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Varvara68 [4.7K]
3 years ago
10

Solve for the following equation step by step and justify your steps when using an exponential property.

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

x = \frac{5}{7}

using the ' laws of exponents '

• a^{m} × a^{n} = a^{( m + n )}

•  a^{m} ÷ a^{n} = a^{(m - n)}

• (a^{m})^n = a^{mn}

7^{2} × 7^{3} = 7^{5} ÷ 7^{3x} = 7^{5 - 3x}

7^{4x} = 7^{5 - 3x}

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x =\frac{5}{7}




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Volgvan

Answer:

Step-by-step explanation:

First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)

I took away the one third I divided from it (46.50-15.50=31)

I got 31 dollars as my final answer.

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Answer:

W=5.3, l= 15.6

Step-by-step explanation:

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3 years ago
What two other forms to write 8.517
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<span>Hope I Helped You!!! :-)

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ki77a [65]

Answer:

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Step-by-step explanation:

Sketch

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x + 9y = 12

with x- intercept = (12, 0) and y- intercept = (0, \frac{4}{3} )

Solve

2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)

The region corresponding to the solution of the system of constraints

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Now evaluate the objective function at each vertex.

(0, 0) can be excluded as it will not give a maximum

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(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value

Thus the maximum value is 9 when x = 3 and y = 1

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3 years ago
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Answer:

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