All categories

2 years ago

Factor 6x(x + 12) – 15(x + 12)

Mathematics

1 answer:

poizon [28]2 years ago

6 0

The answer is 3(2x-5) (x+12)

You might be interested in

Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4

zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]$

• Add row 1 to row 2, and add -1 (row 1) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]$

• Add -2 (row 2) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add -2 (row 3) to row 2:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add row 2 and row 3 to row 1:

$\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

So the inverse is

$\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}$

3 0

3 years ago

Four friends are trying to decide what kind of cake to order for a party: cheesecake, chocolate, or yellow. Everyone was asked t

Zepler [3.9K]

Step-by-step explanation:

I think chocolate fairness criterion has been violated because under the unknown voting method the winner was chocolate but upon calling the store they ordered for yellow cake not chocolate

5 0

3 years ago

What's 132,654 rounded to the nearest thousand

icang [17]

The answer is 133,000

6 0

3 years ago

Read 2 more answers

A rectangle has an area of 120 square feet and a width of 8 feet. please help

madam [21]

Answer:

Step-by-step explanation:

length = 120/8 = 15 feet

perimeter = (15 + 8) x 2 = 46 feet

5 0

3 years ago

Larry is making custom signs to sell at his shop. The cost of making each sign is $50 plus $4.50 per sign, he will sell them for

Valentin [98]

The best way to answer this would be making a graph

For 1 sign it costs 54.50 and he makes 15

For 2 signs it costs 59 and he makes 30

For 3 signs it costs 63.50 and he makes 45

For 4 signs it costs 68 and he makes 60

For 5 signs it costs 72.50 and he makes 75

This means that after 5 signs Larry will be making profit

8 0

3 years ago