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3 years ago

Solve on y: 3y+5/2y+1 = 2/6

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

y = 4

Step-by-step explanation:

Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.

-5 + 3y + -2y = -1 + 2y + -2y

Combine like terms: 3y + -2y = 1y

-5 + 1y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0

-5 + 1y = -1 + 0

-5 + 1y = -1

Add '5' to each side of the equation.

-5 + 5 + 1y = -1 + 5

Combine like terms: -5 + 5 = 0

0 + 1y = -1 + 5

1y = -1 + 5

Combine like terms: -1 + 5 = 4

1y = 4

Divide each side by '1'.

y = 4

Simplifying

y = 4

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Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Afina-wow [57]

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

$2^x + 2^{-x} = 3$

Queremos calcular:

$4^x + 4^{-x}$

Tambien sabemos que 4 = 2*2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}$

y sabemos que 2*2 = 2^2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}$

y ahora podemos usar la relación:

$(a^n)^m = (a^m)^n = a^{m*n}$

entonces:

$(2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2$

Ahora podemos completar cuadrados sumando y restando el termino:

$2*(2^x)*(2^{-x})$

Asi tendremos:

$(2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Entonces de momento tenemos que:

$4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

$a^n*a^m = a^{n + m}$

en el termino de la derecha.

Asi tendremos:

$(2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7$

7 0

3 years ago

A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien

Rudiy27

Answer:

5 represent calories from other ingredients

c= 5 1/2 grams

Step-by-step explanation:

Total calories=c grams of carbohydrates + other ingredients

Total calories in granola bite=27

The equation 4c + 5 = 27 represents the relationship between these quantities

1. 5 represent calories from other ingredients

2. Priya said that neither 8 nor 3 could be the solution to the equation

4c + 5 = 27

When the solution is 8

4(8)+5=27

32+5=27

37 =27

Solution 8 gives a higher calories than total calories

When solution is 3

4(3)+5=27

12+5=27

17=27

Solution 3 gives a lower calories than total calories

3. Solution to the equation

4c + 5 = 27

Subtract 5 from both sides

4c+5-5=27-5

4c=22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

c= 5 1/2 grams

7 0

4 years ago

The girls tennis team was interested in raising funds for an upcoming trip. The team sold tumblers for $10 and sun hats for $5

gtnhenbr [62]

The equations that can be used are 10T + 5S = 190 and T + S = 30.

<h3><u>Equations</u></h3>

Given that the girls tennis team was interested in raising funds for an upcoming trip, and the team sold tumblers for $10 and sun hats for $5, and when the sales were over, the team had earned $190 and sold 30 total products, which included a mix of tumblers and hats, to determine which equations can be used to represent the situation, the following calculations must be made:

T + S =190
-It cannot be used because it has any relationship with the price of the products.

10T + 5S = 30
-It cannot be used because it only considers the quantity variable.

T + S = 30
-It can be used as it shows the amount of products sold.

10T + 5S = 190
-It can be used because it relates the total price to the quantity of each product.

T + S = 15
-It cannot be used because it only considers the price variable.

5T + 10S = 190
-It cannot be used because it erroneously relates the price of each product.

Therefore, the equations that can be used are 10T + 5S = 190 and T + S = 30.

Learn more about equations at brainly.com/question/26511270.

5 0

3 years ago

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Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.

nikitadnepr [17]

Answer:

$(x-100)

Step-by-step explanation:

Phil entered the poker tournament with $100.
He received a price of $x.

His net winnings from the tournament will be the price minus the entry fee.

Therefore:

Phil's net winnings=$(x-100)

8 0

4 years ago

The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that

Damm [24]

Answer:

rebecca increased the length by 3 and the width by 2

Step-by-step explanation:

First we need to find the length and width by factorizing the expressio ofr the area;

A = 2w^2+7w+6

A = 2w^2+4w+3w+6

A = 2w(w+2)+3(w+2)

A = (2w+3)(w+2)

Since l = 2w

Length = 2w+3

width = w+2

This shows that rebecca increased the length by 3 and the width by 2

6 0

3 years ago

Solve on y: 3y+5/2y+1 = 2/6​

Solve on y: 3y+5/2y+1 = 2/6