The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:


f(x) = 0.25x2 − 8x + 600


The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:



x g(x)

6 862.2

8 856.8

10 855

12 856.8

14 862.2



Based on the given information, determine which company has a lower minimum and find the minimum value.

g(x) at (10, 855)

f(x) at (16, 536)

g(x) at (16, 536)

f(x) at (10, 855)

Answer:

pomogło dzięki xxxxxxxxxx

Answer:

m = 6

Step-by-step explanation:

➟ m² = 36

in order to find the value of m take square root from both side

➟ [tex] \sf \: \sqrt{ {m}^{2} } = \sqrt{36} [/tex]

Calculate the values

➟ m = 6

∴ the value of m is 6

The solutions are (0, - 6) ,(7, 8)

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - (1)

y = 2x - 6- - - - - - - - - - - (2)

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

For more information about quadratic equations, visit https://brainly.com/question/1214333

#SPJ9

By the use of arithmethic, the final temperature in Sudbury is - 1 °C.

In this problem we know that initial temperature and two consecutive changes in time. A temperature rise represents a positive change, whereas a temperature fall represents a negative change, then the final temperature is equal to sum of the initial temperature and its two changes:

T = T' + ΔT₁ + ΔT₂

T = 4 °C + 5 °C - 10 °C

T = 9 °C - 10 °C

T = - 1 °C

To learn more on temperature changes: https://brainly.com/question/11186605

#SPJ1

The value of x in the question is 4

The given parameters are

PQT = 60

PQS = 4x + 14

The line bisects PQT

So, we have

PQS = 1/2 * PQT

This gives

4x + 14 = 1/2 * 60

Evaluate

4x + 14 = 30

Evaluate the like terms

4x = 16

Divide by 4

x = 4

Hence, the value of x in the question is 4

Read more about angle bisector at

https://brainly.com/question/24677341

#SPJ1

When both bags weigh over 50 pounds when the passenger approaches the check in counter, the person will pay an extra charge.

It should be noted that one will pay for an excess luggage when the luggage is heavier than the allowance when the person checks in.

It should be noted that every airline has a restriction on how heavy the luggage can be.

Therefore, when both bags weigh over 50 pounds when the passenger approaches the check in counter, the person will pay an extra charge.

Learn more about passengers on:

brainly.com/question/1152719

#SPJ1

Land withdrew money in the form of an geometric series and he had $96 in his account in January.

A geometric series in mathematics is made up of an unlimited number of terms with a fixed ratio between them.

Each term is connected to the previous term by a simple ratio.

if the first term of an Geometric series be a, and the common ratio r then the second term is ar, third term is ar² and so on.

the nth term of a  Geometric series is calculated by

[tex]a_n=ar^{n-1}[/tex]

Now here we know that the final term of the Geometric series is $1.50.

So each month Lang withdrew half of his money.

So the common ratio of each terms is [tex]\frac{1}{2}[/tex].

Number of months=6(n=7)

Now we have to find the initial term of the Geometric series.

We know that [tex]a_n=ar^{n-1}\\[/tex]

Given n=7 and r=1/2 and aₙ=1.5

Substituting the values we get:

[tex]1.5=a\times(\frac{1}{2})^{7-1} \\or, 1.5=a \times (\frac{1}{2} )^6\\or, 1.5=a\times \frac{1}{64} \\or,a=96[/tex]

Hence Lang had $96 in his bank account before his first withdrawal.

To learn more about geometric series visit:

https://brainly.com/question/21087466

#SPJ9

A model plane would be 57.7 feet high.

In this question,

A model airplane takes off at an angle of elevation of 30°C

We need to find how much the plane will be high after traveling 100 feet horizontally.

Consider the following diagram.

Let angle ACB is the angle of elevation.

∠ACB = 30°

the horizontal distance CB = 100 feet

We need to find the distance AB.

Consider tangent of angle ACB.

⇒ tan(30) = AB / BC

⇒ 0.577 = AB / 100

⇒ AB = 0.577 × 100

⇒ AB = 57.7 feet

Therefore, a model plane would be 57.7 feet high.

Learn more about the angle of elevation here:

brainly.com/question/21137209

#SPJ4

Answer: 19 ==> 1st option

Step-by-step explanation:

f(x) = 5x + 1

f(-4)=5(-4) + 1

f(-4)=-20 + 1

f(-4)=-19 ==> 1st option

Answer:

5(2.47y−2.03)

Use the distributive property to multiply 5 by 2.47y−2.03.

12.35y−10.15

Step-by-step explanation:

By applying the triangle midpoint theorem to the triangle, the value of x is equal to: D. 12.

In Geometry, two (2) triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Triangle midpoint theorem states that the line segment which connects the midpoints of two (2) sides of a triangle must be parallel to the third side, and it's congruent to one-half of the third side.

By applying the triangle midpoint theorem to the triangle, we have:

8x = 2(2x + 24)

8x = 4x + 48

8x - 4x = 48

4x = 48

x = 48/4

x = 12.

Read more on triangle midpoint theorem here: brainly.com/question/12234706

#SPJ1

The number of miles that Maria ran is 25.6 mile.

From the information given, she runs for 4 hours at a speed of 6.4 miles per hour.

It should be noted that distance is calculated as the speed multiplied by the time taken.

In this case,the distance will be:

= Speed × Time

= 6.4 × 4

= 25.6 miles

Learn more about speed on:

brainly.com/question/13943409

#SPJ1

If the coordinates are rotated 90 degrees clockwise, the resulting expression will be;

B' = (0, -5)

K' = (-3, 0)

U' = (2, -2)

Y' = (-3, 4)

When a coordinate (x, y) is rotated 90 degrees clockwise around the origin is (-y, x)

Given the coordinates points

B = (5, 0)

K = (0, 3)

U = (2, -2)

Y = (4, 3)

If the coordinates are rotated 90 degrees clockwise, the resulting expression will be;

B' = (0, -5)

K' = (-3, 0)

U' = (2, -2)

Y' = (-3, 4)

Learn more on rotation here: https://brainly.com/question/26249005

#SPJ1

Step-by-step explanation:

this is the solution above

Answer:

23x10

Step-by-step explanation:

Its 23x10^3 because its basically because 10 times 10 is a 100 and 100x10 is 10000 and 11x104 will be like 1000 smth (calculate it if u want)

The coordinate points  of g(x) are (-1, 2), (0, 0), (1, 2).

We know that the points (-1, 1), (0, 0), and (1, 1) belong to f(x) graph, where:

f(x) = x^2

Notice that the inputs in these points are x = -1, x = 0, x = 1.

Function g(x) is:

g(x) = 2x^2

Using the given inputs, we have:

g( -1) = 2*(-1)^2 = 2

g(0) = 2*0^2 = 0

g(1) = 2*(1)^2 = 2

Then the coordinate points  of g(x) are (-1, 2), (0, 0), (1, 2).

Learn more about coordinate points:

https://brainly.com/question/12959377

#SPJ1

Answer: x=8 ==> A

Step-by-step explanation:

15x-6=114     ==> both angles are congruent angles, so they're equal

15x-6+6=114+6

15x=114+6

15x=120

15x/15=120/15

x=120/15

x=8 ==> A

The congruent segments, [tex] SC \cong HR [/tex] and [tex] HR \cong AB[/tex], according to the substitution property of equality, gives; [tex] SC \cong AB [/tex]

The given parameters are;

Required;

To prove;

[tex] SC \cong AB[/tex]

Solution;

From the given parameters, and the definition of congruency, we have;

According to the symmetric property of equality, we have;

SC = HR

Therefore;

According to the substitution property of equality, we have;

If a = b and a = c, therefore;

b = c

Which gives;

HR = SC

HR = AB

Therefore;

SC = AB

Which gives;

[tex] SC \cong AB [/tex] (Inverse of the definition of congruency)

Learn more about the properties of equality here:

https://brainly.com/question/13344409

#SPJ1

The value of the expression 8 x `1000 is 8000

The expression is given as

8 x `1000

The above expression implies that we multiply 8 by 1000

This can be done directly using a calculator, and it can be solved step by step

The step by step procedure is as follows

Express 1000 as 10 x 100

So, we have

8 x `1000 = 8 x `10 x 100

Evaluate 8 x 10

8 x `1000 = 80 x 100

Evaluate 80 x 100

8 x `1000 = 8000

Hence, the value of the expression 8 x `1000 is 8000

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

The distance between pair of parallel lines with the following equation

y=x+2 y=x-4  is  [tex]3{\sqrt 2 }[/tex]

​

Parallel lines are any two or more lines that lie in the same plane but never cross one another. Both have the same slope and are equally distant from one another. No matter how far we extend a parallel line, it will always remain straight.

The fundamental characteristics listed below make it simple to recognize parallel lines.

The slope of a line which is perpendicular to both the lines will be -1. Check what are the y-intercept of any of the two lines and write the equation of the perpendicular line through it.

The y-intercept of the line y = x − 4 is (0,−4).

So, the equation of a line with slope −1 and a y-intercept of −4 is y = −x −4.

The perpendicular intersects or meets the line y = x - 4 at (0, 4).

Now, to find the point of intersection of the perpendicular & the other line, solve the two equations. Solve the right sides & solve for x.

x + 26 = -x - 6

     2x = -6                                       (combine them like terms)

       x = -3                                       (divide both the side by 2)

Find y:

y = -3 - 4

  = -7

So, the point of intersection is (−3,−7).

Use the Distance Formula to find the distance between the points (-3, -7) and (0,−4).

[tex]{\displaystyle d={\sqrt {\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}}[/tex]

  [tex]={\sqrt {\left(0-(-3\right)^{2}+\left(-4-(-7\right))^{2}}}[/tex]

  [tex]={\sqrt {3^2 +3^2}}[/tex]

  [tex]=3{\sqrt 2 }[/tex]

Learn more about Parallel lines

https://brainly.com/question/4954460

#SPJ4

Answer:

The solution below is wrong. The correct solution is [tex]x = \frac{-b (+-)\sqrt{73} }{16}[/tex]

Step-by-step explanation:

Rearrange the numerals :

[tex]9x + 2 = 8x^2 + 6x\\8x^2 + 6x - 9x - 2 = 0\\8x^2 - 3x - 2 = 0\\[/tex]

Use quadratic formula :

Solution 1: (Note: the -b"+"....  is actually "±" as the system has some problem of adding "±" symbol)

[tex]x = \frac{-b+\sqrt{b^2 - 4ac}}{2a} \\x = \frac{-(-3)+\sqrt{(-3)^2 - 4(8)(-2)}}{2(8)} \\x= \frac{3+\sqrt{9 + 64 }}{16} \\\\x= \frac{3+\sqrt{73 }}{16} \\\\[/tex]

Hope this helps, it would really help me if u mark me as the brainliest.

Answer:

[tex]\textsf{a)} \quad a_n=3n+15[/tex]

[tex]\textsf{b)} \quad \begin{cases}a_n=a_{n-1}+d\\a_1=18\end{cases}[/tex]

[tex]\textsf{c)} \quad 63[/tex]

[tex]\textsf{d)} \quad 648[/tex]

Step-by-step explanation:

An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.

Explicit Formula

[tex]\boxed{a_n=a+(n-1)d}[/tex]

where:

Given information:

Nadia increases the number of push-ups each day by 3.  Therefore:

Substitute the values of a and d into the formula to create an explicit formula to model the number of push-ups Nadia does each day:

[tex]\implies a_n=18+(n-1)3[/tex]

[tex]\implies a_n=18+3n-3[/tex]

[tex]\implies a_n=3n+15[/tex]

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

Recursive Formula

[tex]\boxed{a_n=a_{n-1}+d}[/tex]

where:

We already know the common difference from the previous calculations.

Therefore:

[tex]\implies a_n=a_{n-1}+3[/tex]

When giving a recursive rule we have to define the first term of the sequence, as it is not part of the formula.  Therefore, the full recursive rule for the given scenario is:

[tex]\begin{cases}a_n=a_{n-1}+d\\a_1=18\end{cases}[/tex]

To calculate how many push-ups Nadia will do on October 16, substitute n = 16 into the recursive formula from part (a):

[tex]\implies a_{16}=3(16)+15[/tex]

[tex]\implies a_{16}=48+15[/tex]

[tex]\implies a_{16}=63[/tex]

Therefore, Nadia will do 63 push-ups on October 16.

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac12n(a+a_n)}[/tex]

To find the total number of push-ups Nadia does from October 1 to October 16, substitute n = 16, a = 18 and a₁₆ = 63 into the formula:

[tex]\implies S_{16}=\dfrac12(16)(18+63)[/tex]

[tex]\implies S_{16}=8(81)[/tex]

[tex]\implies S_{16}=648[/tex]

Therefore, Nadia does a total number of 648 push-ups from October 1 to October 16.

Learn more about arithmetic sequences here:

https://brainly.com/question/28010120

The exterior angle ([tex]\angle[/tex] 5) is larger than either remote interior angle

([tex]\angle[/tex] 7 and [tex]\angle[/tex] 8) then m [tex]\angle[/tex] 2 > m [tex]\angle[/tex] 8 and m [tex]\angle[/tex] 5 > m [tex]\angle[/tex] 8 .

What is meant by Exterior Angle Inequality Theorem?

According to the exterior angle inequality theorem, the measure of any exterior angle of a triangle is greater than the measure of either of the opposite interior angles. The adjacent interior angle and the exterior angle are supplementary. A triangle's exterior angles add up to 360º.

A triangle's exterior angle is always greater than its two remote interior angles.

By the Exterior Angle Inequality Theorem, the exterior angle ([tex]\angle[/tex] 2) is larger than either remote interior angle ([tex]\angle[/tex] 6 and [tex]\angle[/tex] 8).

Similarly, the exterior angle ([tex]\angle[/tex] 5) is larger than either remote interior angle ([tex]\angle[/tex] 7 and [tex]\angle[/tex] 8).

Therefore, m [tex]\angle[/tex] 2 > m [tex]\angle[/tex] 8 and m [tex]\angle[/tex] 5 > m [tex]\angle[/tex] 8 .

To learn more about Exterior Angle Inequality Theorem refer to:

https://brainly.com/question/956912

#SPJ4

The electric potential at the origin is 11.9834 ×[tex]10^{9}[/tex] .

V = k (q/r)

V = 8.98755 × [tex]10^{9}[/tex] ×(-4/3)

V= 11.9834 ×[tex]10^{9}[/tex] is the the electric potential at the origin.

The effort required to transfer a unit charge against an electric field from a reference point to a specified spot.

Electric potential difference is the potential created when a charge is moved from one point to another within the field itself, whereas electric potential is the effort done per unit charge to transport the charge from infinity to a point in the electric field.

The amount of work required to move a unit positive charge from infinity to a particular point in an electric field is called the electric potential.

To learn more about electric potential from the given link:

brainly.com/question/12645463

#SPJ4

The system of equations that could be used to determine the number of commercials and the number of movies on which Jayden's songs were played is illustrated as 30(x + 4) + 120(x) = 420.

The variable is that the number of times the song was played in movies is represented by x.

From the information, Jayden is a songwriter who collects royalties on his songs whenever they are played in

a commercial or a movie and she will earn $30 every time one of his songs is played in a commercial and he will earn $120 every time one of his songs is played in a movie

Let the number of times the song was played in movies be x.

Jayden's songs were played on 4 more commercials than movies. This will be x+4.

Therefore, the equation to solve the question will be:

30(x + 4) + 120(x) = 420

30x + 120 + 120x = 430

150x + 120 = 430

150x = 430 - 120

150x = 310

x = 310/150

x = 2.1

Number of movies = 2

Number of commercial = x + 4 = 6

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

Step-by-step explanation:

Answer:

hope u get it............

The area of the parallelogram is approximately equal to 59.994 square units.

The area of a parallelogram is equivalent to the sum of the areas of the two triangles by adding a diagonal. Then, the area of each triangle can be found in terms of side terms by Heron's formula. First, find the length of each side:

Side AB

AB = (4, 6) - (- 2, 6)

AB = (6, 0)

AB = √(6² + 0²)

AB = 6

Side CD

CD = (- 1, - 4) - (5, - 4)

CD = (- 6, 0)

CD = √(6² + 0²)

CD = 6

Side AD

AD = (- 1, - 4) - (- 2, 6)

AD = (1, 10)

AD = √(1² + 10²)

AD = √101

Side BC

BC = (5, - 4) - (4, 6)

BC = (1, - 10)

BC = √[1² + (- 10)²]

BC = √101

Side AC

AC = (5, - 4) - (- 2, 6)

AC = (7, - 10)

AC = √[7² + (- 10)²]

AC = √149

Second, determine the areas of the two triangles.

Triangle ABC

s = 0.5 · (AB + BC + AC)

s ≈ 14.128

A = √[s · (s - AB) · (s - BC) · (s - AC)]

A ≈ 29.997

Triangle ACD

s = 0.5 · (AC + CD + AD)

s ≈ 14.128

A = √[s · (s - AC) · (s - CD) · (s - AD)]

A ≈ 29.997

Third, find the area of the parallelogram by adding the two areas calculated in the previous step:

A' = 29.997 + 29.997

A' = 59.994

The area of the parallelogram is approximately equal to 59.994 square units.

To learn more on Heron's formula: https://brainly.com/question/22391198

#SPJ1

The problem statement provides information about the Vasquez Family, who pay visits to their grandmother every three weeks and host a neighborhood party every eight weeks.

The number of weeks combined when the Vasquez Family visits their grandmother and hosts the neighborhood party is 24 weeks.

The total number of weeks with all the three events occurring together (visit, neighborhood party, hiking) is 48 weeks.

Now we concluded that the number of weeks is 24 because we know that the Vasquez family visits their grandmother every three weeks and hosts a neighborhood party every eight weeks.

Therefore,  we will look for a least common factor of both 3 (visit) and 8 (party) and that LCM (least Common Factor) is 24.

Therefore, the number of weeks when the Vasquez family visits their grandmother and hosts the neighborhood party is 24.

Complete Problem Statement:

The Vasquez family visits their grandmother every three weeks and hosts a neighborhood party every eight weeks. Every 16 weeks, the Vazquez family takes a day to go hiking. After how many weeks will the Vasquez family visit their grandmother and host the neighborhood party? After how many weeks will all three events occur?

Problems dealing with the concept of Factors are in the link below.

brainly.com/question/25829061

#SPJ4

The value of f(x)= (x-3).g(x)+8

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of Euclidean division.

dividend= divisor x quotient+ remainder

given that, f(x) has remainder 8 and divided by x-3

as per division algorithm we can say that

dividend= divisor x quotient+ remainder

f(x)= (x-3).g(x)+ 8

if we need to find f(3) then put 3 in the place of x

that gives you f(3) = (3-3).g(x)+ 8

                        f(3)= 8

to learn more about division visit:

brainly.com/question/21416852

#SPJ1

The answer to f(x)= (x-3). g(x)+8

An algorithm for dividing two integers, N and D, into their quotient and/or remainder, or the product of Euclidean division, is known as a division algorithm.

Dividend equals Divisor x Quotient plus Remainder.

Given that, f(x) is divided by x-3 and has a remainder of 8.

The division algorithm allows us to state that

Dividend equals Divisor x Quotient plus Remainder.

f(x)= (x-3) (x-3).

g(x)+ 8

If we need to find f(3), we should substitute 3 for x.

giving you f(3) = (3-3).

g(x)+ 8

f(3)= 8

To learn more about visit :
brainly.com/question/14506243