Find the quotient of 1/6 and 2/9

Answer:

No

Step-by-step explanation:

Answer: The equation is not an identity

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Explanation:

We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.

I'll use  c = a+b as a way to help distribute.

[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]

Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.

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Here's another way you can see that we don't have an identity.

Let's say we fixed 'a' to be equal to 1.

That means the equation

[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]

would turn into

[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]

and simplify to

[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]

Now replace b with x and you'll have the two equations to represent the left and right hand sides

[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]

which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.

Side note: you can pick other values for 'a' instead of just 1.

Answer:

1,390 I think that's the answer

Step-by-step explanation:

hope that helps

The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given are some expressions in the options.

Distributive rule says that,

a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.

5x(8 + 6) = 5x(14) = 70x

5(8x + 6y) = 40x + 30y

10(40x + 30y) = 400x + 300y

10(4x + 3y) = 40x + 30y

2y(20x + 15) = 40xy + 30y

2(20x + 15y) = 40x + 30y

Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

Learn more about Expressions here :

https://brainly.com/question/21751419

#SPJ2

The complete question is :

Which of the following expressions are equivalent to 40x+30y. Choose all that apply.

5x(8 + 6)

5(8x + 6y)

10(40x + 30y)

10(4x + 3y)

2y(20x + 15)

2(20x + 15y)

Answer:

The value of [tex]f(2) - g(7)=-58[/tex]

Step-by-step explanation:

We have

[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]

Answer:

13 in12

Step-by-step explanation:

From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.

From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.

Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:

y = 30 - (2 × x)

y = 30 - 2x

y = -2x + 30

Learn more about equations on:

https://brainly.com/question/13763238

Answer:

325.5 i think

Step-by-step explanation:

Answer: 5 inches per hour or 2.5 inches per half an hour

Step-by-step explanation:

Amount of Time Passed: 2 hours 30 minutes

Difference in Candle Height: 12.5 inches

12.5 / 2.5 = 5 inches

5 inches per hour or 2.5 inches per half an hour

If it is incorrect, please let me know.

The answer is for this question is A

Answer:

2q+7r+8

Step-by-step explanation:

(q+3)+(q+2)+(7r+3)

Brainliest is very apprieciated!

Answer:

-6+12x

Step-by-step explanation:

9-15+12xmultiply -3(5-4x), calculate the difference

-6+12x

Answer:

-16.1y + 14

Step-by-step explanation:

–7(2.3y − 2)

=> -16.1y + 14

Therefore, -16.1y + 14 is the simplified form.

Hoped this helped

[tex]GeniusUser[/tex]

Answer:

53

Step-by-step explanation:

sorry if im incorrect

Answer:

32 m

4 sec

Step-by-step explanation:

just trust me i did the math

Answer:

i agree with the other person

Step-by-step explanation:

Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

Answer:

$1.99 is the unit price

Step-by-step explanation:

13.93 divided by 7 determines the unit price

Step-by-step explanation:

you can clarify on that please

Answer:

[tex]5xy^4[/tex]

Step-by-step explanation:

[tex]\frac{15x^3y^5}{3x^2y}[/tex]

= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]

= [tex]\frac{5xy^5}{y}[/tex]

= [tex]5xy^4[/tex]

Answer:          

asd

Step-by-step explanation:

Answer:

Marissa = 28 cakes in 2 weeks

Carlos = 60 cakes in 20 days

Shelby = 5 cakes in 2 days

To compare, make sure that the variables are of equal value

Marissa = 28 cakes in 14 days

Carlos = 60 cakes in 20 days

Shelby = 5 cakes in 2 days

How many cakes does each of them bake in a day?

Marissa = 28 ÷ 14

             = 2 cakes/day

Carlos = 60 ÷ 20

           = 3 cakes/day

Shelby = 5 ÷ 2

            = 2.5 cakes/day

Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.

Answer:

34.64m

Step-by-step explanation:

Tan30= x(height) /60

x=60tan30

=34.64m

Answer:

Yes I agree with Morgan

Step-by-step explanation:

The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.

Answer: 72 1/2 or 725/10 as mixed number

Step-by-step explanation:

Answer:

72.5/100

Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2

Answer:

3x - 24 = 81

3x = 81 + 24

3x = 105

x = 105 / 3

x = 35

Step-by-step explanation:

Answer:

  38.525 in²

Step-by-step explanation:

The area formula for a triangle is useful here.

  A = 1/2bh . . . . . . b=base length; h=height

  A = 1/2(11.5 in)(6.7 in) = 38.525 in²

The area is 38.525 square inches.

Answer:

x = - 5, x = 1

Step-by-step explanation:

let f(x) = 0 , that is

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

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

Plot the points - 5 and 1 on the number line

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

Answer:

Step-by-step explanation:

(b). ( x , 0 )

Zero where the graph crosses the X-axis: 1

Zero where the graph touches, but does not cross the X-axis: ( - 1 )

(c). ( 0, y )

- ( 0 + 1 )²( 0 - 1 ) = 1