Use the graph or table to write a linear function that relates y to x

The solution for the rational equation (1/(x + 1)) - (1/(x + 2)) = 1/5 is specified by the option C.

C. x = -3.79, x = 0.79

A rational equation consists of a fraction that has a polynomial numerator denominator.

The specified equation can be expressed as follows;

[tex]\dfrac{1}{x + 1} - \dfrac{1}{x+2} = \dfrac{1}{5}[/tex]

Finding the common denominator for the right hand side expression, we get;

[tex]\dfrac{ (x + 2) - (x + 1)}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]

[tex]\dfrac{1}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]

[tex]\dfrac{1}{x^2+ 3\cdot x+ 2} = \dfrac{1}{5}[/tex]

Inverting both sides of the above equation, we get the following quadratic equation;

x² + 3·x + 2 = 5

x² + 3·x + 2 - 5 = 0

x² + 3·x - 3 = 0

The quadratic formula indicates that we get;

x = (-3 ± √(3² - 4×1×(-3))) ÷ (2 × 1)

x = (-3 + √(21)) ÷ 2 and x = (-3 - √(21)) ÷ 2

x ≈ 0.79 and x ≈ -3.79

The correct option is option C

C. x = -3.79, x = 0.79

Learn more on quadratic equations here: https://brainly.com/question/17105224

#SPJ1

For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by  $26786.2.

As given in the question,

Principal amount 'P' = $128,000

Time 't' = 15 years

Rate of interest 'r' = 5.5%

                             = 0.055

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 5.5 / 100 )^15

  = $285756.99

Now when the rate of interest is changed to

Rate of interest 'r' = 4.81%

                             = 0.0481

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 4.81 / 100 )^15

  = $258970.79

Now, the cost of four points is given by:

= $( 285756.99 - 258970.79 )

= $ 26786.2

Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to  $26786.2.

Learn more about rate of interest here

brainly.com/question/11339060

#SPJ4

The value of the expression 0.7 x √300 is 12.124.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.7 x √300

This can be written as,

= 0.7 x √3 x √100

= 0.7 x 1.732 x 10

= 12.124

Thus,

The value is 12.124.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

50  (hope this helps, have a good day)

Step-by-step explanation:

just divide The area divided by 2

Answer:

6 + 354 I THINK

Step-by-step explanation:

Answer:

9+354 = 363

Step-by-step explanation:

x = 3 so 3 to the power of 2 = 9 and (xyz = 354) so 9 + 354 = 363

Answer:

Step-by-step explanation:

(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]

Answer:

6647.6 liters

Step-by-step explanation:

The volume of a cylinder with end area r and length (or height) h is

V = πr²h

If we substitute 2.3 m for r and 400 m for h, we get:

V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters

Answer: 125

Step-by-step explanation:

The first term is 1³. The second term is 2³. The third term is 3³. And the Fourth term is 4³.

So the pattern is n term = n³

plug in 5

= 5³

= 125

Answer:

6x^2+xy-35y^2-2x

Step-by-step explanation:

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

Answer:

4

Step-by-step explanation:

I used a Calculater

=======================================================

Explanation:

Let's find the area of one of the circles

A = pi*r^2

A = pi*10^2

A = 100pi

One circle is exactly 100pi square meters in area.

Four of the circles then combine to a total area of 4*100pi = 400pi square meters.

The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.

The shaded region would therefore have an exact area of 1600-400pi square meters.

This approximates to 1600-400pi = 343.362938564082

Divide this over the area of the square to get the probability we want to find:

343.362938564082/1600 = 0.21460183660256

That's roughly 0.2146, which converts to 21.46%

Answer:

21.5%

Step-by-step explanation:

Find the area of the square, which is 40² or 1600 sq m

Find the area of one circle, multiply it by 4, then subtract that from 1600

A = 100(3.14) = 314

314 x 4 = 1256

1600 - 1256 = 344

Probability of landing in the shaded region is 344/1600 = 21.5%

Answer:

Maybe 2500 i dont know i forgot

Step-by-step explanation:

Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6

1. Marital status of nurses in a hospital-qualitative

2. Time it takes to run a marathon-quantitative

3. Weights of lobsters in a tank in a restaurant- quantitative

4. Colors of automobiles in a shopping center parking lot- qualitative

5. Ounces of ice cream in a large milkshake- quantitative

6. Capacity of the NFL football stadiums -qualitative

7. Ages of people living in a personal care home- quantitative

Qualitative variables are categorized or labelled to belong to a certain category or group.

There are two types of qualitative variables, Categorical and ordinal.

Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.

learn more about of variable here

https://brainly.com/question/17344045

#SPJ4

Given:

The data set is 13, 14, 15, 6, 17, 16, 3.

To find:

The mean absolute deviation for the data set.

Solution:

We have,

13, 14, 15, 6, 17, 16, 3

Mean of the data set is:

[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]

[tex]\overline{x}=\dfrac{13+14+15+6+17+16+3}{7}[/tex]

[tex]\overline{x}=\dfrac{84}{7}[/tex]

[tex]\overline{x}=12[/tex]

The formula for mean absolute deviation is:

[tex]MAD=\dfrac{\sum_{i=1}^n|x_i-\overline{x}|}{n}[/tex]

Using this formula, the mean absolute deviation for the data set is:

[tex]MAD=\dfrac{|13-12|+|14-12|+|15-12|+|6-12|+|17-12|+|16-12|+|3-12|}{7}[/tex]

[tex]MAD=\dfrac{1+2+3+6+5+4+9}{7}[/tex]

[tex]MAD=\dfrac{30}{7}[/tex]

[tex]MAD\approx 4.29[/tex]

Therefore, the mean absolute deviation for the data set is about 4.29.

trust me the answer is false :)

Answer:

No they are not, false

Step-by-step explanation:

We know that if the diagonals are perpendicular then they cut at 90 degrees  but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.

Would be amazing if you marked this brainliest :)

Answer:

You mean 4/5?

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.

The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.

Here,

Given :

Case 1: flat rate of $201 a month and you get unlimited visits.

and

Case 2:pay only $33 per month, but must pay $8 for each visit to the club.

Thus,

To find at what number of visits both plan be equal is

Let x be the number of visit,

We get,

Case 1: 201

Case 2: 33 + 8x

For equlaity:

=>33+ 8x =201

=>8x =168

=> x =168/8

=> x =21

Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Answer:

11) 20%

12)40

13)19

14)216

15)25%

16) 50

17) 986

18)220%

19)40

20)100%

Step-by-step explanation:

with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100

Answer:

11) 20%

12) 40

13) 19

14) 216

15) 25%

16) 50

17) 986

18) 220%

19) 40

20) 100%

Here's a fat rat in a hat

After combine they hold 115.84 ounces.

A process of combining or adding two or more numbers is called addition.

We have to given that;

One bottle holds 67.34 ounces and another bottle holds 48.5 ounces.

So, After combine, we get;

Both bottle hold = 67.34 ounces + 48.5 ounces

                         = 115.84 ounces

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

Step-by-step explanation:  12 - 14 is 2 years

                                               14 - 15 is 1 year

                                               15 - 17 is 3 years

I would say the rang is 1 -3 years apart

Hope this helps any

x<-3

Hope this helped! :T

Answer:25.5 divided by 3= answer I think

Step-by-step explanation:

Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

[tex]\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Answer: In mathematics, the reciprocal of a number is 1 divided by that number. So the reciprocal of 7/9 is 1/(7/9) which can be simplified to 9/7.

Therefore, 9/7 is the number that when multiplied by 7/9 will result in the product of 1.

Another way of arriving at the same solution is to remember that the product of a number and its reciprocal is always 1. In this case, the number is 7/9, and its reciprocal is 9/7.

Step-by-step explanation:

Answer:

y= 2/3x -1

Step-by-step explanation:

Ok so basically we want to put it in the form y=mx+b where m is 2/3 and passes through the point (9,5). So sub in the x and y of the point in brackets into the equation. 5= 2/3(9) + b and solve for b so b = -1. Therefore the equation is y=2/3x -1