Which states the main argument of the essay?
A. the first sentence
B. the second sentence
C. the third sentence
D. the fourth sentence

Given:

Polynomial = P(x) = 3x² + kx + 6

Factor of the ablove polynomial = (x+3)

To Find:

Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6

Solution :

Now,

x + 3 = 0

⇒x = (-3)

So,

As (x+3) is a factor so x = (-3) is one root of the polynomial.

Therefore,

P(-3) = 0

→ P(-3) = 3(-3)² + k(-3) + 6 = 0

→ 3(9) - 3k + 6 = 0

→ 27 - 3k + 6 = 0

→ 27 + 6 - 3k = 0

→ 33 - 3k = 0

→ - 3k = -33

→ k = -33 ÷ -3

→ k = 11

3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero

→ 3x²+ 11x + 6

→ 3(-3)² + 11(-3) + 6

→ 3(9) - 33 + 6

→ 27 - 33 + 6

→ 27 + 6 - 33

→ 33 - 33

→ 0

Hence verified !

Answer:

f(x) = 2

Step-by-step explanation:

f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.

We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).

As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.

Then we have have to find the slope which can be found by using the following formula.....

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now we have to choose two different points from table and let the one that has bigger x value be represented as  [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]

Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....

f(x) = mx + b

f(x) = 0x + 2

f(x) = 2

Answer:

[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]

Step-by-step explanation:

[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a) [tex]\frac{1}{3}[/tex] k² - 9

b) -7y² - 3

Step-by-step explanation:

a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²

  = [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9

  = [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36

  = [tex]\frac{3}{9}[/tex] k² - 27

  = [tex]\frac{1}{3}[/tex] k² - 9

____________________________________

b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)

  = 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)

  = 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)

  = 5y² + 15 - 12y² - 18

  = 5y² - 12y² + 15 - 18

  = -7y² - 3

Hope this helps!

(NOTE: Do you mind marking me as Brainliest?)

Answer:

a=6

Step-by-step explanation:

subtract 4 from both sides

-3a+4-4=-14-4

simplify

-3a=-18

divide both sides by -3

-3a/-3=-15/-3

simplify

a=6

Answer:

x = 106°

Step-by-step explanation:

sum of interior opposite angles of a triangular is equal to a exterior angle

= x +22= 40 +88

= x = 128- 22

x = 106 °

hope this answers will be helpful for you and plzzz mark my answer as brainlist plzzzz vote me also.....

Answer:

10

Step-by-step explanation:

thats the answer

x=5

2x=10

x√3=√170

Answer:

2160 degrees

Step-by-step explanation:

The general equation to find the sum of interior angles in a polygon is;

[tex](n - 2) * 180[/tex]

Where "n" is the sides of the polygon.

Substitute in 14 for "n"

( 14 - 2 ) * 180

Solve;

( 14 - 2 ) * 180

12 * 180

2160

Answer:

the answer is 50

Step-by-step explanation:

the answer is 50 because lets say the the amount for a plain pizza is $12 that will be your inital value. 50 is your rate of change cause they price is add onto by 50 cents per topping.

Answer:

The answer is no

Step-by-step explanation:

Answer:

(c) is the right answer

go for it

hope it helps you

Step-by-step explanation:

please mark me as brainliest please

Answer:

Here

Step-by-step explanation:

The volume of cuboid = (Length x Breadth x Height) cubic units = ( l x b x h) cubic units.

Answer:

a and c

Step-by-step explanation:

Answer:

I believe its A and D

Step-by-step explanation:

Well Monday had the lowest temperature because its -5

On Wednesday and Thursday the tempature was above 0

and on monday and tuesday the tempature was below

Answer: 1,120 frogs

Step-by-step explanation:

If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;

= 180 - 12

= 168 frogs

168 frogs out of every 180 do not have spots. Out of 1,200 that would be;

= 168/180 * 1,200

= 1,120 frogs

Step-by-step explanation:

First let's simplify the upper part which is without x/8a

3a/x multiply xa/x

3a xa

__ x __

x x

x the denominator of 3a is cancelled with the x from xa the numerator.

that leaves us with

3a × a

__

x

we get 3a squared divided by x =

3a^2

____

x

now since we're dividing it with x/8a

3a^2 x

____ ÷ _____

x 8a

we change the sign ÷ to x so we flip the x/8a

3a^2 8a

_____ x ____

x x

8x3 = 24

a^2 x a = a^3

x multiply x = x^2

the final answer

24a^3

_____

x^2

Answer:

9016 litres left

Step-by-step explanation:

The fish were not sick.

You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left

Answer:

The producer wrote 20 songs

The Singer wrote 34 songs

Step-by-step explanation:

Let

Number of songs the producer wrote = x

Number of songs the singer wrote = 2x - 6

Total songs written by singer and the producer = 54

54 = x + (2x - 6)

54 = x + 2x - 6

54 + 6 = 3x

60 = 3x

Divide both sides by 3

x = 60/3

= 20

x = 20 songs

Number of songs the producer wrote = x = 20 songs

Number of songs the singer wrote = 2x - 6

= 2(20) - 6

= 40 - 6

= 34 songs

The producer wrote 20 songs

The Singer wrote 34 songs

Answer:

If the left column is the width then the length is 45

If the right column is width then the length is 7.2

Step-by-step explanation:

ratios

Answer:

f(x) = x^4 - 5x^3 - x^2 + 5x should be the answer

Step-by-step explanation:

x = 0 1 -1 5

x = 0

x - 1 = 0

x + 1 = 0

x - 5 = 0

f(x) = x (x - 1) (x + 1) (x - 5)

(x - 1) (x - 5) = x(x) - 1(x) - 5(x) - 1(- 5)

x^2 - x - 5x + 5

f(x) = (x^2 - 6x + 5) (x + 1)

x^2(x) - 6x(x) + 5(x) + x^2(1) - 6x(1) + 5(1)

x^3 - 6x^2 + 5x + x^2 - 6x + 5

f(x) = (x^3 - 5x^2 - x + 5) x

x^3(x) - 5x^2(x) - x(x) + 5(x)

f(x) = (x^4 - 5x^3 - x^2 + 5x)

Answer:

y = x^4 - 5x^3 - x^2 + 5x

Step-by-step explanation:

hope i helped

Answer:

no

Step-by-step explanation:

it does not fall on the line

whats the question?????

Answer:the question is chemistry and the sander is math

Step-by-step explanation:

Answer:

Jay could be thinking of 11  

Step-by-step explanation:

Prime numbers are the numbers that have two factors only, 1 and itself as

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, .................

All prime numbers can divide by 1 and itself only

∵ A number is a prime number

∵ The sum of its digits is 1 more a square number

∴ The sum of its digits = 1 + x, where x is a square number

→ We will start with the first prime number of 2-digits

∵ 11 is a prime number

∵ The sum of its digits = 1 + 1 = 2

→ Substitute it in the equation above to find x

∴ 2 = 1 + x

→ Subtract 1 from both sides

∵ 2 - 1 = 1 - 1 + x

∴ 1 = x

∵ 1 is the square of 1

∴ Jay could be thinking of 11  

You can check some of the other prime numbers to find another number

Answer:  [tex]385cm^{2}[/tex]

Step-by-step explanation:

given data:

AB= 10 cm.

BC = 22 cm.

volume of a cylinder V = [tex]\pi r^{2} h[/tex]

h = 10.

solution

base of the circumference = 22cm

circumference of a circle = [tex]2\pi r[/tex]

r = radius is unknown.

[tex]2\pi r = 22[/tex] .........................eq1

where [tex]\pi = \frac{22}{7}[/tex] insert this into eq1.

[tex]2* \frac{22}{7}* r = 22[/tex]

[tex]\frac{44}{7} r = 22[/tex]

[tex]r = \frac{22}{\frac{44}{7} }[/tex]

[tex]r= 3.5cm[/tex]

next we solve for the volume of the cylinder.

recall   [tex]V = \pi r^{2} h[/tex]

h = 10cm

r = 3.5cm

[tex]V = \frac{22}{7} * (3.5)^{2} *10[/tex]

[tex]V = 385cm^{2}[/tex]

Answer:

$5.40

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have an amazing day and consider marking this brainliest if you do thank you in advanced!

Answer:

63.24 euros were deposited in the bank.

Step-by-step explanation:

Claire's bank account was overdrawn.

Last month, Initial balance in the bank account = -45.32 euros

After a month, the balance became positive i.e. 17.92 euros.

To find:

What changes were made in the account?

Solution:

The balance came to a positive value from the negative value, it means that some money was deposited in the bank account.

Let the money deposited in the bank account = [tex]x[/tex] euros

As per question statement:

[tex]-45.32 + x = 17.92\\\Rightarrow x = 63.24\ euros[/tex]

Answer:

Claire has 17.92 euros in her account.

Step-by-step explanation:

khan said so

Answer:

bro just look on a caculater

Step-by-step explanation:

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