write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)

A.  (N • p)(x) = -8x² + 320x

B.  (N • p - C)(x) = -8x² + 120x .

Function - a function is a relationship or expression involving one or more variables.  It has a set of input and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

given that -

N(x) = x

p(x) = 320 – 8x  for  0 ≤ x ≤ 10

C(x) = 200x

(N ∙ p)(x) =?

(N ∙ p – C)(x) =?

For the question A....

         (N ∙ p)(x) = N(p(x))

         N(p(x)) = N(320 – 8x)  

         N(p(x)) = x(320 – 8x)

       (N ∙ p)(x) =  320x - 8x²

For the question B....

      (N ∙ p – C)(x) = N.((p-c)(x))

      N.((p-c)(x)) = N.(p(x) - c(x))

      N.((p-c)(x)) = x.(320 – 8x) -(200x)

      N.((p-c)(x)) = 320x - 8x² - 200x

      N.((p-c)(x)) = -8x² - 120x

Thus , the function represent (N • p)(x) = -8x² + 320x and (N • p - C)(x) = -8x² + 120x . These are the relationship between N , P , C.

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Answer:

16

Step-by-step explanation:

4+4+4+4=16

Answer: 4x4 is 16 if need help getting that answer count by fours 4,8,12,16

Answer:

10

Step-by-step explanation:

to find the range, subtract the smallest number from the largest number

Answer:

Range: 10

General Formulas and Concepts:

Statistics

Step-by-step explanation:

Step 1: Define

5, 11, 2, 12, 4, 2

Step 2: Rearrange

2, 2, 4, 5, 11, 12

Step 3: Identify

Biggest number = 12

Smallest number = 2

Range = 12 - 2 = 10

Answer:

katie

Step-by-step explanation:

because 10 is bigger than 8

Answer:

is it -3/5

hope that can help

Answer:

[tex]\boxed {\boxed {\sf m= - \frac{3}{5} }}[/tex]

Step-by-step explanation:

Slope can be found by dividing the change in y by the change in x.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points we are given are:

[tex](-3,4 ) \ and \ (2,1)[/tex]

Therefore,

[tex]x_1=-3 \\y_1= 4 \\x_2= 2\\y_2=1[/tex]

Substitute the values into the formula.

[tex]m=\frac{1-4}{2--3}[/tex]

Solve the numerator.

[tex]m= \frac{-3}{2--3}[/tex]

Solve the denominator.

[tex]m= \frac{-3}{5}[/tex]

This fraction cannot be simplified further, so this is the slope.

The slope of the line is -3/5

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

^fractions lesson^

8 5/12 : 1 3/4

step 1:

(8 × 12 + 5)/12

=101/12

step 2:

(1 × 4 + 3)/4

=7/4

ok, enter:

101/12 : 7/4

=101/12 × 4/7

=404/84

=4 68/84

=4 17/21

Answer:

Step-by-step explanation:

Answer:

I have no clue to me have u tryed using a online solver thing

Step-by-step explanation:

Answer:

19

Step-by-step explan

Multiply by 5 until you get to 95 :)

Step-by-step explanation:

El IQR se utiliza en las empresas como marcador de sus tasas de ingresos. Para una distribución simétrica (donde la mediana es igual a la bisagra media, el promedio de los cuartiles primero y tercero), la mitad del IQR es igual a la desviación absoluta de la mediana (MAD). La mediana es la correspondiente medida de tendencia central.

The expression 4x < 4 is true, when x is less than 1

The inequality expression is given as

4x < 4

Divide both sides of the inequality by 4

So, we have

4x/4 < 4/4

Evaluate the quotient

x < 1

This means that the expression 4x < 4 is true, when x is less than 1

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Answer:

The student played basketball for 40 minutes.

Step-by-step explanation:

Given that one week a student exercised for 2 hours at school and for 2/3 of an hour at home, it can be stated that the student exercised for 2 hours and 40 minutes (since 60 x 2/3 is equal to 40 ). Thus, in total the boy exercised for 160 minutes (2 x 60 + 40).

Now, since he spent 1/4 of that time playing basketball, the time spent doing this sport is determined through the following calculation:

160/4 = X

40 = X

Thus, the student played basketball for 40 minutes.

Answer: 4/9

Step-by-step explanation:

The answer is 3

Explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. 3

Answer:

its 3

Step-by-step explanation:

Answer: Tom is 46 years old and Jerry is 34 years old.

Answer:

153,930 that is the answer hope it is right

Answer:

about 1,400

Step-by-step explanation:

its about 1,400 because you would round 210 to 200, and 733 to 700.

please give brainliest :))

Answer:

155.3"^3

Step-by-step explanation:

the volume of a cone: 1/3 [tex]\pi[/tex]r^2 h

the volume of a right circular cone will be

1/3 [tex]\pi[/tex](5.1)^2 * 11.4

310.60 for a full circular cone.

for a right circular cone, we use 90/180 of the volume.

= 155.3

The volume of the cone is 121.8 in³.

A cone is a 3-dimensional shape that consists of a flat circular base and a tip known as the vertex.

Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h

Where:

π = pi = 22/7

r = radius

h = height

Volume =  [tex]\frac{1}{3}[/tex] x 22/7 x 5.1² x 11.4 = 121.8 in³

To round off to the nearest tenth, if the hundredth figure is greater or equal to 5, add to the tenth figure, if this is not the case, the tenth figure remains unchanged.

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Answer:

Step-by-step explanation:

19.

a) to find thhe x- intercept we make y=0

x² +4x -5 = 0

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

x+5=0 so x=- 5

x-1 =0 so x= 1

b)

y-intercept is at (0, -5)

c)

axis of symmetry is at

x=-b/2a =-4/2*1 = -2

x= -2

d)

vertex is at (-2, -9) because x coordinate is on the axis of symmetry at -2 and

y= x² +4x -5= (-2) ² +4(-2)  -5 = 4-8-5 = 4-13 = -9

Answer:

e

Step-by-step explanation:

The secant- secant angle CAD is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] ( CD - BE ) = 20 ( multiply both sides by 2 )

CD - BE = 40 , substitute values

3x + 10 - 2x - 8 = 40

x + 2 = 40 ( subtract 2 from both sides )

x = 38

Thus

arc CD = 3x + 10 = 3(38) + 10 = 114 + 10 = 124° → e

The number of roses that will be less expensive to order from A is 33

In this question, Florist A charges $4.75 per blue rose plus $40 delivery charge and the Florist B charges 5.15 per red pose plus 25$ delivery charge.

If Florist B increases the cost per rose to $5.20, we need to find the number of roses for which it would be less expensive to order from Florist A or Florist B.

Let the total charge be y and the number of rose be x

Florist A : the equation for the total cost would be,

y = 40 + 4.75x                     ---------1

Florist B : the equation for the total cost would be,

y = 25 + 5.2x                       --------2

We solve above equations to find the value of x i .e., to solve for the number of roses.

Equating equation 1 and 2,

40 + 4.75x = 25 + 5.2x

40 - 25 = 5.2x - 4.75x

15 = 0.45x

x = 15/0.45

x = 33.33

x ≈ 33

Therefore, the number of roses that will be less expensive to order from A is 33

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Answer:

1/4

Step-by-step explanation:

2/4 divided by 2 equals 1/4.

Answer:

HonEy me dont no no anything PERIODT

Step-by-step explanation:

The value of x is 42

According to the question,

Given that,

Line AB is a straight line

m<AOB = 180°                                        

 a straight line angle is 180 °

All these angles is equal to angle AOB

m<AOE +m <EOF+ m <FOB=m<AOB  

Now put the value of all the angles

we get the value of x

x +2x +34 +20 = 180

add x variable

3x + 54 = 180

3x = 126

x = 42

The value of x is 42

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation. In this way, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. Before moving to solve the linear equations using the substitution method, get an idea on what the algebraic method and graphical method is.

Algebraic Method

An Algebraic method is a collection of several methods, which are used to solve a pair of the linear equations that includes two variables. Generally, the algebraic method can be sub-divided into three categories:

Substitution method

Elimination method

Cross-multiplication method

Graphical Method

The graphical method is also known as the geometric method and is used to solve the system of linear equations. In this method, the equations are designed based on the objective function and constraints. To solve the system of linear equations, this method has undergone different steps to obtain the solutions.

In this article, we will focus mainly on solving the linear equations using the first algebraic method called “Substitution Method” in detail.

Substitution Method Steps

For instance, the system of two equations with two unknown values, the solution can be obtained by using the below steps. Here, the list of steps is provided to solve the linear equation. They are

Simplify the given equation by expanding the parenthesis

Solve one of the equations for either x or y

Substitute the step 2 solution in the other equation

Now solve the new equation obtained using elementary arithmetic operations

Finally, solve the equation to find the value of the second variable

Graphing of Linear Equations

Solving Linear Equations

Linear Equations in Two Variables

Difference Between Linear and Non-Linear Equations

Elimination by Substitution Method

In this method, the elimination of the variable can be performed by substituting the value of another variable in an equation. Hence, this method is called the elimination by substitution method.

Let us assume the system of linear equations

2x+3y = 13 and x-2y = -4

Given:

2x+3y = 13  …  (1)

x-2y = -4 …(2)

The equation (2) can be written as

x = 2y-4 … (3)

Now, in equation (1) eliminate the variable x by substituting the equation (3).

Hence, equation (1) becomes

2(2y-4) +3y = 13

Now, apply the distributive property for the above equation,

4y-8+3y = 13

Now, solve the above equation for the variable y

7y – 8 = 13

7y = 13+8

7y = 21

y= 21/7

y= 3

Hence, the value of y is 3.

Now, substituting y=3 in the equation (2), we get

x- 2(3) = -4

x – 6=-4

x = -4+6

x = 2

Therefore, the value of x is 2.

Hence, the solution for the system of linear equations is:

x = 2 and y=3

To check whether the obtained solution is correct or not, substitute the values of x and y in any of the given equations.

Verification:

Use Equation (2) to verify the solution

x-2y = -4

Now, substitute x= 2 and y=3

2-2(3) = -4

2-6= -4

-4=-4

Here, L.H.S = R.H.S

Hence, the obtained solution is correct

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Answer:

7,-7

Step-by-step explanation:

Absolute value means the distance from 0.  Distance is not negative, so 7 and -7 are both 7 units from zero.

Answer:

37

Step-by-step explanation:

180-127=53

180-53-90=37

Answer:

This is late, but the answer was B.

Answer:

The answer is b

Step-by-step explanation:

Answer:

Purple y=5/2x - 4

Yellow y=1/5x + 0

Red undefined

Green y = -3/2x - 4

Blue Undefined

Step-by-step explanation:

If a Slope is Vertical, the slope is undefined. I used rise/run for the others.

Answer:

3.2

Step-by-step explanation:

Answer:

ITS A THE FIRST ONE

Step-by-step explanation: