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2 years ago

Pleaseeeee helppp!!!!!!!!!!!

Mathematics

1 answer:

Mrrafil [7]2 years ago

5 0

$4^{2x}=7^{x-1}\\
16^x=7^x\cdot7^{-1}\\
\dfrac{16^x}{7^x}=\dfrac{1}{7}\\
\left(\dfrac{16}{7}\right)^x=\dfrac{1}{7}\\
x=\log_{\tfrac{16}{7}}\dfrac{1}{7}\approx-2.35389$

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Solve this equation: α ÷ 6 + 4 = 16

Ilia_Sergeevich [38]

$\alpha \div 6 + 4= 16\\\\Subtract ~4~on~both~sides\\\\ \alpha \div 6 +4 -4 = 16 -4\\\\ \alpha \div 6 = 16 - 4\\\\ \alpha \div 6 = 12\\\\Multiply~both~sides~by~6\\\\a \div 6\times 6 = 12\times 6\\\\ \alpha = 12\times 6 \\\\ \boxed{\bf{\alpha = 72}}$

Your final answer is alpha = 72.

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2 years ago

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Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

Debora [2.8K]

Option A

$2x^2(6x-1) + 3(6x-1)$ is one way to determine the factors of $12x^3-2x^2+18x-3$ by grouping

Solution:

Factoring by grouping means that you will group terms with common factors before factoring

Given expression is:

$12x^3-2x^2+18x-3$

Group the first two terms together and then the last two terms together.

$(12x^3-2x^2)+(18x-3)$

We can see that $2x^2$ is common in first two terms

And 3 is common in last two terms

Factor them out

$(12x^3-2x^2)+(18x-3) = 2x^2(6x-1) + 3(6x-1)$

$2x^2(6x-1) + 3(6x-1)$

Thus option A is correct

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2 years ago

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which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas

Sunny_sXe [5.5K]

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2 years ago

Z=32+41.9i

n200080 [17]

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The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’

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2 years ago

the table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers,w

balandron [24]

Answer:

The greatest depth of the Southern Ocean is 7.24 kilometers

Correct statement, question and data:

The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?

Please see the table attached.

Source:

Question that can be found at mathpractice101

Step-by-step explanation:

Let's answer the question, this way:

Depth of the Southern Ocean = x

For solving x, we have:

(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094

10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)

33.23 + x = 40.47

x = 40.47 - 33.23 (Subtracting 33.23 at both sides)

x = 7.24

The greatest depth of the Southern Ocean is 7.24 kilometers

6 0

3 years ago