Hi I need some help with this you you guys can help me

The factored form of the expression is [tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]

The sum of squares of variable a and b is expressed as:

[tex]a^3+b^3=(a + b) (a^2 - ab + b^2 )[/tex]

Given the expression x^9 + 27, this can be written as;

(x³)³ + 3³

where a = x³ and b =3

Substitute

[tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]

This gives the factored form of the expression

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Answer:

(x3 + 3)(x6 − 3x3 + 9)

Step-by-step explanation:

PLATO

Answer:

1/9

Step-by-step explanation:

1/3 / 3 = 1/9

she will run 1/9

jog 1/9

and walk 1/9

to check all of them equal 1/3

1/9+1/9+1/9 = 3/9 = 1/3

Answer:

D

Step-by-step explanation:

When the denominator is equal to 0, the function doesn't exist. So factor the bottom, luckily its already partially factored.

(x^2 + 8x + 12) = (x+2)(x+6)

So now the denominator is (x+2)(x+6)(x-3)

The function doesn't exist when x = -2, -6, 3

Now we know there are 3 total discontinuities.

A and B can be eliminated

Since there is an (x+2) on the top and the bottom, they don't affect the shape of the function, but only causes a removable discontinuity when x = -2.

However, (x+6) and (x-3) are only on the bottom, so they DO change the shape, so they are non-removable

The answer therefore is 1 removable and 2 non-removable; D

Answer:

We have 1 removable discontinuity and 2 non-removable discontinuities

Step-by-step explanation:

Note that

[tex]x^2+8x+12 = (x+2)(x+6)[/tex]

Initially, we have discontinuities at

[tex]x = -2; x = -6; x = 3[/tex]

Considering

[tex]f(x)=\dfrac{(x+2)(x-6)}{(x^2+8x+12)(x-3)}[/tex]

But

[tex]\dfrac{(x+2)(x-6)}{(x^2+8x+12)(x-3)}= \dfrac{(x+2)(x-6)}{ (x+2)(x+6)(x-3)}= \dfrac{(x-6)}{ (x+6)(x-3)}[/tex]

We have now two discontinuities at

[tex]x = -6; x = 3[/tex]

Answer:

Step-by-step explanation:

D=T2-T1 D=T3-T2

D=8-2 D=14-8

D=6 D=6

r=T2/T1 r=T3/T2

r=8/2 r=14/8

r=4 r=7/4

Answer: 1180

Step-by-step explanation:

since its going 2,8,14,20, we can see it goes up by 6 every time Add 6 every time until u have 20 Numbers in total(including 2,8,14,20) then add them together to get ur total

Answer:

when x=0 y=7

when x=-1 y= 6

Step-by-step explanation:

to find x & y we can make the two x expressions equal to each other

x²+2x+7=7+x (we are going to set it equal to zero to find the roots/the x value)

x²+x=0

x(x+1)=0

x=0 x=-1 (two solutions for x)

now we just plug in these values and find the y values

when x=0 y=7

when x=-1 y= 6

Answer:

A if I'm wrong I apologize

Answer:

12 x 6 = 72

Step-by-step explanation:

if she took 12 crates each with 6 boxes inside of them thats 12 x 6 lol

simple math moment

Answer:

x = 95°

Step-by-step explanation:

x = 180° - 60° - 25° = 95°

Answer:

5 hours and a half!

Step-by-step explanation:

209miles divided by 38 miles per hour is 5.5!!

Answer:

Step-by-step explanation:

x = 3

Answer:

3×2+(-4)×(-2)=6+8=14

Answer:

Rate of interest =  10.95%

Step-by-step explanation:

Given:

Amount deposit in bank = 25,000

Number of year = 60 year - 40 year = 20 year

Future value = 200,000

Find:

Rate of interest

Computation:

A = P[1+r]ⁿ

Future value = Amount deposit in bank[1+Rate of interest]ⁿ

200,000 = 25,000[1+r]²⁰

8 = [1+r]²⁰

1.1095 = 1 + Rate of interest

Rate of interest = 0.1095

Rate of interest =  10.95%

Answer:

BB

Step-by-step explanation:

Answer:

ca

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

To find the median, put the data in order from smallest to largest

1,2,2,3,4,4,5,5,8,10,10,11

The count up the number of data points

12

Divide by 2

12/2

Split the data into 2 groups, 6 in each, starting at the beginning

1,2,2,3,4,4,   5,5,8,10,10,11

Since there is an even number

Add the last number in first group and the first number in the last group and divide by 2

(4+5)/2 = 9/2 = 4.5

The median is 4.5

Answer: 6

Step-by-step explanation:

6 x 5 = 30

6 x 3 = 18

6 x 1 = 6

The term greatest common factor means the biggest number that can divide into a group of numbers, and in this case, the numbers are 30, 18, 6, and the biggest number that can divide into all of them is 6.

Hope this helps,

Good luck!

Answer: Valerie has 9 and Bret has 18

Step-by-step explanation:

27-18= 9

Answer:

Yes

Step-by-step explanation:

3²+4²=5²

9+16=25

25=25

Answer:

Jesiah's time was faster than Oscar's time by 1.08 seconds.

Step-by-step explanation:

To find how much faster Jesiah ran than Oscar, subtract Oscar's time with Jesiah's time.

12.65 - 11.57 = 1.08

Jesiah was faster than Oscar by 1.08 seconds.

Good luck ^^

Answer:

8 + 7

Step-by-step explanation:

By the commutative property,

7 + 8 = 8 + 7

Answer:

x=8a

Step-by-step explanation:

Given data

We have the expression

a2a4=ax

Simplifying the LHS(Left Hand Side)

8a^2=ax

8a=x

Hence x will simplify to

x=8a

Answer:

Step-by-step explanation:

given

P= $26,000

R = 4%

T = 5 years

find I ?

I = P.R.T

I = $26,000*0.04*5

I = 5,200

Answer:

First blank - SAS congruence condition

Second blank - Congruent

Answer:

159 días.

Step-by-step explanation:

Dado que Emiliano firmó hoy un pagaré por la cantidad de $ 92.000 a una tasa de interés estipulada de un 20% anual, para determinar la cantidad de días que se necesitan para que dicho interés genere unos $8.000 se debe realizar el siguiente calculo:

92.000 x 0.2 = X

18.400 = X

18.400 / 365 = 50,41

8.000 / 50,41 = X

158.69 = X

Así, se necesitarán 159 días para que se generen $8.000 en intereses.

Answer:

y = 1/-5x - 1

Step-by-step explanation:

y+2 = -1/5(x-5)

y+2 = -1/5x+1

y = -1/5x -1

Answer:

Answers and steps are in picture.

Answer: 75%

Step-by-step explanation: 0.15/0.2=0.75

The probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Pedro observed what customers ordered at his ice cream shop and found the following probabilities:

P(Vanilla) = P(V) = 0.3

P(Sundae) = P(S) = 0.2

P(Vanilla and Sundae) = P(V and S) = 0.15

To find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae:

P(V|S) = P(V and S)/P(S)

P(V|S) = 0.15/0.2

P(V|S) = 0.75 or 75%

Thus, the probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

Learn more about the probability here:

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Answer:

T = 9.75 + 4.75 s

Step-by-step explanation:

total cost: T = 9.75 + 4.75 s

S = each snack

so the equation for Ainsley’s trip to the movies is

T = 9.75 + 4.75 s

Answer:

1 Expert Answer

19.5 ft would be represented, in the floor plan, as ¼ of 19.5 inches, i.e. 4.875 inches (four and seven eighths inches).

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