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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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explain how to use place value and the distributive property to find the product of 828 and 9 help asap please
Ivan
Ok, so
a(b-c)=ab-ac
9 is close to 10 so

828(9)=
828(10-1)=
828(10)-828(1)=
8280-828=
7000+1280-828=
7000+452=
7452
8 0
3 years ago
Read 2 more answers
Find the value of each variable.
Pepsi [2]

Answer:

x = 4

Step-by-step explanation:

the given figure is of an isoceles triangle.

The two angles opposite are congruent(i.e78 degrees) .

That is the sides opposite to them are also congruent.

I. e 4x + 23 = 10x - 1

I. e 4x - 10x = -1 -23

I. e -6x = -24

I. e -x. = -24/6

Dividing by 6 to 24 we get,

-x = -4

therefore by removing the minus sign from both the sides,

the answer comes x = 4

8 0
2 years ago
lol, i was doing just fine on this hw until this. Pleeze help! solve for d+2 &gt; 6. I am offering twenty-five Points
expeople1 [14]

Hello from MrBillDoesMath!

Answer:

d>4

Discussion:

I understand the question is asking us to solve for "d" in the inequality:

d + 2 > 6              => subtract 2 from both sides

d + 2 -2 > 6 - 2   => as 2 - 2 = 0

d > 6 -2 = 4


If I have misunderstood the question, please tell me.



Thank you,

MrB

4 0
2 years ago
This is for an exam please help IM LITERALLY GIVING YOU ALL OF MY POINTS!!!
Ymorist [56]

Answer:

The equations should have been added up to equal 180 instead of being set to equal each other. The two are supplementary angles, which can be seen due the rule that a pair of interior angles on the same side of the transversal is supplementary. To fix this issue from the work that they did, they should subtract the 140 from 180, so the correct measure of DKH is actually 40 degrees.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
6) What is 13% of 33.39?
icang [17]

Answer:

1. We assume, that the number 33.39 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 33.39 is 100%, so we can write it down as 33.39=100%.

4. We know, that x is 13% of the output value, so we can write it down as x=13%.

5. Now we have two simple equations:

1) 33.39=100%

2) x=13%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

33.39/x=100%/13%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13% of 33.39

33.39/x=100/13

(33.39/x)*x=(100/13)*x       - we multiply both sides of the equation by x

33.39=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x

33.39/7.6923076923077=x

4.3407=x

x=4.3407

now we have:

13% of 33.39=4.3407

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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