All categories

2 years ago

Tyrone factored the polynomial completely. What is the value of B? 12x4 30x3 4x2 10x Ax(Bx2 1)(2x 5) 2 3 5 6.

Mathematics

2 answers:

Fantom [35]2 years ago

6 0

On comparing with the equation, the value of B is 3.

The correct option is B.

Given

Tyrone factored the polynomial completely.

$\rm 12x^4+30x^3+4x^2+10x$

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

The factors of the polynomial are;

$\rm 12x^4+30x^3+4x^2+10x\\\\2x(6x^3+15x^2+2x+5)\\\\2x(3x^2(2x+5)+1(2x+5))\\\\2x(3x^2+1)(2x+5)$

On comparing with the equation;

$\rm 2x(3x^2+1)(2x+5)=Ax(Bx^2+1)(2x+5)\\\\B=3$

Hence, the value of B is 3.

To know more about factorization click the link given below.

brainly.com/question/17595467

matrenka [14]2 years ago

4 0

Answer:

Step-by-step explanation:

2022

You might be interested in

WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

5 0

3 years ago

Find the value of x in the triangle shown below.<br> Choose 1 answer:

Ad libitum [116K]

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

$13^{2} = 5^{2} + x^{2} .$

$x^{2} = 169 - 25 = 144.$

$x = 12.$

Rounding this off to the nearest hundred, we get that x is 12 units long.

7 0

3 years ago

Solve the equastion for x + 2 1/2 =10

Virty [35]

Answer:

x= 7 1/2

Step-by-step explanation:

Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)

So 10- 1/2= 9 1/2

Subtract the 2 to get it out of the way

9 1/2-2=

7 1/2

Hope it helped :)

8 0

2 years ago

What's the answer? Can't figure it out

soldier1979 [14.2K]

9x⁹ - 90x⁸ - 351x⁷

What do each of these numbers have in common?

They ALL have 9x⁷ in them!

So, divide each one of these by 9x⁷

9x⁹ ÷ 9x⁷ = 9x²

-90x⁸ ÷ 9x⁷ = -9x

-351x⁷ ÷ 9x⁷ = -39

So, factorized completely, it is :

9x² - 9x - 39

~Hope I helped!~

4 0

3 years ago

URGENT!!

Vikentia [17]

Answer:

7 x p = 70

Step-by-step explanation:

7 vehicles times some number of people in each one equals 70 people in all

4 0

2 years ago