MATHEMATICS HIGH SCHOOL

If x is an integer, then is -x positive?

Answers

Answer 1

Answer:

Answer:

If x is an integer, then for values of x ≤ 0 would -x be positive.

General Formulas and Concepts:

Math

Integers

Step-by-step explanation:

We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.

If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.

∴ x can only be negative integers, thus giving us x ≤ 0.

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A decimal outline is an outline that uses notations such as __________. 1.1, 1.2, and 1.3 I, II, and III A, B, and C a, b, and c

Answers

A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. The second outline is Roman numerals while the third is Letter notation.

The correct answer is: 1.1, 1.2, and 1.3

Explanation:
A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. In decimal outline, the notations have to be numbers, not letters or roman numerals.

Examples of Decimal Outline:
1. 1.1, 1.2, 1.3...
2. 2.1, 2.2, 2.2...

The other options, however, are either roman numerals or the letters.
Like:
Roman numerals: I, II, and III
Letters: A, B, and C; a, b, and c

Hence the correct answer is 1.1, 1.2, and 1.3.

Beverly needs to make a container in the shape of a rectangular prism that holds 1000 in3 of liquid. The height of the container must be 10 in. She wants to use the dimensions that will allow her to use the least amount of material possible. Beverly’s mother says the difference in the amount of material will be too minor to worry about. Beverly believes it is possible to save more than half the material needed if they pick the right dimensions. Who is correct? Support your answer with specific numbers, and explain your reasoning. The dimensions are measured in whole units.

Answers

Given:
volume = 1,000 in³
height = 10 in

1,000 in³ / 10 in = 100 in² Area.

100 in²

Length Width Surface Area of the Rectangular prism
100 in 1 in 2,220 in²
50 in 2 in     1,240 in²
25 in 4 in    780 in²
20 in 5 in    700 in²


Surface area = 2(wl + hl + lw)

The best dimension is 20 inches by 5 inches by 10 inches. It has lesser surface area than other dimensions. Thus, it can save more materials.

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