Answer:
This is ur ans
Step-by-step explanation:
a.y=5x or x=y/5
b.y=60
 y/x=5
 y/12=5
y=60
 
        
             
        
        
        
For the expression to be factor-able the Discriminant  , has to be greater or equal to zero
ax^2 + cx + b = 0
c^2 - 4 ab >= 0 
(-3)^2 - 4 * 1 * b >= 0 
9 - 4b >= 0
9 >= 4b
b <= 9/4  (2.25)
Pick any value in that range for ex:
0 , 2,  -3, -6
        
             
        
        
        
Answer: $2,000,000
Explanation: Let X be the amount of Avery's investment. Since she will receive $40,000 every year for the next six years, the most she will earn is 
$40,000 × 6 = $240,000. 
Since she wants to earn 12% on her investment, her earnings is equal to 12% of X = 0.12X. Since the most she will earn is $240,000,
0.12X ≤ 240,000
X ≤ 240,000 ÷ 0.12 = 2,000,000 (Divide both sides by 0.12)
Hence X ≤ 2,000,000. Therefore, the most amount she should invest is $2,000,000.
        
             
        
        
        
Answer:
The slope is -3
Step-by-step explanation:
We can find the slope using
m = (y2-y1)/(x2-x1)
    = (-5-1)/(4-2)
    = -6/2
     = -3
 
        
             
        
        
        
Answer:
1. P(P) = 8/20 = 0.4
2. P(G) = 12/20 = 0.6
Step-by-step explanation:
Given;
Number of green marbles G = 12
Number of purple marbles P = 8
Total T = 12+8 = 20
The probability that you choose a purple marble P(P) is;
P(P) = number of purple marbles/total number of marbles
P(P) = P/T = 8/20 = 0.4
P(P) = 0.4
The probability that you choose a Green marble P(G) is;
P(G) = number of Green marbles/total number of marbles
P(G) = G/T = 12/20 = 0.6
P(G) = 0.6