Simplify the expression. Justify that the expressions are equivalent using x = 2. –4(5x + 2) – 6(x – 3) What is the simplified e
2 answers:
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Part A: We know that the equation for finding the area of a triangle is 
; we also know that 
and 
, so the only thing we need to do is replacing those values into our Area equation and solve for x:
Now the only thing left is factor the quadratic polynomial:
W can conclude that the area of our triangle is
Part B: Our polynomial has three terms, so is a trinomial; also, our polynoal only has one variable,
, and the largest exponent of that variable is 2; therefore is a degree 2 polynomial. In summary, we have a trinomial of degree 2.
Part C: Part A demonstrate the closure property of polynomials because after multiplying tow polynomials we obtained another polynomial.
Now the only thing left is factor the quadratic polynomial:
W can conclude that the area of our triangle is
Part B: Our polynomial has three terms, so is a trinomial; also, our polynoal only has one variable,
Part C: Part A demonstrate the closure property of polynomials because after multiplying tow polynomials we obtained another polynomial.
Answer:
E(Y) = 1.666667
Step-by-step explanation:
By E(Y), we mean the expected value of Y. This is given as:
E(Y) = ,
Where F is the frequency.
As given:
The sample space (S) = {T,T,H}
And has a probability of:
H = 1/3
T = 2/3.
Frequency:
H = 1
T = 2.
Thus,
E(Y) = 1*(1/3) + 2*(2/3)
E(Y) = 1.666667.