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topjm [15]
3 years ago
13

3x + 9 > -18

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

The written form would be "Nine more than three times a number is greater than -18.

Step-by-step explanation:

To graph it, you must first solve for x.

3x + 9 > -18

3x > -27

x > -9

Now we can graph this by putting an open dot at -9 and then drawing an arrow to the right.

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What is the following product
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For this case we must find the product of the following expression:

\sqrt [3] {5} * \sqrt {2}

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

We rewrite the expression using the lowest common index of 6, then:

5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =

We rewrite the terms in an equivalent way:

5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =

We rewrite the expression using the property mentioned:

\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =

We combine using the product rule for radicals:

\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}

So:

\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}

ANswer:

Option b

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3 years ago
What is the greatest common factor of these number 12x^3, 16x^2, 20x?​
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Step-by-step explanation:gsgsbwbw

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3 years ago
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irga5000 [103]
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A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio
Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

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The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

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The distance added to each dimension is 2 yards.

4 0
3 years ago
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