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dusya [7]
3 years ago
11

While working on his science fair project, Julian noticed changes in the cultures he was growing. He noticed that the cultures w

ere increasing daily as displayed in the chart.
The rate is

1 day to 4 cultures
2 days to 9 cultures
3 days to 16 cultures
4 days to 25 cultures
If the increase continues at the same rate, how many cultures will be present on the ninth day?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0
The answer is:  " 100 cultures " .
_______________________________________________
   Take the number of the day we are at (from the beginning;  in this case, "9" (for "Day 9").
_________________________________________________
 Then add "1" to that number (in this case, " 9 + 1 = 10" .
_________________________________________________
Then, take that value (in this case, "10"); and "square" that value ; (in this case;  " 10² = 10 * 10 = 100 .   This is the answer.
__________________________________________________
The answer is:  " 100 cultures " .
__________________________________________________
<u>Note</u><u>:</u>  We get this steps by noticing the trend from the information provided.
___________________________________________________

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The standard golf ball has a mass of 45g.How many golf balls are there in a bag weighing 1.8 kg?
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The series of operations for each case are listed below:

  1. GCF / GCF / GCF
  2. GCF / Grouping
  3. Quadratic trinomial
  4. GCF / Quadratic trinomial
  5. Difference of squares
  6. Difference of cubes / Quadratic trinomial
  7. Sum of cubes
  8. GCF / Quadratic trinomial
  9. GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: brainly.com/question/17822016

#SPJ1

7 0
1 year ago
I need help with this problem
diamong [38]
What problem there is no problem explain to me the problem
7 0
3 years ago
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