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3 years ago

For which prime p,p4+8 is also a prime number

Mathematics

1 answer:

irina [24]3 years ago

5 0

Answer: p = 3.

Step-by-step explanation:

Ok, this must be:

p and p^4 + 8

ok, it may be useful to remember the first prime numbers:

2, 3, 5, 7, 11, 13...

So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:

First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.

now let's try p = 3.

3^4 + 8 = 81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.

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1 year ago

Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2). y =

Vika [28.1K]

Answer:

$y = x+12$

Step-by-step explanation:

Parallel => This means it has the same slope as this one.

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

Putting this in slope intercept form to get b

$y = mx+b$

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3 years ago

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bixtya [17]

Answer:

Options (A), (B) and (C)

Step-by-step explanation:

In the given figure,

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If this side is scaled by a factor = k

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If 0 < k < 1,

Then length of the corresponding side will be less than 16.

[Example: If k = $\frac{1}{4}$

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That means length of corresponding sides may be 4, 6.5 and 12.

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3 years ago

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48 strips of fabric.

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3 years ago

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PtichkaEL [24]

Answer:

See the answers bellow

Step-by-step explanation:

For 51:

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For 52:

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For 53:

As he will spend $10 dollars on shipping, so he has $110 for buying bulbs. As every bulb costs $20 and he cannot buy parts of a bulb (this is saying you that the domain is in integers) he will, at maximum, buy 5 bulbs at a cost of $100, with $10 resting. He can not buy 6 bulbs and with this $10 is impossible to buy 0.5 bulbs. So, the domain is in integers from 1 <= n <= 5. Option 4.

For 54:

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3 years ago