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3 years ago

Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

Answer:

maybe

Step-by-step explanation:

If p is prime, then answer is NO. If p is not prime, the answer is YES.

Some positive integers are prime; some are not. We need to know more about p before we can give a better answer than this.

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Determine the open intervals on which the graph of f(x) = x - 4cos x is concave upward or concave downward

bazaltina [42]

The graph of the function $f(x)$ is

concave upward, when $f''(x)>0;$
concave downward, when $f''(x)$

Find $f''(x):$

$f'(x)=(x-4\cos x)'=1+4\sin x;$

$f''(x)=4\cos x.$

Now:

1. when $4\cos x>0,$ the graph of the function is concave upward and this is for

$x\in \left(-\dfrac{\pi}{2}+2\pi k,\dfrac{\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

2. when $4\cos x$ the graph of the function is concave downward and this is for

$x\in \left(\dfrac{\pi}{2}+2\pi k,\dfrac{3\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

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2 years ago

on Monday it rained 1 3/4 of an inch and on Tuesday it rained 2 2/3 of an inch. how many inches did it rain altogether?

iogann1982 [59]

Answer:

4 5/12

Step-by-step explanation:

Convert to mixed fraction 7/4 + 8/3

Find common denominator, 12

21/12 + 32/12

add numerators (21+32)/12 = 53/12

reduce fraction 4 5/12

8 0

2 years ago

Is this a proportional relationship c=7n+2

just olya [345]

Answer:

Step-by-step explanation:

A proportional relationship must go through (0,0)

c=7n+2

0 = 7(0) +2

0 = 2

This is not true so it is not a proportional relationship

8 0

2 years ago

A graph is shown below. What is the constant and proportionality for the line on the graph below? A:-3/2 B:-2/3 C:2/3 D:3/2

baherus [9]

Answer: -3/2

Explanation: Start from -3 and go over 2 then where u stopped go down 3 from there and over 2 again and u will get -3/2

8 0

2 years ago

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Ivahew [28]

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2 years ago