The third term of the expansion is 6a^2b^2
<h3>How to determine the third term of the
expansion?</h3>
The binomial term is given as
(a - b)^4
The r-th term of the expansion is calculated using
r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)
So, we have
3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)
Evaluate the sum and the difference
3rd term = C(4, 2) * (a)^2 * (-b)^2
Evaluate the exponents
3rd term = C(4, 2) * a^2b^2
Evaluate the combination expression
3rd term = 6 * a^2b^2
Evaluate the product
3rd term = 6a^2b^2
Hence, the third term of the expansion is 6a^2b^2
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average salary is equal to 37,500
maximum salary is 4500 +37,500 = 42,000
mnimum salary is 37,500 - 4500 = 33,000
the equation is |x − 37500| ≤ 4500 meaning the salaries range from $33,000 to $42,000
The value k = 5 will shift the parent function 5 units up. i.e. vertical shift of 5 units up.
