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2 years ago

I need to find the answer to this question and please explain how.

Mathematics

1 answer:

deff fn [24]2 years ago

8 0

Among the given statements, the true statements are:

If a number is divisible by 3 and 4, then it is divisible by 12.
The number 119 is a composite number.

In the question, we are asked for the true statements among the given options:

1. All even numbers are composite numbers.

Answer - False

Reason - 2 is an even number, which is not a composite number.

2. If a number is divisible by 3 and 4, then it is divisible by 12.

Answer - True

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 3 and 4 is 12.

3. All prime numbers are odd numbers.

Answer - False

Reason - 2 is a prime number, which is not odd.

4. The number 119 is a composite number.

Answer - True

Reason - The number 119 is a composite number, as it is not a prime number, as it is divisible by 7 and 17 too, other than 1 and itself.

5. 12 is a factor of 6.

Answer - False.

Reason - When 6 is divided by 12, the integral quotient that we get is 0, and the remainder is 6, but for any number x, to be a factor of y, on dividing y by x, the remainder should be 0.

6. If a number is divisible by 6 and 4, then it is also divisible by 4.

Answer - False

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 6 and 4 is 12.

Thus, a number divisible by 6 and 4 is divisible by 12 but not necessarily by 24. Example 12 is divisible by both 6 and 4 but not divisible by 24.

Thus, among the given statements, the true statements are:

If a number is divisible by 3 and 4, then it is divisible by 12.
The number 119 is a composite number.

Learn more about divisibility at

brainly.com/question/26789053

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3 years ago

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marissa [1.9K]

Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4

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Similarly the range in interval notation is also $[-4,4]$ because the lowest you can go is y = -4. The highest you can go is y = 4

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3 years ago

Which line is parallel to the line 8x + 2y = 127

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3 years ago

Read 2 more answers

Write a polynomial FOR A third-degree polynomial with leading coefficient -4

umka2103 [35]

Answer:

$-4x^3 + 2x^2-3$

Step-by-step explanation:

Degree is the highest exponent on the variable in a polynomial.

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4 years ago