Since we know one root, which is -3, we can use synthetic division to find (x+3) would need to be multiplied by to get the original polynomial. Then, we factor the quadratic to find the other two factors, which are 1/2 and -2
First find the gradient of the line
Change in y/change in x
-3–3/-3-3
0/-6
=0 ( so the gradient m is equal to zero)
Y=0x+c
Input the coordinates of one point to find c
-3=(0*3)+c
-3=c
So the equation is
Y= -3
Answer:
it will be -19
Step-by-step explanation:
i hope it helps you
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7Bk%20%3D%203%7D%7D%7D%7D%7D)
Step-by-step explanation:
![\sf{4.5 + 1.5k = 18 - 3k}](https://tex.z-dn.net/?f=%20%5Csf%7B4.5%20%2B%201.5k%20%3D%2018%20-%203k%7D)
Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign
![\longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B1.5k%20%2B%203k%20%3D%2018%20-%204.5%7D%7D)
Collect like terms
![\longrightarrow{ \sf{4.5k = 18 - 4.5}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B4.5k%20%3D%2018%20-%20%204.5%7D%7D)
Subtract 4.5 from 18
![\longrightarrow{ \sf{4.5k = 13.5}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B4.5k%20%3D%2013.5%7D%7D)
Divide both sides by 4.5
![\longrightarrow{ \sf{ \frac{4.5k}{4.5} = \frac{13.5}{4.5} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B4.5k%7D%7B4.5%7D%20%20%3D%20%20%5Cfrac%7B13.5%7D%7B4.5%7D%20%7D%7D)
Calculate
![\longrightarrow{ \sf{k = 3}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7Bk%20%3D%203%7D%7D)
Hope I helped!
Best regards! :D