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ira [324]
4 years ago
12

Factor 3^5 + 12^4 − 36^3

Mathematics
2 answers:
Troyanec [42]4 years ago
8 0

Answer:

-39501

Step-by-step explanation:

3^5 + 12^4 − 36^3 can be rewritten with 3^3 as a factor showing up one or more times in each term:

(3^3)(3^2) + 3^4*4^4 - (6^2)^3                      or:

(3^3)(3^2) + (3^3)*3*256 - (6^6)                     or:

     same            same     - 3^6*2^6                

Factoring out 3^3, we get:

(3^3)(3^2) + 3*256 - 3^3*64)        or

(3^3){9 + 256 -1728} or

3^3{-1463}, oe

-39501

Crazy boy [7]4 years ago
7 0
Find the greatest common factor among the bases, which is 3. Now find the lowest power that they can all go in to, that’s also 3. So we’re factoring our a 3^3 to get :

3^3[(1^2) + (4^1) + (12)]
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Write an equation and solve for x. Show all your work.
Cerrena [4.2K]

Answer:

x=63

Step-by-step explanation:

Because we know that the total angle is a right angle (see the square in the top right of the problem), and 25 and x+2 constitute as the only two angles making up the total angle, we can say that 25 and x+2 are complementary, meaning they add up to 90 degrees. We can then write our equation as follows:

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3 years ago
A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producin
nika2105 [10]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

<u>The net income formula:</u>

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

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y= 1*120 - 120

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3 years ago
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The sum of A and B is 171 and their difference is 35. What are the numbers?
antoniya [11.8K]

Answer:

103 and 68

Step-by-step explanation:

since the difference has to be 35 subtract 35 from 171 (equals 136) then divide it by 2, you get 68 which is your first number, then add 35 back and get 103 for the second number, I hope this helped

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4 years ago
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