(6x^5+21x^4+33x^3+0x^3+18x+12)÷(6x+3)

Answers

Answer 1
Answer: so first factor out the big equation on top
very hard
we can cancel out the 0x terms since 0x=0

so we notice that 3 is a factor of both equations
(6x+3)=(3)(2x+1)

and
(6x^5+21x^4+33x^3+18x+12)=(3)(2x+1)(x^4+3x^3+4x^2-2x+4
so we notice that there is a (3)(2x+1) in bot h so divide and cross them out

the answer is (x^4+3x^3+4x^2-2x+4)

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8x-9y+16x+12y

How do I solve this equation

Answers

to solve this equation go to www.tigeralgebra.com

combine like terms (x's go with x's and y's go with y's) take the sign in from of the value and combine 8x+16x =24x  and -9y+12y=3y (combine only works if the variables have the same  exponent ( u can combine x and x(because they have an understood exponent of 1)  but not x and x^3)

Simplify the following expression. 4a^-2b

A.) b/4a^2
B.)4b/a^2
C.)1/4a^b2

Answers

ANSWER

The correct answer is B

\frac{4b}{ {a}^(2) }


EXPLANATION

The given exponential expression is

4 {a}^( - 2) b

We can rewrite this as,

4b *  {a}^( - 2)

We need to simplify to obtain a positive index, so we apply the following property,


{a}^( - m)  =  \frac{1}{ {a}^(m) }

This implies that,


4b *  {a}^( - 2)  = 4b *  \frac{1}{ {a}^(2) }

This will finally simplify to,

4b *  {a}^( - 2)  =\frac{4b}{ {a}^(2) }


Therefore the correct answer is B

Answer:

B.)4b/a^2

Step-by-step explanation:

Sarah solves the equation as shown.2(x + 3) = 8
1. 2x + 6 = 8
2. 2x = 2
3. x = 1

In which step did Sarah use the distributive property?
1
2
3

Answers

1st step because 2 times x is 2x and 2 times 3 is 6

Answer:

Step 1

Step-by-step explanation:

2(x + 3) = 8

1. 2x + 6 = 8

2. 2x = 2

3. x = 1

In step 1, she distributed the 2 to the x and 3 by multiplying them and getting 2x and 6.

Which represents the polynomial written in standard form?

4m – 2m4 – 6m2 + 9

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The given polynomial is : 4m-2m^4-6m^2+9

In the standard form, the highest power term is written first

Then second highest power is written and follows the same rule further

Here the highest power term is -2m^4

The second highest power term is -6m^2

The third highest power term is 4m

Last term is 9

So, the standard form is :

-2m^4-6m^2+4m+9   :   Answer

Hope it will help :)

What is bigger 11/14 or 3/4?

Answers

Step 1: Reduce (simplify) entered fractions to lowest terms, if the case:
Fraction: 3 / 4 it's already reduced to lowest terms
Fraction: 11 / 14 it's already reduced to lowest terms

Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions:
Denominator 4, factored = 22
Denominator 14, factored = 2 * 7
LCM (4, 14) = 22 * 7 = 28

Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator):
For fraction: 3 / 4 is 28 : 4 = (22 * 7) : 4 = 7
For fraction: 11 / 14 is 28 : 14 = (22 * 7) : 14 = 2

Step 4: Expand fractions to bring them to the common denominator (LCM):
3 / 4 = (7 * 3) / (7 * 4) = 21 / 28
11 / 14 = (2 * 11) / (2 * 14) = 22 / 28

Find the length of side xx in simplest radical form with a rational denominator.

Answers

The length of side is √10/2

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a 45-90-45 so if the sides are x then the hypotenuse will be x√2

From the figure the hypotenuse of triangle is √5

SO equation it to x√2

We get √5=x√2

Divide both sides by √2

√5/√2=x

As the denominator should be a whole number we have to rationalize the denominator.

Multiply numerator and denominator with √2

√5/√2×√√2/√2

√10/2

Hence, the length of side is √10/2

To learn more on trigonometry click:

brainly.com/question/25122835

#SPJ2

Answer:

(√(10) )/(2)

Step-by-step explanation:

on a 45 - 45 - 90 triangle if the sides are x then the hypotenuse is x√(2)

so,

√(5) = x√(2)                  (Divide by √(2) )

(√(5) )/(√(2) ) = x                        (rationalize the denominator)

(√(5) )/(√(2) ) · (√(2) )/(√(2) ) = (√(10) )/(√(4) ) = (√(10) )/(2)