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NeTakaya
2 months ago
6

Use the identity below to complete the tasks: a3 − b3 = (a − b)(a2 + ab + b2) When using the identity for the sum of two cubes t

o factor 125q6 − r6s3. What is a? What is b?
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
8 0
This can be expressed using the general formula for a² – b².
Svet_ta [12.7K]2 months ago
7 0
Here, we have a = 5q² and b = r²s. This identity applies to the expression we are factoring.
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Zina [12379]

Answer:

Therefore, the data is best represented by:

y=26.9x-1.3

Step-by-step explanation:

We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.

The question asks which model accurately reflects this data.

To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:

We are presented with four functions, which are:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We'll create a table displaying these values at various x levels.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Thus, the function that suitably represents the data is:

Option C.

y=26.9x-1.3

6 0
2 months ago
Read 2 more answers
Two towns accumulated different amounts of snow. In town 1, the snow depth is increasing by 3 1/2 inches every hour. In town 2 t
tester [12383]

a=2+6t, b=10+2t

a=b when

2+6t=10+2t  subtract 2t from both sides

2+4t=10  subtract 2 from both sides

4t=8  divide both sides by 4

t=2

Thus, they will have the same amount of snowfall after two hours

hope i helped

6 0
2 months ago
A random survey of the quality of city park is taken.sixty-five percent of the people surveyed were pleased with the condition o
Leona [12618]
The total number of individuals surveyed is 280. From the survey results, 65% were satisfied with the park's condition. Given that this satisfied group represents 182 people, we can calculate the overall survey population using this information.
7 0
2 months ago
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Which statement is true about the graphed function
tester [12383]

From -∞ to -4 the blue line is situated above the X axis, indicating that it is >0

Between -4 and -3, the blue line is below zero


Thus, the correct answer is: F(x) > 0 over the interval (-∞,-4)

8 0
3 months ago
Read 2 more answers
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