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Ksenya-84 [330]
3 years ago
10

Find the relative rate of change of f(x)=12+2e^-2x

Mathematics
2 answers:
Luda [366]3 years ago
5 0
<span>The relative rate of change of a function f(x) is the ratio of the derivative f'(x) to the function f(x). Since f'(x) = -4e^(-2x) the relative rate of change r = [-4e^(-2x)]/[12 + 2e^(-2x)]. This can be simplified by factoring a value of two resulting in: r = [-2e^(-2x)]/[6 + e^(-2x)]. This can be further re-arranged if desired into: r = -1/3 e^(-2x) - 2</span>
Alexxx [7]3 years ago
3 0
The rate of change of a given function is given by f'(x)=dy/dx
given that the function is:
f(x)=12+2^(-2x)
f'(x)=2*(-2)e^(-2x)
f'(x)=-4e^(-2x)
the relative rate of change will be the ratio of the derivative to the original function:
f'(x)/f(x)
=(12+2^(-2x))/(-4e^(-2x))

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If David earns $8/hr. plus 1.5 times his normal rate for any hours over 40, then how many hours of overtime each week does he ne
hodyreva [135]
55 hours 40 hours at $8 an hour equals $320 so then 15 hours which is the rest of the 55 hours at 12 an hour equals $180 and $320+$180=$500
8 0
3 years ago
Can someone help me? Please?
Gnoma [55]
1. false
2. false
3. true

5 0
3 years ago
Read 2 more answers
Classify the following random variables as discrete or continuous:
Bogdan [553]

Answer:

a. Discrete

b. Continuous

c. Continuous

d. Discrete

e. Discrete

f. Continuous

Step-by-step explanation:

The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions.

In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable .

a.

Variable X consists of number of automobile accidents which can be counted. So, it is a discrete variable.

b.

Variable Y consists of length of time which can't  be counted but can be measured. So, it is a continuous variable.

c.

Variable M consists of amount of milk produced which can't  be counted but can be measured. So, it is a continuous variable.

d.

Variable N consists of number of eggs laid which can be counted. So, it is a discrete variable.

e.

Variable P consists of number of buildings permit issued which can be counted. So, it is a discrete variable.

f.

Variable Q consists of weight of grain which can't  be counted but can be measured. So, it is a continuous variable.

3 0
3 years ago
7x - y = - 1 + -7x + 3y = - 25
Fittoniya [83]
Hope this helps you out :D

It’s 2 equations so in order to solve the previous system, you can use different methods, as for example substitution or addition of equations. In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace in any of the two equations and solve for x.

7x-y=-1
-7x+3y=-25

Summarizing, you proceed as follow:
- add up the given equations

7x - y = -1

-7x+3y=-25
——————
0 +2y=-26

- solve for y in the previous equation

2y=-26
y=-26/2
y=-13


- replace the obtained value of y in one of the given equations, and solve for x

7x-(-13)=-1

7x+13=-1

7x=-1-13

7x=-14

x=-14

x=-14/7

x=-2


Hence, the solution of the given systems of equation is:

X=-2

Y=-13

4 0
3 years ago
This is for 20 points!!!!!!!
3241004551 [841]

All really need to do is pick one number. so, we will go with 6 and 87.

6 times 12 is 72 then you subtract that from $87.

That would be 15

To double check, you can use another one. 9 and 123.

9 times 12 is 108. subtract that from 123 and you get 15.

Your answer is B) $15

Hope I helped :)

4 0
3 years ago
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