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monitta
3 years ago
10

True or False?In Exercise,determine whether the statement is true or false given that f(x) = In x.if it is false,explain why or

given an example that shows it is false.
f(x - 2) = f(x) - f(2), x > 2
Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

The given statement is false.

Step-by-step explanation:

We are given the following in the question:

f(x) = \text{In } x

The given statement is

f(x - 2) = f(x) - f(2), x > 2

Putting the values on the right side of the given statement

f(x-2)\\=\text{ln }(x-2) \neq \text{ln }x - \text{ln }2

Thus, the given statement is false.

This can be explained with the help of an example:

For x = 3

f(x-2) = f(3-2) = f(1)\\=\text{ln }1 = 0\\f(x)-f(2)\\=\text{ln }3-\text{ln }2 \\=0.4054

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Please help with both questions, thank you!
algol [13]

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

5 0
3 years ago
TOOS
Eddi Din [679]

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

Number of books, b = 3 for each child, c = 1 enrolled

Total number of books in class room :

Total number of books = Number of books per child * Number of child)

Total number of books = 3 * Numbe of child

7 0
3 years ago
Read 2 more answers
there has to be at least one operating path. Once a component fails on a path, that path is no longer operating. The reliability
Eva8 [605]

Answer:

R = P(R_1) P(R_2|R_1) P(R_3|R_2)*....*P(R_n |R_1,..., R_{n-1}

For this case the reliability of the sytem would be given by:

R= \prod_{i=1}^n R_i

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6

And replacing we got:

R = 0.95*0.95*0.5*0.79*0.6= 0.21389

Step-by-step explanation:

We can assume that the system work in series

If we have in general n units the reliability of the system is the probability that unit 1 succeeds and unit 2 succeeds and all of the other units in the system succeed. fror n units must succeed for the system to succeed. The reliability of the system is then given by:

R = P(R_1) P(R_2|R_1) P(R_3|R_2)*....*P(R_n |R_1,..., R_{n-1}

For this case the reliability of the sytem would be given by:

R= \prod_{i=1}^n R_i

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6

And replacing we got:

R = 0.95*0.95*0.5*0.79*0.6= 0.21389

8 0
3 years ago
WILL MARK BRAINLIEST <br> IF YOU DONT KNOW DONT ANSWER
Masja [62]

Answer:

I believe the answer is 1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1. Is 5(x+1) the same as 5x+1? Explain your
tatiyna

Answer:

Step-by-step explanation:

5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.

5 0
3 years ago
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