Answer:
Let the smaller integer be x and greater integer be (x+1)
x+(x+1)=91
2x+1=91
2x=91-1=90
x=90/2
x=45
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.




Now we can plug the value of  back into the expression we were given for the line KL.
 back into the expression we were given for the line KL.


 
        
             
        
        
        
Answer:
f(x) = x³ - 5x² - 9x + 45
Step-by-step explanation:
Given x = a, x = b are the zeros of a polynomial, then
(x - a), (x - b) are the factors and f(x) is the product of the factors.
Here the zeros are x = - 3, x = 3 and x = 5, thus
(x + 3), (x - 3) and (x - 5) are the factors and
f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL
      = (x² - 9)(x - 5) ← distribute
     = x³ - 5x² - 9x + 45
     
 
        
             
        
        
        
Answer:
A. 
Step-by-step explanation:
We have the expression
![log_{3} (\sqrt[5]{x} *y)](https://tex.z-dn.net/?f=log_%7B3%7D%20%28%5Csqrt%5B5%5D%7Bx%7D%20%2Ay%29)
As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version
![log_{3}\sqrt[5]{x} +log_{3}y](https://tex.z-dn.net/?f=log_%7B3%7D%5Csqrt%5B5%5D%7Bx%7D%20%2Blog_%7B3%7Dy)
The ![\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D) can be rewritten as
 can be rewritten as  . This allows us to use the exponent rule. This means that it can be written as
. This allows us to use the exponent rule. This means that it can be written as

 
        
                    
             
        
        
        
Answer:
A,C,D,F
Step-by-step explanation: