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Hitman42 [59]
2 years ago
5

Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the

two functions. over the interval , the average rate of change of g is greater than the average rate of change of f. as the value of x increases, the average rates of change of f and g , respectively. when the value of x is equal to 8, the value of . it can be further generalized that a quantity increasing exponentially will exceed a quantity increasing linearly.
Mathematics
1 answer:
MrRissso [65]2 years ago
7 0

The answers will be:

  1. (4, 5)
  2. remain constant and increase
  3. g(x) exceeds the value of f(x)

<h3>What is Slope and curve?</h3>

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

To know more about Slope follow

brainly.com/question/3493733

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Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

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Now use the grouping method, take out the highest common factor between the two sets of terms:

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Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
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thus
(2y-3x)(5y-2x)
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3 years ago
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Ymorist [56]

Answer is the third one. It is the only answer where all points work in the equation.

Answer: third choice

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