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Nataly_w [17]
3 years ago
12

Simplify the expression -2x^2(4x − 3). -8x3 − 6x2 -8x3 + 6x2 8x3 − 6x2 8x3 + 6x2

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
To simplify the expression we are going to use the distributive property of multiplication: a(b+c)=ab+ac.
We can infer from our problem that a=-2x^2, b=4x, and c=-3. So lets apply the property to simplify our expression:
-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)
(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2

We can conclude that the correct answer is <span>-8x3 + 6x2</span>
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Perform the indicated operation.<br> (w^3 +64)/(4+ w)
timurjin [86]

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3.  The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

   (w^3 +64)/(4+ w)      (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- =  (w^2 - 4w + 16)

             4 + w                     4 + w

6 0
3 years ago
Find the volume of the composite space figure to the nearest whole number.
Romashka [77]

Answer:

  d.  944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

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The area of a circle with diameter 9 mm is ...

  A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

  semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

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The area of the rectangular portion of the end of the prism is the product of its width and height:

  A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

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  = (54 mm²) +(31.809 mm²) = 85.809 mm²

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This base area multiplied by the 11 mm length of the prism gives its volume:

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The volume of the composite figure is about 944 mm³.

7 0
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leonid [27]

Answer:

when sketching the curves of functions.

Step-by-step explanation:

There is a wide range of graph that contain asymptotes and that includes rational functions, hyperbolic functions, tangent curves, and more. Asymptotes are important guides when sketching the curves of functions. This is why it’s important that we know the properties, general forms, and graphs of each of these asymptotes.

6 0
1 year ago
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There are 27 & 1/3 pencils in each box. Each student will get 3 pencils per year. There will be 16 pencils left over.
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