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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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I need help on this math question
xz_007 [3.2K]

Answer:

slope = \frac{4}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = \frac{4-0}{2-(-3)} = \frac{4}{5}

4 0
2 years ago
Read 2 more answers
30g of sugar is used to make 4 cakes. How much sugar is used to make 7 cakes
tankabanditka [31]

Answer:

52.5

Step-by-step explanation:

well first you want to find the ratio and to do that just do 30 / 4 which is

7.5 so for every 1 cake you need 7.5 grams of sugar

if you plug in 7 it is just 7 * 7.5

7 * 7.5 = 52.5

so it takes 52.5 grams of sugar to make 7 cakes

hope this helps please make brainliest

4 0
3 years ago
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Where is m and p I don't know because it's confusing
Natasha_Volkova [10]
M is 1.75 and P is 2.5
6 0
3 years ago
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What is the average of 3.28+6.90+5.30+12.00+4.77
schepotkina [342]
The answer should be 32.25
6 0
3 years ago
(6z 2 - 4z + 1)(8 - 3z).
Yakvenalex [24]
Distributive property
a(b+c)+ab+ac
a(b-c)=ab-ac

(6z^2-4z+1)(8-3z)
move for nicety
(8-3z)(6z^2-4z+1)
distribute
8(6z^2-4z+1)-3z(6z^2-4z+1)=
48z^2-32z+8-18z^3+12z^2-3z=
-18z^3+48z^2+12z^2-32z-3z+8=
-18z^3+60z-35z+8
7 0
3 years ago
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