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Anni [7]
2 years ago
9

1. Which is equivalent to (3x - 8)(4x + 2)?

Mathematics
2 answers:
ella [17]2 years ago
8 0

Answer:

12x² - 26x - 16

Step-by-step explanation:

(3x - 8) (4x + 2)

= 3x (4x + 2) - 8 (4x + 2)

= 12x² + 6x - 32x - 16

= 12x² - 26x - 16

Reil [10]2 years ago
4 0

Answer:

12x2 + 6x - 16

Step-by-step explanation:

You foil. "FOIL" stands for "FIRST - OUTER - INNER - LAST" numbers of the two parenthesis.

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For the region bounded by y=2x​, the​ x-axis, and x=1​, determine which of the following is​ greater: the volume of the solid ge
telo118 [61]

Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

\int\limits^1_0 {(pi)y^{2} } \, dx

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Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

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If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

7 0
2 years ago
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