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Roman55 [17]
3 years ago
12

Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow

ers of x.
(6x + 1)(5x + 8)
Mathematics
1 answer:
marshall27 [118]3 years ago
5 0
The easiest method of multiplying polynomials, in my experience, is the FOIL method. Honestly, I couldn't tell you what the letters stand for anymore, but I definitely remember how to do it. It's just distribution. 
(6x+1)(5x+8)
Multiply the 6x by 5x and 8, then the 1 by 5x and 8:
30x²+48x+5x+8
Then combine like terms:
30x²+53x+8
You might be interested in
Are 55:100 and 66:120 equal
Keith_Richards [23]
Yes they are because if you simplify them both then they both equal 11:20 
<span>so they are equivalent ratios.</span>
6 0
3 years ago
You decide to take advantage of the current online dating craze and start your own Web site. You know that you have 600 people w
Gnoma [55]

Answer:

1350

Step-by-step explanation:

Given:

Initial number of members = 600

Now,

Expected members = Initial members × ( 1 + r )ⁿ

by geometric progression

here,

r is the growth rate

n is the number of years

thus,

Number of members that expect at the end of 2 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 25%

n = 2 years

Expected members = 600 × ( 1 + 0.25 )²

= 937.5

similarly,

Numbers of members that expect at the end of 3 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 22%

n = 1 years    (i.e after the end of 2 year)

Initial members = 937.5  (i.e after the end of 2 years is the initial for the starting of third year )

Expected members = 937.5 × ( 1 + 0.22 )¹

= 1143.75

Numbers of members that expect at the end of 4 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 18%

n = 1 years    (i.e after the end of 3 year)

Initial members = 1143.75  (i.e after the end of 3 years is the initial for the starting of fourth year )

Expected members = 1143.75 × ( 1 + 0.18 )¹

= 1349.625

Hence,

Total expected people = 1349.625 ≈ 1350

3 0
3 years ago
Lance bought 12 quarts of lemonade so that everyone who came to his party could have exactly 1/3 quart. How many people did Lanc
igor_vitrenko [27]

Lance invited 36 people to his party.

<u>Step-by-step explanation:</u>

It is given that,

  • Lance bought 12 quarts of lemonade.
  • Everyone who came to his party could have exactly 1/3 quart.

We know that,

The total quarts of lemonade available for the party = 12

Each person in the party consumes = 1/3 quart.

We need to find out how many people did Lance invited to his party.

<u>To find the number of people :</u>

Let us consider 'x' be the number of people invited to the party.

Total lemonade = number of people × lemonade for each person.

⇒ 12 = x × 1/3

⇒ 12×3 = x

⇒ x = 36 people

Therefore, Lance invited 36 people to his party.

6 0
3 years ago
A train has one engine and six train cars. Find the total number of ways an engineer can arrange the train. (The engine must be
enot [183]

Answer: 720 ways

Step-by-step explanation:

Given

A train has 1 main engine and remaining 6 train cars

If the engine is always in the front the remaining train cars can be arranged is

\Rightarrow \text{No. of ways}=6!=720\ \text{ways}

4 0
2 years ago
Abby wants to enclose a rectangular area of 20 square feet to use as a garden. Write a function that could be used to find the g
Thepotemich [5.8K]
Xy=20  As the width gets smaller, the length should get larger.
6 0
3 years ago
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