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Klio2033 [76]
3 years ago
13

Simplify the polynomial: 2[4x-5(2x-1)]

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
<span>2[4x-5(2x-1)]
=</span><span>2[4x- 10x + 5]
= 2(-6x + 5)
= -12x + 10</span>
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Write each set in the indicated form. If you need to use "" to indicate a pattern, make sure to list at least four elements of t
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Complete question is;

Write each set in the indicated form.

If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.

As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

(a) Roster form: {6,8,10,12,...}

Descriptive form:

(b) Descriptive form: The set of natural numbers greater than or equal to 3 and less than or equal to 6.

Roster form:

Answer:

A) Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) Roster form: {3, 4, 5, 6}

Step-by-step explanation:

A) We are given that the roster form is;

{6,8,10,12,...}

Now, the descriptive form is just a statement that describes the given roster form.

Now, we can see they are all even natural numbers and the least is 6 while after 12,we can see that the set continues.

Thus;

Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) We are given that the descriptive form is the set of natural numbers greater than or equal to 3 and less than or equal to 6.

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Roster form: {3, 4, 5, 6}

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3 years ago
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Check the picture below.

so, the diameter of the sphere, is the same as a side's length of the cube, bearing in mind that all sides in a cube are the same length.

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\bf \textit{volume of a sphere}\\\\&#10;V=\cfrac{4\pi r^3}{3}~~&#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;V=972\pi &#10;\end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3&#10;\\\\\\&#10;\cfrac{2916\pi }{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}

since the diameter is twice as much as the radius, thus d = 2r, or namely d = 18.

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3 years ago
Its algebra 2 step equation it is p/9 + 89 = -103
____ [38]

\leadsto \sf \dfrac{p}{9}  + 89 =  - 103

\\  \\

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\\  \\

\leadsto \sf p =  - 192 \times 9

\\  \\

\leadsto \sf p =  - 1728

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