Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?answers:
3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial

Answers

Answer 1

Answer: The correct answer is that 3x²-11x+8 will be a polynomial.

Explanation:
When we subtract polynomials, we combine like terms:
3x² is the only x² term we have.
We have -6x and subtract 5x from it; this gives us -11x.
We have 2 and subtract -6 from it; when we subtract a negative, we add the opposite, which means we have 2--6=2+6=8.

This gives us 3x²-11x+8. This is a polynomial, since it is made of monomials (none of the terms have a negative exponent or a radical sign).

Answer 2

Answer:

Answer:

option (b) is correct.

we get a polynomial $3x^2-11x+8$

Step-by-step explanation:

Given : Polynomial 5x -6 and $3x^2-6x+2$ .

We have to choose out of given options which shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from $3x^2-6x+2$ .

We first subtract the polynomial

$\Rightarrow 3x^2-6x+2-(5x-6))$

$\Rightarrow 3x^2-6x+2-5x+6$

similar terms are terms having same variables with same degree.

Here, -6x and -5x are similar

and 2 and 6 are similar.

Adding similar terms, we get,

$\Rightarrow 3x^2-11x+8$

Polynomial is an algebraic expression that can involves variables with non negative integer terms and constants.

Thus, we get a polynomial $3x^2-11x+8$

Hence, option (b) is correct.

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HELP!! express the following decimal as a percent. 1.544a) 154.4%
b) 0.1544%
c) 1,544%
d) 15.44%

Answers

To convert 1.544 to percent multiply by 100

1.544 × 100 = 154.4 %

Simply multiply by 100 to convert, giving a result of 154.4%, or A.

Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

Answers

Average rate of change from x = 0 to x = 1 is $(f(1)-f(0))/(1-0)= (5(1)-5(0))/(1)=5$
Average rate of change from x = 2 to x = 3 is $(f(3)-f(2))/(3-2)= (5(3)-5(2))/(1)=15-10=5$
The average rate of change of both sections are equal.

How are the two angles below related. Drawing not to scale. 45 degrees and 135 degrees

Answers

Answer:

The answer to your question is A. supplementary

The two angles, of 45 and 135 degrees respectively, are related because they are supplementary — this means their total sum adds up to 180 degrees. Complementary angles have a sum of 90 degrees.

If a square has an area of 225 square feet what is the length of each side

Answers

The area of the square: $A=a^2$

where "a" is a length of side.

Therefore:
$A=225\ ft^2\ and\ A=a^2\Rightarrow a^2=225\Rightarrow a=√(225)\Rightarrow \boxed{a=15\ (ft)}$

How many times does 27 go into 1714???

Answers

Answer:

27/3 = 9

Step-by-step explanation:

"How many times does 3 go into 27?" is the same as asking "How much is 27 divided by 3?" Thus, the answer can be calculated as follows:

27/3 = 9"How many times does 3 go into 27?" is also the same as asking "What (x) do you multiply by 3 to get 27?" We solve the problem with an easy algebra equation:

3(x) = 27

x = 9

Tip: When you get a question like "How many times does 3 go into 27?", just think of it as how many times you can fit 3 into 27.

The answer on this page is rounded to the nearest decimal if necessary.

27 goes in to 1714 63.48 times

Subtract.
–84 – 55
a. –29
b. –139
c. 29
d. 139

Answers

-84 - 55= -139Here both have same sign (-) so u add and put the common sign(-) ....So the answer is option B ( -139)...Hope it helps!!!

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