Answer:
the fraction (-7/1) would be an integer
Step-by-step explanation:
cuz the number is rly -7 which is a whole number which is an integer
 
        
             
        
        
        
Answer:
5:15 is the ratio for the amount of <u>circles</u> to total shapes.
Step-by-step explanation:
There are 5 circles and 15 shapes total.
So the ratio of circle to the total amount of shapes is 5:15
Hope I helped :)
Please consider Brainliest :)
 
        
             
        
        
        
Answer:
Point A(9, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>  
Order of Operations: BPEMDAS  
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties  
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>  
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Anything to the 0th power is 1
- Exponential Rule [Rewrite]:                                                                                
- Exponential Rule [Root Rewrite]:                                                                     ![\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)  
<u>Calculus</u>  
Derivatives  
Derivative Notation  
Derivative of a constant is 0  
Basic Power Rule:  
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:                                                                                    ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /> <em />
<em />
<em /> <em />
<em />
<em />
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:                                    
- Basic Power Rule:                                                                                              
- Simplify:                                                                                                              
- [Derivative] Rewrite [Exponential Rule - Rewrite]:                                           
- [Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                  
<u>Step 3: Solve</u>
<em>Find coordinates of A.</em>
<em />
<em>x-coordinate</em>
- Substitute in <em>y'</em> [Derivative]:                                                                              
- [Multiplication Property of Equality] Multiply 2 on both sides:                       
- [Multiplication Property of Equality] Cross-multiply:                                       
- [Equality Property] Square both sides:                                                            
<em>y-coordinate</em>
- Substitute in <em>x</em> [Function]:                                                                                 
- [√Radical] Evaluate:                                                                                          
∴ Coordinates of A is (9, 3).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
 
        
             
        
        
        
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. 
2. 
Now consider,

⇒ 
⇒ 
⇒ 
⇒ 
        = 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.