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3 years ago

Factor completely 3x3 + 12x2 + 18x.

Mathematics

2 answers:

Sedbober [7]3 years ago

6 0

Step-by-step explanation:

solved in the picture....

egoroff_w [7]3 years ago

4 0

Answer:

The factored form of the given expression is $3x(x^2+4x+6)$ .

Step-by-step explanation:

The given expression is

$3x^3+12x^2+18x$

we need to find the factored form of the given expression.

Taking GCF common, we get

$3x(x^2+4x+6)$

If a quadratic expression is defined as $ax^2+bx+c$ and

$b^2-4ac$ , then the expression can not be factored further.

In the above parentheses the quadratic expression is $x^2+4x+6$ ,

$b^2-4ac=(4)^2-4(1)(6)=-8$

It means the quadratic expression is $x^2+4x+6$ can not be factored further.

Therefore the factored form of the given expression is $3x(x^2+4x+6)$ .

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xz_007 [3.2K]

3+4+5+8+5+4 = 29 meters.

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3 years ago

Read 2 more answers

The produce manager at a market orders 10 lb of tomatoes, 20 lb of zucchini, and 40 lb of onions from a local farmer one week.

rewona [7]

Answer:

(A) $A=\left[\begin{array}{ccc}10&20&40\end{array}\right]$

(B) $B=\left[\begin{array}{ccc}11&22&44\end{array}\right]$

Step-by-step explanation:

The manager ordered 10 lb of tomatoes, 20 lb of zucchini, and 40 lb of onions from a local farmer one week.

(A)

Matrix <em>A</em> represents the amount of each item ordered. It is 1 × 3 matrix.

Then matrix <em>A</em> is:

$A=\left[\begin{array}{ccc}10&20&40\end{array}\right]$

(B)

Next week the manager increases the order of all the products by 10%.

Then the amount of new orders are:

Tomatoes $=10\times [1+\frac{10}{100}]=10\times1.10=11$

Zucchini $=20\times [1+\frac{10}{100}]=20\times1.10=22$

Onions $=40\times [1+\frac{10}{100}]=40\times1.10=44$

Th matrix <em>B</em> represents the amount of each order for the next week. Then matrix <em>B</em> is:

$B=\left[\begin{array}{ccc}11&22&44\end{array}\right]$

(C)

Add the two matrix <em>A</em> and <em>B</em> as follows:

$A+B=\left[\begin{array}{ccc}10&20&40\end{array}\right]+\left[\begin{array}{ccc}11&22&44\end{array}\right]\\=\left[\begin{array}{ccc}(10+11)&(20+22)&(40+44)\end{array}\right]\\=\left[\begin{array}{ccc}21&42&84\end{array}\right]$

The entries of the matrix (<em>A</em> + <em>B</em>) represent the amount of tomatoes, zucchini and onions ordered for two weeks.

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3 years ago

Tyler ate x fruit snacks, Han ate 3/4 less than that. Write an equation to represent the relationship between the number Tyler a

Citrus2011 [14]

Answer:

0.75x = y

1/4 = y

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3 years ago

425÷5?<br> What's the answer

horrorfan [7]

Answer:

<h3>425÷5 = 85</h3><h3>I hope it helps. ❣❣</h3>

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3 years ago

This cuboid is made from cm squares

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3 width height and depth

a) volume of the cube Vol = area of the base times height

area of the base = the width times the depth

Volume = Base Depth

= Width x Depth x Height

= 4 x 3 x 6

= 12 x 6

Vol = 72 cm ³

b ) the volume of the smaller cuboid has different dimensions

the smaller cube is 2 by 2 by 1 width height and depth

Volume = Base Depth

= Width x Depth x Heigh

= 2 x 2 x 1

Vol smaller cuboid = 4

How many smaller cubes can be made?

The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

Number of cuboid = Volume of the cube / Volume of the cuboid

= 72 / 4

= 18

Check this answer by dividing the dimension of the cube by the cuboid

4 by 6 by 3

2 by 2 by 1

(4/2) by (6/2) by (3/1)

2 by 3 by 3 = 2 x 3 x 3 = 18

3 0

3 years ago