The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1
<h3>How to determine the expression for ab - c?</h3>
The polynomials are given as:
a = n
b = 2n + 6
c = n² - 1
The expression ab - c is calculated using:
ab - c = n * (2n + 6) - (n² - 1)
Expand
ab - c = 2n² + 6n - n² + 1
Collect like terms
ab - c = 2n² - n² + 6n + 1
Evaluate
ab - c = n² + 6n + 1
Hence, the expression for ab - c is n² + 6n + 1
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Answer:
see the attachment photo!
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:
g(x) = 3x²+3x
B.) Substitute x=4 to the two functions.
f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837
g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60
C.) The percentage error is equal to:
Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%
D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
Hello how are you doing so the answer for this question is going to be maybe it’s going to be A
312 I think, hop[e this helps
