Help please , I am not sure how to do it

Find the product.<br> (6a + 3b)(a - b)<br> Enter the correct answer.

Musya8 [376]

Answer:

See below.

Step-by-step explanation:

$(6a+3b)(a-b)\\$

Distribute:

$=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab$

8 0

3 years ago

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Please help me with these two math problems that I do not quite understand. This is urgent!

g100num [7]

Answer:

1) $a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

$a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

6 0

3 years ago

The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.

NNADVOKAT [17]

Total 19 students in class

Hope it helps

4 0

3 years ago

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A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing a salt

konstantin123 [22]

Answer:

A gas tank can indeed overflow if it is not full. A gas tank can overflow if the pressure inside of it is too high.

Step-by-step explanation:

8 0

3 years ago

Determine if the given measurements can construct a triangle?11,11,11- Yes, this forms a triangle.-No, this DOES NOT form a tria

Harman [31]

ANSWER

Yes, this forms a triangle

EXPLANATION

We want to check if the measurements 11, 11 and 11 can make the side of a triangle.

We will use the Triangle Inequality Theorem.

We have to check if the sum of any of the two measurements will be greater than the third. If yes, then, they can form a triangle and vice versa.

That is:

11 + 11 = 22

Since 22 is greater than 11, the measurements can form a triangle.

7 0

1 year ago