Answer: -4m-10< -22 and -8>22
Step-by-step explanation:
These solutions can be called “roots”, “zeroes”, and “x-intercepts”.
![\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bx%7D%7B4x%2Bx%5E2%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%284%2Bx%29%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B4%2Bx%7D%5Cqquad%20%5C%7Bx%7Cx%5Cin%20%5Cmathbb%7BR%7D%2C%20x%5Cne%20-4%5C%7D)
if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.
Well, the interseciton of 2 planes would be a line, so it would be like line AB when it goes through the 2 points A and B
Answer:
The volume of the balloon is 18.84 inches³
Step-by-step explanation:
* Lets talk about the sphere
- Its a solid
- It has surface area = 4πr²
- It has no lateral area
- It has no faces
- It has no vertices
- It has no edges
- Its volume = (4/3) π r³
* In our problem the balloon shaped a sphere
- Its radius = 4.5 inches
- The value of π = 3.14
* Lets calculate its volume
∵ The radius = 4.5 inches
∵ π = 3.14
∵ The volume = (4/3) π r³
* Substitute the values of r and π in the formula
∴ The volume = (4/3) × 3.14 × 4.5 = 18.84 inches³
* The volume of the balloon is 18.84 inches³
