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Ierofanga [76]
3 years ago
12

I need help plz thank u

Mathematics
2 answers:
kati45 [8]3 years ago
7 0
The rangee is answer choice d
Lana71 [14]3 years ago
7 0
I think it's b because range is the highest minus the lowest pretty sure
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Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

3 0
3 years ago
A cell phone company offers service for a flat rate of 20$ per month,plus 3 cents a minute. Which expression could represent the
ElenaW [278]

Answer:

20 + 3x = x

Step-by-step explanation:

4 0
3 years ago
motorcycle cover 210 kilometre distance with 5 l of petrol how many kilometre does it cover with 8 litre of petrol? how much pet
Likurg_2 [28]

Answer:

A: 336 km

B: 14 L

Step-by-step explanation:

Use a proportion

210 km / 5 L = x / 8L         Cross multiply

8*210  = 5 x

1680  = 5x

x = 1680 / 5

x = 336 km

===============

210 /5 = 588/x                   Cross multiply

210x = 588 * 5

210x = 2940                     Divide by 210

x = 2940/210

x = 14 L

3 0
3 years ago
Can anyone help with this?
Rufina [12.5K]

Answer:

Second option is the right choice.

Step-by-step explanation:

SSS.

6 0
3 years ago
Read 2 more answers
Im really bad at math
densk [106]

Answer:

2.5

Step-by-step explanation:

3 0
3 years ago
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