Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
Answer:
The solution to the inequality is:
![x](https://tex.z-dn.net/?f=x%3C5)
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
![2(x-3)-8< -4](https://tex.z-dn.net/?f=2%28x-3%29-8%3C%20-4)
Add 8 to both sides
![2\left(x-3\right)-8+8](https://tex.z-dn.net/?f=2%5Cleft%28x-3%5Cright%29-8%2B8%3C-4%2B8)
![2\left(x-3\right)](https://tex.z-dn.net/?f=2%5Cleft%28x-3%5Cright%29%3C4)
Divide both sides by 2
![\frac{2\left(x-3\right)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cleft%28x-3%5Cright%29%7D%7B2%7D%3C%5Cfrac%7B4%7D%7B2%7D)
![x-3](https://tex.z-dn.net/?f=x-3%3C2)
Add 3 to both sides
![x-3+3](https://tex.z-dn.net/?f=x-3%2B3%3C2%2B3)
![x](https://tex.z-dn.net/?f=x%3C5)
Thus, the solution to the inequality is:
![x](https://tex.z-dn.net/?f=x%3C5)
The number line solution graph is also attached below.
3x+3 = x-1
2x+3 = -1 (subtracted x from both sides)
2x = -4 (subtracted 3 from both sides)
x = -2 (divided 2 from both sides).
Answer:
I think the figure of N and E of 48in is 2304. The figure of I and E and N and A of 32in is 1024. The figure of L and I and L and A is 144.
Step-by-step explanation:
To find the area, you have to multiply of each side in each figure. For example, Figure A and B and C and D of 16in is 16 × 16 which is 256.
A = Area
a = Side
A = 2304, A = a^2 = 48^2 = 2304.
A = 1024, A = a^2 = 32^2 = 1024.
A = 144, A = a^2 = 12^2 = 144.
I hope this answers your question!
Answer:
-6 -4 3 7
Step-by-step explanation:
This is right because if it goes- it goes lower and if it goes up on + it goes higher.