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2 years ago

What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

Answer:

The third option listed: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

$7\sqrt[3]{2x} -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x} -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x} -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}$

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

$7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}$

Therefore this is the simplified radical expression: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

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Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound. One customer boug

pashok25 [27]

Answer:

Total revenue= $32.13

Step-by-step explanation:

Giving the following information:

He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes.

We need to calculate the total revenue:

Total revenue= 1.7*10.6 + 1.7*8.3

Total revenue= $32.13

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2 years ago

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut

Daniel [21]

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2 years ago

Read 2 more answers

Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result

shtirl [24]

Answer:

Max is correct

Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.

If one reflects a figure first across the x-axis from quadrant II then reflects across the y-axis from quadrant III, the image will end up in quadrant IV.

Step-by-step explanation

took the test on edge hope this helps

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1 year ago

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Maël mixes 15 milliliter (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts o

Yanka [14]

You have not provided the options, therefore, I cannot give you an exact answer.
However, I will try to help you with the concept.

First, we need to make all units the same in the problem. I will convert all units to ml.
We have:
amount of bleach = 15 ml
amount of water = 3.75 liters = 3.75 * 1000 = 3750 ml

Now, we will get the ratio between bleach and water:
$\frac{bleach}{water} = \frac{15}{3750} = \frac{1}{250}$

This ratio is fixed, therefore, to get the right choice:
1- make all units the same
2- for each option, divide the amount of bleach by the amount of water.
The correct choice would be the one giving you $\frac{1}{250}$

Hope this helps :)

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2 years ago

Emily is making a meal for her family. She uses coconut milk for the dessert she is making.

Artyom0805 [142]

Answer:

576 cm^3

Step-by-step explanation:

Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.

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1 year ago