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3 years ago

What is the inverse of the function f(x) = 2x – 10?

1 answer:

6 0

Steps to finding the inverse:
1. Replace f(x) with y.
2. Swap x and y.
3. Solve the equation for y.

f(x) = 2x - 10
1. y = 2x - 10
2. x = 2y - 10
3. Add 10 to both sides
x + 10 = 2y
Divide both sides by 2
(x + 10)/2 = y
y = (x + 10)/2
f^-1(x) = (x + 10)/2

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A 22 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1011. Find the substance's half-

Eddi Din [679]

<span>Formula for exponential decay is:

N = No * e^-kt

N = 1/2(45) = 22.5

No = 45

k = 0.1109
The solution to your problem is as follows:

Let's try to solve the half-life if it is 45 grams, after which, you will now have an idea on how to solve the problem.

22.5 = 45 * e^(-0.1109t)

1/2 = e^(-0.1109t)

ln(1/2) = -0.1109t

t = (ln(1/2))/(-0.1109) = 6.25 days

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

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3 years ago

Give an example of each of the following or explain why you think such a set could not exist.

Oksanka [162]

Answer:

a.No

b.No

c.No

Step-by-step explanation:

a.No,Such set does not exist .A set of natural numbers is N

Every point of this set is an isolated point but no accumulation point

Accumulation point:It is defined as that point a of set Swhich every neighborhood contains infinitely many distinct point of set

$(a-\epsilon,e+\epsilon)\cap S-{a}\neq\phi$

Isolated point : it is defined as that point a of set S which neighborhood does not contain any other point of set except itself

$(a-\epsilon0,a+\epsilon)\cap S-{a}=\phi$

Interior point of set :Let $a\in S$ .Then a is called interior point of set when its neighborhood is a subset of set S.

$a\in(a-\epsilon,e+\epsilon)\subset S$

When a set is uncountable then interior point exist it is necessary for interior points existance .

Boundary points :Let $a\in S$ .If every non empty neighborhood of a intersect S and complement of S.

Every member of a set is a boundary point

b.No, such set does not exist .A non empty set with isolated point then the set have no interior points .By definition of interior point and isolated point .For example.set of natural numbers

c.No, Such set does not exist ,for example set of natural every point is an isolated point and boundary point.By definition of boundary point and isolated point

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3 years ago

Someone please help. It is easy

Juli2301 [7.4K]

Alright. So we have 2 eggs at 2.49 each. That is $4.98. We have .25 pounds cheese priced at $13.40 per pound. 13.40 x .25 = $3.35. Then we have juice at $5.49. If we add those up we get: 4.98+3.35+5.49=$13.82. Then we get $0.75 in change, so if we add $13.82 and 0.75 we get: $14.57

The answer is $14.57.
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