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3 years ago

How do I simplify this?

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

Simplify the following:
-3 w - 5 (6 z - 2 W) - 5 z
-5 (6 z - 2 W) = 10 W - 30 z:
-3 w + 10 W - 30 z - 5 z
-30 z - 5 z = -35 z:
Answer: -3 w + 10 W + -35 z

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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:

$Volume = Length * Width * Height$

$Volume = 16 * 8 * 5$

$Volume = 640$

8 0

3 years ago

Write the expression in the standard form a+b i (8-8i) + (1+6i )= (simplify the answer)

kotegsom [21]

Answer:

Step-by-step explanation:

(8 - 8i) + (1 + 6i)

8 + 1 - 8i + 6i

9 - 2i

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3 years ago

Use the distributive property to expand the following expression (9m-6)7 please help

Drupady [299]

Answer:2/3

Step-by-step explanation:

Simplifying

(9m + -6) * 7 = 0

Reorder the terms:

(-6 + 9m) * 7 = 0

Reorder the terms for easier multiplication:

7(-6 + 9m) = 0

(-6 * 7 + 9m * 7) = 0

(-42 + 63m) = 0

Solving

-42 + 63m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '42' to each side of the equation.

-42 + 42 + 63m = 0 + 42

Combine like terms: -42 + 42 = 0

0 + 63m = 0 + 42

63m = 0 + 42

Combine like terms: 0 + 42 = 42

63m = 42

Divide each side by '63'.

m = 0.6666666667

Simplifying

m = 0.6666666667=2/3 when simplified

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docker41 [41]

I’m pretty sure it’s true

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Cuanto es (99+24)-47*(920+41)

Advocard [28]

Answer:

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Step-by-step explanation:

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