0) -1 => 0 - 1 = -1
4 (1) -1 => 4 - 1 = 3
4 (2) -1 => 8 - 1 = 7
4 (3) -1 => 12 - 1 = 11
Just apply the table method to the others and you should be fine! :)
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11, k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
=( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1 )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
Divested using long division
1810 r 3
