I need help with this one

Answer:

Hello,

Step-by-step explanation:

1. We must decompose the conic into 2 lines.

[tex]f(x,y)=x^2-5xy+y^2+5x-2y+1=0\\\\We\ are\ going\ to\ find\ the\ center\\\\\left\{\begin{array}{ccc}\dfrac{ \partial{f} }{\partial{x} }&=&12x-5y+5=0\\\\\dfrac{ \partial{f} }{\partial{y} }&=&-5x+2y-2=0\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x=0\\y=1\\\end {array} \right.\\\\We\ must\ find\ an\ other\ point\ of\ f(x,y).\\\\if\ y=0\ then\ x=\dfrac{-1}{2} \ or\ x=\dfrac{-1}{3}[/tex]

The 2 lines are: 2x-y+1=0 and 3x-y+1=0

Paralleles are y=2x and y=3x

Perpendiculars are x+2y=0 and x+3x=0

If 1/2 cup of soup equals 120 milliliters, then there are 780 milliliters in

3 1/4 cups of soup.

A milliliter is a metric unit that is abbreviated as ml and is used to measure volumes for liquid and gas states. It is usually used to measure smaller volumes of liquids as it is equal to 1/1000 of a liter.

We can find the milliliters in 3 1/4 cups of soup as follows:

1/2 cup of soup = 120 milliliters

As 1/2 = 0.5

We can rewrite it as:

0.5 cup of soup = 120 milliliters

3 1/4 cups = 3.25 cups

Consider milliliters in 3 1/4 cups = x

Therefore,

0.5 cup = 120 ml

3.25 cups= x

Cross multiply to find x,

0.5 x = 120x3.25

0.5 x = 390

x= 390/0.5 = 780 milliliters

Hence it is found that 3 1/4 cups of soup is equal to 780 milliliters.

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Answer:

2, 20, 200, 2,000, 20,000, 200,000

Answer: 0.2, 0.02 0.002

In a condition where Sophia needs to earn at least $1800 as a part of her living expenses, she will need to sell goods worth at least $16,745 if she earns 10.75% commission on everything she sells.

What is the significance of living expenses?

Living expenses of an individual can be referred to or considered as the amount of expenditure made by a person for living for a predefined period of time. The living expenses also include the spending towards the necessities of an individual.

In the condition given above, the provided information can be used in order to find out about the living expenses as,

Living Expenses = Sales x Commission

1800 = Sales x 10.75%

Sales = 1800 / 10.75%

Sales = $16,744.12

Therefore, the significance regarding the living expenses has been aforementioned.

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If n =12 then there are 50 person who can sit .

Hexagonal - In geometry, a hexagon is a closed two-dimensional six-sided polygon. It is made up of six line segments and six vertices that form six internal angles. The sum of all the internal angles of a hexagon is 720°.

Each table seats 4 people, which can be represented with n,plus two more people at either end of the set of tables. The table is hexagonal and so can seat 6 people. So, the given equation defines this situation.

The number of people who can sit at the tables increases by 4 each time a table is added

P=4n+2

the given equation to find the number of tables n.

P=4n+2

Where P = person

and n= no of tables .

given that

n=12

put value of n in equation to find the no. of person .

P = 4(12) +2

P = 48 +2

P = 50.

Hence,in this given seating arrangement 50 person can sit on 12 tables. .

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Answer:

60

Step-by-step explanation:

divide 39 by 65%,

you will get
39 / ( 65/ 100)
= 39 * (100/65)
= 39 * (20 /13)
= 3*20
= 60

Yes,  the moving boxes will fit in this volume.

The current volume of box :

Volume = height * width * depth

Volume = 12 * 9 * 2

Volume = 216 in³

New dimension :

Height and volume are the same

Width = 9 - 1 = 8

Depth = x

Volume = height * width * depth

216 = 12 * 8 * x

216 = 96x

x = 216 / 96

x = 2.25 inch

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

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Answer:

1.5797 x 10^-4

Step-by-step explanation:

The number of people who would prefer Choco chocolate chip  is 120.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

In order to determine the number of people who would prefer Choco chocolate chip , multiply the given ratio of people who prefer Choco chocolate chip by the total number of people in the group.

The number of people who would prefer Choco chocolate chip = (ratio of people who prefer choco / sum of ratios) x number of people

(3/5) x 200 = 120

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The value of JK is 12

From the diagram shown, we can see that;

But line JL is the line with JK and KL as the line segments and K the midpoint between J and K

This can be represented as;

JK + KL = JL

substitute the values into the equation, we have;

3x + 8 = 5x

collect like terms

3x - 5x = -8

subtract like terms

-2x = -8

makes 'x' the subject of formula

x = -8/-2

x = 4

But JK = 3x = 3(4) = 12

Thus, the value of JK is 12

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answer:

7.65, 7.321, 7.3, 7.065

explanation:

on a number line, these numbers would be in order as shown above from right to left (decreasing value)

Answer:The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Step-by-step explanation:

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

7.065, 7.3, 7.321, 7.65

7.3, 7.321, 7.065, 7.65

7.321, 7.3, 7.65, 7.065

this is correct--> 7.65, 7.321, 7.3, 7.065

Answer:

multiples of 14

Step-by-step explanation:

we multiply 7×2

Step-by-step explanation:

could it be that the equation is rather

-5 = (-8 + v)/3

?

that is a huge difference ...

to solve such an equation we keep transforming it (every change we make we have to do on both sides of the equation to keep the equality), until we have only the variable on one side, and everything else (which is then the solution) on the other side.

1st step : we get rid of the "/3" by multiplying both sides by 3.

that gives us

-5×3 = ((-8 + v)/3)×3 via the multiplication property.

2nd step : we simplify

-15 = -8 + v

3rd step : we get rid of the -8 on the side of the variable by adding 8 to both sides.

that gives us

-15 + 8 = -8 + 8 + v via the addition property.

4th step : we combine like terms (or simplify, if we can use it a second time) :

-7 = 0 + v

-7 = v

that's it.

1.2 because you take 2 congruent sides of each shape and divide the larger one by the small one. in this example you could do

8.4÷7

36.6÷30.5

19.2÷16

they all give you 1.2

Answer:

-8/3 < -2 1/2 < 9/2 < 4 3/4

Step-by-step explanation:

-2.667 < -2.5 < 4.5 < 4.75

Answer:

156, because the mean is 13, and the mean in equal to all of the numbers added up and divided by how many numbers there are.

Answer:

Step-by-step explanation:

following the clarification in the comment

3x+2=2x+13 all divided by 3  (both side)

(3x + 2)/3 = (2x + 13)/3

3x + 2 = 2x + 13

x = 13 - 2

x = 11

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

check

(3 * 11 + 2)/3 = 2 * 11 + 13)/3

3 * 11 + 2 = 2 * 11 + 13

35 = 35

the answer is good

The expressions that simplifies to 41 are:

a) 10 + 2³ * 4 - 1

d) 10 + (2³ * 4) - 1

Information about the problem:

a) 10 + 2³ * 4 - 1

b) 10 + 2³ * (4 - 1)

c) (10 + 2³) * 4 - 1

d) 10 + (2³ * 4) - 1

We solve the equations respecting the level of hierarchy:

a) 10 + 2³ * 4 - 1

10 + 8*4 - 1

10 + 32 - 1

42 - 1

41 (it applies)

b) 10 + 2³ * (4 - 1)

10 + 8 * (3)

10 + 24

34 (it doesn't applies)

c) (10 + 2³) * 4 - 1

(10 + 8) * 4 - 1

18*4 - 1

72 - 1

71 (it doesn't applies)

d) 10 + (2³ * 4) - 1

10 + (8*4) - 1

10 + 32 -1

42 - 1

41 (it applies)

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

(x-3)^2 - 8, so a is 3 and b is 8

Step-by-step explanation:

use completing the square

hope this works :)

Answer:

2 units

Step-by-step explanation:

radius = diameter/2 -> r = 4/2 = 2 units

Step-by-step explanation:

-282.02 its korrect now

El grafico de la ecuación lineal se puede ver en la imagen al final.

En este caso queremos graficar la ecuación lineal:

5y - 15 = -4x

Para ello debemos encontrar dos puntos en la linea, y para hacer eso podemos evaluar en dos valores de x.

Sí x = 0 obtenemos:

5y - 15 = -4*0

5y = 15

y = 15/5 = 3

Sí x= 5 obtenemos:

5y - 15 = -4*5

5y = -20 + 15

5y = -5

y = -5/-5 = -1

Entonces solo tenemos los dos puntos (0, 3) y (5, 1), ahora debemos graficar estos en un eje de coordenadas y trazar una linea que pase por ambos, como en el ejemplo de abajo.

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The area of the six-sided polygon = 220.5 square ft.

Given that the six-sided polygon consists of two isosceles triangles and a rectangle. So the total area to be cut will be equal to the sum of areas of the triangles and the rectangle.

First triangle has base = 15 ft and height = 15 ft

Area of a 1st triangle = 1/2 x base x height

                             = 1/2 x 15 x 15

                             = 112.5 square feet

Second triangle has base = 4 ft and height = 4 ft

Area of the 2nd triangle = 1/2 x base x height

                                        = 1/2 x 4 x 4

                                        = 8 square ft

The rectangle has length = 25 ft and width = 4 ft

Area of the rectangle = length x width

                                    = 25 x 4

                                    = 100 square ft

So the total area of the six-sided polygon = 112.5 + 8 + 100

                                                                      = 220.5 square ft.

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the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.

We know that odd consecutive numbers means the difference between the numbers will be 2

So, let the first odd number be x

Second number will be = x + 2

Third number will be = x + 2 + 2 = x + 4

Now, we are given that, the sum of these odd integers is 153

So, we get the equation as:

x + x + 2 + x + 4 = 153

3 x + 6 = 153

3 x = 153 - 6

3 x = 147

x = 147 / 3

x = 49

Largest integer = x + 4 = 49 + 4 = 53

Therefore, we get that, the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.

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Answer:

the answer is 70,007

Step-by-step explanation:

again the answer is 102,002

Answer:

Step-by-step explanation:

70007

The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3 therefore option (C) and (D) will be correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

Given the function,

f(x) = [tex]2^{x}[/tex] + 3

At x = 0 → f(0) = 2⁰ + 3 = 3

This is an exponential function as shown below which will be increasing as x increase while it will gain the value y = 3 as x decrease.

Hence "The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3".

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Answer: -48

Step-by-step explanation:

k/3 + 16

find the roots by factoring

which leads to -48

k/3 + 16

To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.

                   k/3 + 16 × 3/3

Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.

                          k + 16 × 3/3

We perform the multiplications in k+16×3.

                                         k + 48/3

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Answer: (2, -3)

Step-by-step explanation:

To get these points, you just need to multiply the coordinates by 1/4, or divide by 4

Using a system of equations, the amounts of each ticket sold are given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The theater sold 250 tickets, hence:

x + y + z = 250.

The theater brought in $2,825, hence, considering the value of each ticket:

15x + 10y + 8z = 2825.

The number of student tickets sold is twice the number of adult tickets sold, hence:

y = 2x.

Replacing in the first two equations:

Multiplying the first equation by -8 and adding with the second, we have that:

11x = 825

x = 825/11

x = 75.

Then:

The amounts of each ticket sold are given as follows:

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