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alex41 [277]
2 years ago
14

25

gn="absmiddle" class="latex-formula"> = 125x + 3
Mathematics
2 answers:
natulia [17]2 years ago
8 0

Answer:

x = -9

Step-by-step explanation:

25^x = 125 ^(x+3)

Rewriting

5^2^x = 5^3^(x+3)

We know a^b^c = a^(b*c)

5^(2x) = 5^(3(x+3))

5^(2x) = 5^(3x+9)

The bases are the same so the exponents are the same

2x = 3x+9

Subtract 3x from each side

2x-3x = 3x+9-3x

-x =9

x = -9

vodomira [7]2 years ago
8 0

Answer:

x is -9

Step-by-step explanation:

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7 1/2 hours I believe is the correct answer. Hope it works!

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2 years ago
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Need help with this problem, it's got me stuck PLZ
faust18 [17]

24x^2 +25x - 47                     53

----------------------- = -8x -3 - ---------------

ax-2                                     ax-2

add 53/ax-2 to each side

24x^2 +25x - 47+53                    

-----------------------         = -8x -3

ax-2                                    

24x^2 +25x +6                  

-----------------------         = -8x -3

ax-2      

multiply each side by ax-2

24x^2 +25x +6   = (ax-2) (-8x-3)

multiply out the right hand side

24x^2 +25x +6  = -8ax^2 +16x-3ax +6

24 = -8a      25 = 16 -3a

a = -3          9 = -3a

                   a = -3


Choice B

6 0
3 years ago
Melissa made $252 for 18 hours of work.
Murljashka [212]
She will make $182 for 13 hours of work
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3 years ago
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9x+8y=6<br>-7x=14<br>what is the system of equation by elimination?
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2x+8y=20
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3 years ago
When a wholesaler sold a product at $50 per unit, sales were 184 units per week. After a price increase of $5, however, the aver
nalin [4]

Answer:

$48 per unit

Step-by-step explanation:

Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...

q = -4(p -50) +184

q = -4p + 384

q = 4(96 -p)

The revenue is the product of price and demand:

r = pq = 4p(96 -p)

This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...

p = (0+96)/2 = 48

A price of $48 per unit will yield a maximum total revenue.

7 0
3 years ago
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