Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?The difference is a binomial with a degree of 5.
The difference is a binomial with a degree of 6.
The difference is a trinomial with a degree of 5.
The difference is a trinomial with a degree of 6.

Answers

Answer 1

Answer: To answer the problem above we must first get the difference between the polynomials. In equation,
(a^3b + 9a^2b^2 - 4ab^5) - (a^3b - 3a^2b^2 + ab^5) =
6a^2b^2 - 3ab^5. This is the difference between the two completely simplified polynomials, The difference between the two is a binomial with a degree of 5.

-33x - 82

Step-by-step explanation:

Use

PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

$1)\qquad5(x+3)=5x+15\n\n2)\qquad x+5(x+3)=x+5x+15=6x+15\n\n3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\n\n4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\n\n5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\n\n6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82$

Answer:

-33x - 82

Hope It Helps:)

In yesterday's basketball game, Raul made 77.7% of his shots.What fraction of his shots did he make?
1. How would you write 77.7% as a decimal? Set that decimal equal
to x. What digit or digits repeat?
2. Multiply each side of the equation by a power of 10 to get the
repeating digit(s) to the left of the decimal point. Since you only
need to move one place, multiply each side by 10.
3. Subtract the equation in Exercise 1 from the equation in Exercise 2.
Then simplify.
4. Divide each side of the equation by 9 to solve for x. What fraction is
equal to x? Show your work.
5. What fraction of Raul's shots did he make?
On the Back!
6. This season, Jenny's lacrosse team had a winning percentage of
0.83. What fraction of their games did Jenny's team win?

Answers

Answer:

FEEL FREE TO CORRECT ME IF I'M WRONG! (in the comments)

1. 0.777, the thousandths place value repeats

2. 7.77

3. x = 0.60 (0.0603729)

6. 83%

-did my best-

Step-by-step explanation:

Final answer:

Raul made 7/9 of his shots in yesterday's basketball game and Jenny's lacrosse team won 83/100 of their games this season.

Explanation:

To answer the question about what fraction of shots Raul made, we need to convert the percentage into a decimal and then a fraction. To first convert 77.7% into a decimal, we move the decimal point two places to the left, getting 0.777.

Now, to put this into fraction form, knowing that the decimal 0.777 is repeating, we let x = 0.777. Multiply each side by 10 to get 10x = 7.777. Subtracting the first equation from this gives us 9x = 7, hence x = 7/9. So, the fraction of shots Raul made is 7/9.

For Jenny's lacrosse team, the winning percentage is 0.83. It’s a non-repeating decimal so it's straightforward to convert this into a fraction. To convert the decimal to a fraction, we consider the numbers after the decimal point. Since there are two digits (.83), we write it as 83/100. But, it can be simplified by dividing both the numerator and the denominator by their greatest common factor (GCF), which is 1 in this case. So, the fraction of games Jenny's team won is 83/100.