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3 years ago

Please help me with this maths question

Mathematics

1 answer:

Keith_Richards [23]3 years ago

8 0

Answer:

add all of them together then divide bye the number of lines

Step-by-step explanation:

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PLEASE HELP! YOU WILL GET 10 BRAINLIST!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER

valentina_108 [34]

Answer:

-2(y+4)-2y >8

-2y-8-2y>8

-4y-8>8

-4y<8+8

When you move a number on the other side it changes the side then > will become <

-4y<16

-4y/-4<16/-4

y<-4

5 0

3 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

3 years ago

Y=3x+2 please graph this line

klemol [59]

Answer:

Your graph would start at the point 0,2 (over 0 up 2). Other points would be (2,8), (4,14), (-2,-4), and so on. A good website for graphing is Desmos.com .you can plug an equation in and it will graph it for you!

Step-by-step explanation:

7 0

3 years ago

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The student body

Troyanec [42]

Answer:

735,130.

Step-by-step explanation:

The order of election of the 3 representatives does not matter so it is a combination.

The number of possible combinations

= 165! / 162! 3!

= (165 * 164 * 163) / (3*2*1)

= 735,130.

6 0

3 years ago

Select the correct answer.

Alex787 [66]

Answer:

A) y=3/2x-12

Step-by-step explanation:

Slope intercept formula is y=mx+b

mx is the slope.

B is the y intercept

8 0

3 years ago

Read 2 more answers