Hello!
(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45
x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45
Under what conditions do (a+b) equal -12 and ab equal -45?
+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45
Conclusion:
(x+3)(x-15)
The work is illustrated and shown.
Possible outcomes:
Heads Heads
Heads Tails
Tails Tails
Tails Heads
Probability of matching: 2/4 = 0.5
Torin should consent since the suggestion is equitable
Answer:
Option C. 32/3
Step-by-step explanation:
It is understood that
A relationship between two variables, x and y, signifies inverse variation if it can be represented as either
or 
It is also known that
For p=14, x=16
Determine the value of k

By substituting these values

This shows that
The equation equals

Calculate the value of p when x=21
Substitute the given value of x into the equation
Simplify
Divide both the numerator and denominator by 7
Answer:
The detailed work and solution can be found in the attachment
Step-by-step explanation: