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lara31 [8.8K]
2 years ago
15

I need help with this problem

Mathematics
1 answer:
alexandr402 [8]2 years ago
7 0

Answer:

4*x^4*y^22

Step-by-step explanation:

Your goal here is to REDUCE the given expression to simplest terms.

One way in which to approach this problem would be to rewrite (2x^2y^10)^3 as:  (2x^2*y^8)*y^2*(2x^2*y^10)^2.

Dividing this rewritten expression by 2x^2*y^8 results in:

y^2(2x^2*y^10)^2.

We now need to raise (2x^2*y^10) to the power 2.  Doing this, we get:

4x^4*y^20.

Multiply this by y^2 (see above):

y^2*4x^4*y^20

The first factor is 4:  4y^2*x^4*y^20.  This is followed by the product of y^2 and y^20:                   4*y^22*x^4

Finally, this should be re-written as

                                    4*x^4*y^22

Another way of doing this problem would involve expanding the numerator fully and then cancelling out like factors:

8*x^6*y^30      4*x^4*y^22

----------------- = ------------------ = 4*x^4*y^22

  2x^2y^8                  1

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igomit [66]

ANSWER

x=100,y=10

EXPLANATION

The given logarithmic equations are;

log_{10}( {x}^{2}  {y}^{3} )  = 7

This implies that,

{x}^{2}  {y}^{3}  =  {10}^{7} ...(1)

and

log_{10}( \frac{x}{y} ) = 1

This implies that,

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Put equation (2) into equation (1)

{(10y)}^{2}  {y}^{3}  =  {10}^{7}

10 ^{2} y^{2}  {y}^{3}  =  {10}^{7}

{y}^{5}  =  {10}^{5}

Hence y=10.

This implies

x = 10(10) = 100

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3 years ago
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iren2701 [21]

Answer:

10

Step-by-step explanation:

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For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2? (2 points)
Irina-Kira [14]

The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

<h3>How to find the statement that is true about the functions a(x) = b(x) at x = 2?</h3>

If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.

  • Given that the two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = 2.

Then the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

So, the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

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Step-by-step explanation:

-7x^3+21x^2+3x-9

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Now factor out (x-3)

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Rearranging)

(x-3) (3-7x^2)

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Answer:

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Step-by-step explanation:

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