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Ksenya-84 [330]
3 years ago
15

Factorise using the difference of two squares: I)4x squared-(2x+3) squared

Mathematics
1 answer:
alex41 [277]3 years ago
8 0
4x² - (2x + 3)²
4x² - (2x + 3)(2x + 3)
4x² - (2x(2x + 3) + 3(2x + 3))
4x² - (2x(2x) + 2x(3) + 3(2x) + 3(3))
4x² - (4x² + 6x + 6x + 9)
4x² - (4x² + 12x + 9)
4x² - 4x² - 12x - 9
-12x - 9
-3(4x) - 3(3)
-3(4x + 3)
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Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?
Paraphin [41]

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.

4 0
3 years ago
If a test consists of ten multiple choice questions with each permitting a possible answers. How many ways are there in which a
dangina [55]

The question isn't correctly given, a possible format is in the comment below, however, the explanation will cover then concept which can be applied to different but similar

Answer:

10048576 ways

Step-by-step explanation:

We are given a question, from which we can choose aby of 4 options, this gives ua 4 possible choices for 1.

This will also apply if we have more than 1 question with the same number of options.

This can be called the product rule, as each possibility is the same of each question given :

Therefore, given 10 questions:

. We have

4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 4^10 = 10048576 ways

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3 years ago
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 45 minutes ?
Oksana_A [137]

Answer: The car will travel 30 2/3 miles in 45 minutes.

7 0
3 years ago
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The ratio of feet to yards is 3 to 1. Reyna threw a ball 30 feet. How many yards did she throw it?
Strike441 [17]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ She threw the ball 10 yards.

The ratio we have is 3:1. Right now, we know she threw 30 feet. The relationship between the 3 and 30 is multiplying by 10. If you are multiplying the feet by 10, you have to multiply the yards by 10. When you multiply 1 x 10, you get 10. So the ration is 30:10 and she threw 10 yards.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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How to solve for for X
Illusion [34]
I'm pretty sure you set them equal to each other. If I'm wrong I'm sorry, I haven't done that in awhile. Just going off memory

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