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SVETLANKA909090 [29]
3 years ago
5

Factor Completely: 16x8−81y8

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

Answer:

Step-by-step explanation:

16x⁸ - 81y⁸ is the difference of squares.

16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)

Note that 4x⁴ - 9y⁴ is also the difference of squares.

4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)

16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)

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Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity,
Sholpan [36]

Answer:

A)

                                      Supplier

Component               1            2             3      

1                                             125          900

2                               525       300                

B) Cost Table

                               1                2                3         Total

Component 1                       1625             9000     10625

Component 2      7875        3600                            11475

Total cost             7875        5225           9000   22100

Step-by-step explanation:

Table 1:

                                      Supplier

Component               1         2         3

1                                  $12    $13     $10

2                                 $15    $12     $10

Table 2:

Supplier                       1          2         3

Capacity                   525      975    900

Now we are supposed to find  production plan for the next period includes 1025 units of component 1 and 825 units of component 2

So,

                                      Supplier

Component               1            2             3      

1                                               125          900

2                               525       300                

Cost Table :

                          1                2                3

Component 1                       13 \times 125         900 \times 10

Component 2  15 \times 525       12 \times 300

Cost Table

                               1                2                3         Total

Component 1                       1625             9000     10625

Component 2      7875        3600                            11475

Total cost             7875        5225           9000   22100

8 0
3 years ago
Pamela is 5 years younger than Jiri. The sum of their ages is 81. What is Jiri's age?
Travka [436]
Jiri’s age is 43
Pamela is 5 years younger mean
Mean Jiri is old 5 years, take number of Jiri age minus Pamela age.
-> J-5=P
The sum mean plus
P+J=81
Use substitution for the equation 1 to find the answer.
(J-5) +J=81
2J-5=81
2J=86
J=43
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Answer:

Step-by-step explanation:

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Substitute your values:

y = -2x + 3

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