Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
1 answer:
A function assigns the values. The average rate of change for the given function g(x) is 1.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
Hence, the average rate of change for the given function g(x) is 1.
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Answer:
27
Step-by-step explanation:
first we can simplify by dividing by r
the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1
finally we can evaluate when r =3,
9r = 9(3) = 27
First ("first" terms of each binomial are multiplied together)
Outer ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second)
Inner ("inside" terms are multiplied—second term of the first binomial and first term of the second)
Last ("last" terms of each binomial are multiplied)
Outer ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second)
Inner ("inside" terms are multiplied—second term of the first binomial and first term of the second)
Last ("last" terms of each binomial are multiplied)