Given:
The inequality is:
To find:
The domain and range of the given inequality.
Solution:
We have,
The related equation is:
This equation is defined if:
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
Answer:
6 511 104 in³
Step-by-step explanation:
Since we have 1 crate and 8 boxes fit into one crate.
So, volume of one crate, V' = 8 × volume of 1 box, V
Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.
So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³
So, V' = 8 × 813 888 in³ = 6 511 104 in³
So, the minimum volume of the crate is 6 511 104 in³
Answer:
13/15
Step-by-step explanation:
The fraction of the cookies that are chocolate chip can be determined by solving this equation
1 - (
- 
)
1 - 
1 - 
- = 
= 13/15
Answer:
To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.
Step-by-step explanation:
Answer:
The pair which are inverse of each other are:
Option: C
Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
and 
Now we calculate fog(x):
Hence, option: A is incorrect.
B)
Now we calculate fog(x):
Hence, option: B is incorrect.
D)
![f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3](https://tex.z-dn.net/?f=f%28x%29%3D9%2B%5Csqrt%5B3%5D%7Bx%7D%5C%20and%5C%20g%28x%29%3D9-x%5E3)
Now we calculate fog(x):
![fog(x)=9+\sqrt[3]{9-x^3}\neq x](https://tex.z-dn.net/?f=fog%28x%29%3D9%2B%5Csqrt%5B3%5D%7B9-x%5E3%7D%5Cneq%20x)
Hence, option: D is incorrect.
C)
Now we calculate fog(x):
Similarly,
Hence, option: C is the correct option.
