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Goryan [66]
3 years ago
14

Please show working out, thanks!

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

  C.  x+log(z)

Step-by-step explanation:

Taking the log of the equation gives ...

  log(z) = (x -y)log(1/10) = (x -y)log(10^-1)

  log(z) = (x -y)(-1) = y -x

Adding x gives ...

  x + log(z) = y . . . . . matches choice C

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The equation whit the largest outcome is 5*103=515
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Which expression is equivalent to [(3xy^-5)^3 / (x^-2y^2)^-4]^-2
True [87]
<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.

Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us

[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.

Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.

Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.

Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.

Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.

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4 0
3 years ago
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A video game system and several games are sold for $700. The cost of the games is three times as much as cost of the system. Fin
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Answer:

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Step-by-step explanation:

Let us take the cost of the system to be X.The games cost 3 times as much as the system and are therefore given 3X. The total cost of the system and the games is $700.Therefore,we form the equation 3X+X=$700.Meaning that 4X=$700 and X is equal to $175.The cost of the system is X therefore it is $175 and the cost of the games is 3X and is therefore $525.

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Each person in a ticket line gets either one or two tickets. You are the 51st person in line. Forty percent of the people in fro
Marrrta [24]
80 tickets have been given out

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Which of the following values are in the range of the function graphed below? check all that apply
vodomira [7]

Answer:

Option D. 1

Option E. 1/2

Step-by-step explanation:

we know that

Looking at the graph

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-1\leq x\leq 1

The domain is all real numbers greater than or equal to -1 and less than or equal to 1

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The range is all real numbers greater than or equal to 0 and less than or equal to 1

therefore

The values that are in the range are

1 and 1/2

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3 years ago
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