Part A: 3x + 15 = 5x - 25
Part B: x = 20
 
        
             
        
        
        
Answer:
P(A) = 3/20
Step-by-step explanation:
P(A)=P(blue)P(head)=(3/10)(1/2)=3/20
as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.
So in total
P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15
 
        
             
        
        
        
Answer:
x = -3
Step-by-step explanation:
2(x + 7) - 3 = 5     (given)
2x + 14 - 3 = 5     (Distributive Property)
2x + 14 = 8           (Addition Property of Equality)
2x = -6                  (Subtraction Property of Equality)
x = -3                    (Division Property of Equality)
 
        
             
        
        
        
Answer:
g(x) is a quadratic function ⇒ 2
Step-by-step explanation:
- The quadratic function is the function that has 2 as the greatest power of the variable 
- The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant
Let us use the information above to solve the question
∵ f(x) = 
∵ x is the exponent of the base 1.5
→ That means f(x) is not in the form of the quadratic function
∴ f(x) is not in the form of the quadratic function above
∴ f(x) does not represent a quadratic function
∴ f(x) is not a quadratic function
∵ g(x) = 500x² + 345x
∴ The greatest power of x is 2
→ That means g(x) is in the form of the quadratic function above
∵ g(x) is in the form of the quadratic function above, where a = 500, 
    b = 345, and c = 0 (constant values)
∴ g(x) represents a quadratic function
∴ g(x) is a quadratic function