The required answer is decimal representation of long division 21 divided by 8 equals 2.625.
To divide 21 by 8 using decimal long division, follow these steps:
Step 1: Set up the division problem:
2.625
_______
8 | 21.000
Step 2: Divide the first digit of the dividend (2) by the divisor (8). The result is 0.25.
Step 3: Write the result (0.25) as the decimal part of the quotient above the division bar, directly above the decimal point in the dividend:
2.625
_______
8 | 21.000
0.25
Step 4: Multiply the divisor (8) by the decimal part of the quotient (0.25) and write the result below the dividend, aligning the decimal points:
2.625
_______
8 | 21.000
16.00
Step 5: Subtract the result from the previous step from the dividend:
2.625
_______
8 | 21.000
- 16.00
-------
5.00
Step 6: Bring down the next digit from the dividend (if any). In this case, there are no more digits in the dividend.
Since there are no more digits to bring down, we can stop the division. The quotient is 2.625.
Therefore, the decimal representation of long division 21 divided by 8 equals 2.625.
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Answer:
x < 0 or x > 3
Step-by-step explanation:
First, we'll solve 5x - 11 < -11.
5x < 0 so x < 0.
As for 4x + 2 > 14, 4x > 12 which means x > 3.
Answer:
If x is an integer, then for values of x ≤ 0 would -x be positive.
General Formulas and Concepts:
Math
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.
4m – 2m4 – 6m2 + 9
An equation which represents the polynomial written in standard form is 2m⁴ - 6m² + 4m + 9.
A polynomial can be defined as a mathematicalexpression which is comprises intermediates (variables), constants and exponents with different numerical value, that are typically combined by using mathematical operations such as:
In this scenario, the polynomial would be written in standard form by rearranging it in descending degree of exponents:
2m⁴ - 6m² + 4m + 9.
Read more on polynomials here: brainly.com/question/1600696
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2C+3D=1
-3C+D=15