It is 72 1/10. This is because 72 is a whole number and point one would be tenths.
Answer:
k = 10
Explanation:
The initial polynomial is:
![f(x)=3x^3+13x^2+19x+k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2B13x%5E2%2B19x%2Bk)
If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:
![\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28-2%29%3D3%28-2%29%5E3%2B13%28-2%29%5E2%2B19%28-2%29%2Bk%3D0%20%5C%5C%203%28-2%29%5E3%2B13%28-2%29%5E2%2B19%28-2%29%2Bk%3D0%20%5Cend%7Bgathered%7D)
Therefore, we can solve for k as follows:
![\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%28-8%29%2B13%284%29%2B19%28-2%29%2Bk%3D0%20%5C%5C%20-24%2B52-38%2Bk%3D0%20%5C%5C%20-10%2Bk%3D0%20%5C%5C%20-10%2Bk%2B10%3D0%2B10%20%5C%5C%20k%3D10%20%5Cend%7Bgathered%7D)
So, the value of k is 10
The answer is (9,21) because is you plug in 9 for x, and add 12, you get 21.
Answer:
6
Step-by-step explanation:
since their are 3 numbers to choose from we do 3! or 3*2*1 which is 6.