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muminat
3 years ago
15

Identify which of the following statement(s) is always true?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

\sqrt{n}=\sqrt{25}=5

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

\sqrt{n}=\sqrt{8}=2\sqrt{2}

Since 2\sqrt{2} is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

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The square of a number is equal to two less than three times the number. What are two possible values of the number?
ycow [4]

Answer:

A, 1,2

Step-by-step explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2

4 0
3 years ago
Find one-eight of the sum of 18 and the product of 6 and 1
4vir4ik [10]

Answer: 3

Step-by-step explanation:

The question is to calculate one-eight of the sum of 18 and the product of 6 and 1. This will be:

= 1/8 [18 + (6 × 1)]

= 1/8 [18 + 6]

= 1/8 × 24

= 3

The answer is 3.

8 0
3 years ago
Slove for g<br> 3/16= -5/4 +g
PSYCHO15rus [73]

Answer:

+g=3/16+5/4

the answer : 3/16+5/4

8 0
2 years ago
Factor the GCF: 15a+25b
Aleksandr-060686 [28]
The number that goes into 15 and 25 is 5. So after you factor this it would be 5(3a+5b). 
8 0
3 years ago
The BJ Electrical Company needs to hire master electricians and apprentices for a one week project. Master electricians receive
Stells [14]

Answer:

The BJ Electrical Company

The BJ Electrical Company should hire:

8 master electricians and

22 apprentices

in order to accomplish the project and still meet the contract safety requirements.

Step-by-step explanation:

Number of workers needed = 30

Class of workers:

Master electrician, with per week salary = $750 per worker

Apprentices, with per week salary = $350 per worker

Number of inspection hours required from each master electrician = 3 hours

Total inspection hours for the project = 25 hours

Average number of master electricians needed = 25/3 = 8.333 = 8

Number of each type of worker needed:

Master electricians = 8

Apprentices = 22 (30 - 8)

Cost to be incurred for workers:

Master electricians = $6,000 (8 * $750)

Apprentices =               7,700 (22 * $350)

Total labor cost =      $13,700

5 0
3 years ago
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