Answer:
z=3
Step-by-step explanation:
2(2z -4)=4
Divide by 2
2/2(2z -4)=4/2
2z-4 = 2
Add 4 to each side
2z-4+4 = 2+4
2z = 6
Divide by 2
2z/2 = 6/2
z=3
Try this option:
note, that the difference between 8 and 10 is 2, between 9 and 12 is 3, between 11 and 16 is 5. It is possible when f(x) is linear function, 2x-6, therefore f(14)=2*14-6=22
Answer: 22.
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
According to google A. Would be 2.375 or as a fraction it would be 2 3/8