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3 years ago

12

A comparison of 2 numbers is called

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

Comparison of Numbers is the process that defines the similar properties between two numbers and identifies the number that is greater than, smaller than, or equals to another number. There are some basic rules of comparison in Mathematics; they are greater than (>), less than (<), or equal sign (=).

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Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua

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Read 2 more answers

The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x Answer the following questions:

pickupchik [31]

Answer:

(a)

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

(b)

$P(2) = 640$

(c)

$Length= 16$

$Width = 8$

$Height =5$

(d)

$Volume = 640$

Step-by-step explanation:

Given

$P(x) = 48x^3 + 56x^2 + 16x$

Solving (a): The prism dimension

We have:

$P(x) = 48x^3 + 56x^2 + 16x$

Factor out 8x

$P(x) = 8x(6x^2 + 7x + 2)$

Expand 7x

$P(x) = 8x(6x^2 + 4x + 3x + 2)$

Factorize

$P(x) = 8x(2x(3x + 2) +1( 3x + 2))$

Factor out 3x + 2

$P(x) = 8x(3x + 2)(2x + 1)$

So, the dimensions are:

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

Solving (b): The volume when $x = 2$

We have:

$P(x) = 48x^3 + 56x^2 + 16x$

$P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2$

$P(2) = 640$

Solving (c): The dimensions when $x = 2$

We have:

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

Substitute 2 for x

$Length=8*2$

$Length= 16$

$Width = 3*2+2$

$Width = 8$

$Height = 2*2 + 1$

$Height =5$

So, we have:

$Length= 16$

$Width = 8$

$Height =5$

Solving (d), the volume in (c)

We have:

$Volume = Length * Width * Height$

$Volume = 16 * 8 * 5$

$Volume = 640$

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madam [21]

Answer:

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