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mafiozo [28]
3 years ago
9

Help in details please on how to do the graph

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

this is the parts of the box plot

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Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
the sum of three integers is 92. the second number is three times the first number. the third number is ten less than twice the
Elanso [62]

1st number = x

 2nd number = 3x

3rd number = 2x-10

x +3x + 2x-10 =92

6x - 10 = 92

6x =102

x = 102/6

x = 17

1st number = 17

2nd number = 17*3 = 51

 3rd number = 17 *2 = 34-10 = 24

17 + 51 + 24 = 92

 3 numbers are 17, 51 and 24

8 0
3 years ago
Isabell is thinking of a even number between 234 and 250 the sum of the digits is double the digit in the ones place what is Isa
Lelu [443]

Answer:

246.

Step-by-step explanation:

Let the number be 2xy, then

2 + x + y = 2y    and y must be even because the whole number is even.

y = 2 + x .

Now x must be even because y is even.

The only 2 numbers which fit are x = 4 and y = 6 so the number is 246.

Checking: 2+4+6 = 12 and 12 = 2*6.

5 0
3 years ago
10=3x+1-4<br> How do I solve this problem?
scZoUnD [109]
Your answer issssss 0 !!
5 0
3 years ago
Read 2 more answers
Evaluate 10m + n2/4 when m = 5 and n = 4
Allushta [10]

Answer:

54

Step-by-step explanation:

we have

10m+\frac{n^{2}}{4}

For m=5.n=4

substitute the values of m and the value of n in the equation

so

10(5)+\frac{4^{2}}{4}

50+4

54

3 0
3 years ago
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