The Quadratic when written in factored form is (x-3)(x+9)=0. What are the roots?
3 and 9
-3 and 9
3 and -9
-3 and -9

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

Answer:

k= -8/9j+ -1/9m+ 1

Step-by-step explanation:

Let's solve for k.

m=−8j−9k+9

Step 1: Flip the equation.

−8j−9k+9=m

Step 2: Add 8j to both sides.

−8j−9k+9+8j=m+8j

−9k+9=8j+m

Step 3: Add -9 to both sides.

−9k+9+−9=8j+m+−9

−9k=8j+m−9

Step 4: Divide both sides by -9.

-9k/-9= 8j+m-9/-9

Answer:

[tex]x<-5\text{ or } x>1[/tex]

Step-by-step explanation:

We have:

[tex](x+5)(x-1)[/tex]

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

[tex](x+5)(x-1)>0[/tex]

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

[tex](x+5)(x-1)=0[/tex]

Zero Product Property:

[tex]x+5=0\text{ or } x-1=0[/tex]

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

[tex]x=-5, 1[/tex]

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

[tex]x<-5\text{ or } x>1[/tex]

And we're done!

Answer:

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Step-by-step explanation:

(x+5) (x-1) >0

First find the zeros

(x+5) =0    x-1 =0

x= -5      x=1

We then have to check the regions

x< -5              -5 <x<1                  x>1

First x< -5

(x+5) (x-1)

X+5 will be negative  ( x-1) will be negative

(-) * (-) = +  so the values will be positive

Then     -5 <x<1      

X+5  will be positive   ( x-1) will be negative

( +) * (-)  will be negative

First x>1

(x+5) (x-1)

X+5 will be positive  ( x-1) will be positive

(+) * (+) = +  so the values will be positive

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Answer:

3x=4

Step-by-step explanation:

3x+3=7

3x=4

Answer:

0.5

Step-by-step explanation:

4a+5=7

4a=7-5

4a=2

a=2/4

Answer:

a = 1/2

Step-by-step explanation:

4a + 5 = 7

4a = 2

a = 1/2

Answer:

Domain: 8,4,0,1

Range: 7,9,0,17

Answer:

 2xy4 • (11x2 + 14xy + 17)

Step-by-step explanation:

(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)

(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)

 (((2•11x3) • y4) +  (22•7x2y5)) +  (2•17xy4)

5.1     Pull out like factors :

  22x3y4 + 28x2y5 + 34xy4  =   2xy4 • (11x2 + 14xy + 17)  

Trying to factor a multi variable polynomial :

5.2    Factoring    11x2 + 14xy + 17

Final result :

 2xy4 • (11x2 + 14xy + 17)

Answer:

7

Step-by-step explanation:

try substituting

crossmultyply

x=-9-y

substituting

-9-y=-25+9

y=16

substituting

pick one of the equations

x+y=-9

x-16=-9

x=-9+16

x=7

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Answer:

Gigi Jojo Jojo hip-hop Dutch him

so do Cob zoom from chick dunno drink gum

Step-by-step explanation:

hjjjhb. bjkn

jkk.

hj. hm.

gin

ghb.

8vb.

ucnluh itg.hboy

Answer:

Yes

Step-by-step explanation:

You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.

Answer:

A:-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

280÷8=35+5=$40

Answer:

Both Triangle are congruent because they have equal sides (the same amount of ticks on each side) The triangles are congruent.

Step-by-step explanation:

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

The  mixture contains 12.55 milliliters.

Two or more expressions with an Equal sign is called as Equation.

Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.

we need to find the amount of  milliliters does the mixture contain.

Add twelve point three plus zero point two five.

12.3+0.25

 12.30

+  0.25

_______

12.55

Hence, the  mixture contains 12.55 milliliters.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Answer:

3

Step-by-step explanation:

22=6c=4+12c

    -6c      -6c

22=4+6c

-4   -4

18=6c

/6   /6

3=c

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

-6a - 4(a - 3) = -6a + 15

=> -6a - 4a + 12 + 6a - 15 = 0

=> -4a - 3 = 0

=> -4a = 3

=> a = -3/4

Answer:

69

\

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-8(17-12)

------------

-2(8-(-2)

= -8(5)

--------

-2(10)

= -40

----------

-20

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = − 38

Step-by-step explanation:

Answer:

−38

Step 1: Simplify both sides of the equation.

−(6x+8)=4(17−x)

−6x+−8=(4)(17)+(4)(−x)(Distribute)

−6x+−8=68+−4x

−6x−8=−4x+68

Step 2: Add 4x to both sides.

−6x−8+4x=−4x+68+4x

−2x−8=68

Step 3: Add 8 to both sides.

−2x−8+8=68+8

−2x=76

Step 4: Divide both sides by -2.

−2x−2=76−2

x=−38

88 degrees.

Total measure of triangle's angles is 180 degrees.

angle <2 and 42 degrees are corresponding so <2 is also 42 degrees.

50 + 42 = 92.

180 - 92 = 88 degrees

If this helped, please mark branliest.

Answer:

False

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer: 120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

it last 2 hours and 30 min

Step-by-step explanation: