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Gala2k [10]
3 years ago
5

"If an integer n is odd, then n+1 must be even."

Mathematics
2 answers:
vaieri [72.5K]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

for example

n = 3. odd

n + 1 = even

3 + 1 = 4

4 (even number)

gladu [14]3 years ago
6 0

Answer:

True.

Step-by-step explanation:

Let me clear it to you by an example:

if you take n=1,3,5,7,...... which are odd numbers

then adding 1 with them will give you n+1=2,4,6,8.... which are even numbers.

That's how, if an integer n is odd, then n+1 must be even.

Similarly, if you let n as even numbers, then n+1 will be odd.

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I’m confused on this one
andrew-mc [135]

First we need to know the point slope form. It is y - y1 = m(x - x1). In the y1 and x1 spots, you just plug in any coordinate on the line.

m would be the slope which we already know as 5/3.

We are given the coordinate point (0,3) as a point on the line. This is also what we are going to plug into the equation. 0 will be x1 and 3 will be y1.

Our equation should then look like after plugged in as....

y - 3 = 5/3(x)

x is by itself because subtracting or adding by 0 yield the original number.

6 0
3 years ago
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a he
Shtirlitz [24]

A) Sample size of compound event = 25

B) New Sample size = 36.

What is Compound event?

A compound event is one that has more than one sample point. Simple events are less complicated than compound events. These occurrences entail the possibility of multiple occurrences. One is the probability of all possible outcomes of a compound event.

An event that consists of two or more simple events is called a compound event. Simple events are those that can only have one result, whereas complex events can have a variety of distinct results. Compound events can consist of several independent or dependent occurrences, where the result of one event has no bearing on the likelihood of the other.

Given,

Number of buttons in a container = 5

Lucas picks one button, replaces it and then picks another.

Therefore,

Sample size of the compound event

                 n = 5\times5

                 n  = 25\\

Now, one more button is added in the container and in total there are 6 buttons.

Lucas repeats the same process again and hence,

Sample size of the new compound event will be,

                  n = 6\times6

                  n = 36

Full Question is - Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is  ___  Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____

To know more about compound event.......

brainly.com/question/12314211

#SPJ4

4 0
2 years ago
Which of the following is the quotient of the rational expressions shown here?
svetoff [14.1K]

For this case we must find the quotient of the following expression:

\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}

Applying double C we have the following expression:

\frac {x (x + 1)} {x-1} =

Applying distributive property to the terms within the parentheses of the numerator we have:

\frac {x ^ 2 + x} {x-1}

Thus, the quotient is given by option A

Answer:

Option A

3 0
3 years ago
Read 2 more answers
Whatt is the justification of the 2 step of the proof?
Lera25 [3.4K]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Jenny knit a total of 12 centimeters of scarf over 2 nights. How many nights will Jenny have
faust18 [17]

As we can assume the relationship is directly proportional, we have to build the proportion and do the cross product. So:

\begin{gathered} \frac{12cm}{\text{2 nights}}=\frac{18cm}{x\text{ nights}} \\ 12x=2\cdot18 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}

She needs 3 nights

4 0
1 year ago
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