Answer:
The constant of variation is 3
Step-by-step explanation:
Given.


And y is directly related to x
 ∝ 
Here k is constant of variation

--------------(1)
Put the 
 and 
 value in equation 1.


So, the constant of variation is 3.
 
        
             
        
        
        
Answer:
2967 yes votes
Step-by-step explanation:
Welcome to Brainly!
One way of doing this problem follows:
Find the ratio, r, mentioned in the problem statement.  To do this,
write the equation 3r + 5r = 7912 and solve this for r:
8r = 7912, so that r = 989.
Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.
check:  Does the ratio 2967/4947 equal 3/5?  yes.
There were 2967 yes votes.
 
        
             
        
        
        
Answer:
(-6,8) is your answer.
Step-by-step explanation:
1. 2x + 3y = 12
2. 2x +3 * 8 = 12
3. 2x + 24 = 12
4. 2x = -12
5. x = -6
So, our final answer is (-6,8) 
 
        
             
        
        
        
Answer:
y = kx+b
Step-by-step explanation:
use dis
 
        
             
        
        
        
Answer:
d and e
Step-by-step explanation:
To factor 4x² + 17x - 15
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × - 15 = - 60 and sum = + 17
The factors are + 20 and - 3
Use these factors to split the middle term
4x² + 20x - 3x - 15 ( factor by grouping the first/second and third/fourth terms )
= 4x(x + 5) - 3(x + 5) ( take out the common factor (x + 5) )
= (x + 5)(4x - 3) → d/e