Factoring and Multiples

(18x^(2) - 3x)

'3x' is a common factor to both terms , so 'take it out'.

Hence

3x(6x - 1)

Fully factored.

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684, 696, 708, 720, 732, 744, 756, 768, 780, 792, 804, 816, 828, 840, 852, 864, 876, 888, 900, 912, 924, 936, 948, 960, 972, 984, 996.

The expression (2 \times 3b) simplifies to (6b). This is done by multiplying the coefficients 2 and 3 together, resulting in 6, while keeping the variable (b) intact. Thus, the final answer is (6b).

yes because 12 fits 4 times in 48

In every-day terms, 'The Mean' is called the 'Average'.

If the digits '504' add to '9' , then it is multiple of '9'. , or '9' is a factor'.

5+0+4 = 9

Hence 504 is a multiple of '9'

9)504 = 56 Ther answer!!!!

NB This is an arithmetic summation/factoring 'trick'.

e.g. 1125 also satisfied the rule

1+1+2+5 = 9

9)1125 - 125

To make 790 using the numbers 50, 25, 9, 7, 2, and 1, you can combine them as follows: (50 \times 15 + 25 \times 2 + 9 \times 2 + 7 + 2 + 1). Specifically, you can use 50 fifteen times (which gives 750), then add 25 twice (which gives 50), resulting in a total of 800. To adjust down to 790, you can modify the combination slightly or use fewer of the larger numbers. However, a more straightforward combination might be to calculate (50 \times 15 + 1) to reach exactly 790.

Form a 'step ladder ' of division.

2)3320 =

2)1660

2)830

2)415

5)83

83)83 = 1

When reduced to '1' you have all the factors.

So the prime factors of '3320' are 2,5,83.

The prime factorization of 54 is (2 \times 3^3), as it can be broken down into the factors 2 and 3 multiplied together three times. For 80, the prime factorization is (2^4 \times 5), since it can be divided into four 2s and one 5.

One out of ten of 20 is 2. This is calculated by dividing 20 by 10, which equals 2.

To find the greatest common factor (GCF) of 160 and 4800, you need to list the factors of each number. The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 320, 480, 960, and 4800. The GCF of 160 and 4800 is the largest number that appears in both lists, which is 80.

The four types of population factors are biological, environmental, social, and economic factors. Biological factors include birth rates, death rates, and reproductive rates that influence population growth. Environmental factors encompass resources like food, water, and habitat that affect population sustainability. Social and economic factors involve cultural practices, migration patterns, and economic conditions that shape population dynamics and distribution.

It is: 8 times 15 = 120

As the manager, understanding the own price elasticity of demand for product X, which is -2.5, indicates that a 1% increase in the price of product X would lead to a 2.5% decrease in its quantity demanded. Additionally, if the cross-price elasticity with product Y is available, it would indicate how changes in the price of product Y affect the demand for product X. This information is crucial for pricing strategies and maximizing revenues from both products. Therefore, monitoring these elasticities can help optimize pricing and improve overall firm revenue.

The formula for the circumference of a circle is given by ( C = 2 \pi r ), where ( \pi ) is approximately 3.14 and ( r ) is the radius of the circle. To find the circumference, simply multiply 2, 3.14, and the radius ( r ). For example, if the radius is 5, the circumference would be ( C = 2 \times 3.14 \times 5 = 31.4 ).

They are members of the infinite set of numbers of the form 12*k where k is an integer. Since the set is infinite, it is not possible to list them.

52 and 54 are multiples of 2.

To find the multiples of 6 between 50 and 70, we first need to determine the multiples of 6. Multiples of 6 include 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, and 72. However, we are only interested in the multiples that fall between 50 and 70. Therefore, the multiples of 6 that fall between 50 and 70 are 54 and 60.

1 and 4

2 and 5

3 and 6

12 and 15

The first 15 multiples of 301:

301, 602, 903, 1204, 1505, 1806, 2107, 2408, 2709, 3010, 3311, 3612, 3913, 4214, 4515 . . .

Here they are:

N N*13

-- -----

1 13

2 26

3 39

4 52

5 65

6 78

7 91

8 104

9 117

10 130

11 143

12 156

13 169

14 182

15 195

16 208

17 221

The prime factorization of nine is obtained by breaking it down into its prime factors. Nine can be expressed as (3 \times 3) or (3^2). Therefore, the only prime factor of nine is 3.

The factor of the monomial -11m² is -11 and m². In this expression, -11 is the coefficient, while m² indicates that the variable m is squared. Together, they form the complete monomial.

117

GCF = 20

3 x 20 = 60

4 x 20 = 80

6 x 20 = 120