Enunciado:Si una empresa determina que sus costos obedecen a un modelo lineal y además sabe que si produce $10$ unidades sus costos totales son de $4000$ dólares y que si produce $15$ unidades sus costos ascienden a $5000$ dólares, entonces la función que modela sus costos totales es:

Answers

Answer 1

Responder:

y = 200x + 2000

Explicación paso a paso:

Deje que la ecuación lineal se exprese como y = mx + c

m es la pendiente

c es la intersección

Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;

(10,4000) y (15,5000)

Conseguir la pendiente

m = 5000-4000 / 15-10

m = 1000/5

m = 200

Obtener la intersección c

Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c

4000 = 200 (10) + c

4000-2000 = c

c = 2000

Sustituya m = 200 y c = 2000 en la ecuación y = mx + c

y = 200x + 2000

Por tanto, la expresión lineal requerida es y = 200x + 2000


Related Questions

Write 4(2z+5) in expanded form

Answers

Answer:

8z + 20

Step-by-step explanation:

f(z) = 4(2z+5)

     = 4*2z + 5*4

     = 8z + 20


a) Name 2 different segments.
b) Name 2 different lines.
c) Name one angle
x
d) The name Angle A is too vague. Why?
e) What Kind of angle has less than 90 degrees?
f) Draw a right angle here.
8) Define supplementary angles.
b) Name AC in another way

Answers

Segment AD, line FC, Angle BEC, it is too vague because there is multiple different angles it could be, an acute angle is less than 90 degrees, a right angle is a straight line with a horizontal line coming off of it and a square in the corner to represent 90 degrees, supplementary angles are 2 angles whose sum adds to 180 degrees.

is -33 an integer? ​

Answers

Answer:

Yes

Step-by-step explanation:

An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.

The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reaches the hole 1 second after it is hit, at time 0. What is the equation of the parabola, in vertex form, that represents the ball's distance from the hole, y, at time x

Answers

Answer:

The required equation is:

[tex]y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4[/tex]

Explanation:

Let us assume that the hole is at y = 0m, with x as the time.

From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)

At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)

We know that the vertex of the parabola y = ax² + bx + c is at

[tex]x =\frac{-b}{2a}[/tex]

therefore we have:

[tex]-1 = \frac{-b}{2a}[/tex]

We then have the following equations:

[tex]8 = a\times -1^2 + b\times -1 + c[/tex]

[tex]0 = a\times -1^2 + b\times 1 + c[/tex]

[tex]-1 = \frac{-b}{2a}[/tex]

From the 3rd equation we have

1 X 2a = b.

Therefore we have:

[tex]8 = a\times -1^2 - 1\times 2a\times1 + c[/tex]

[tex]0 = a\times 1^2 + 1 \times2a\times 1 + c[/tex]

We can simplify both equations and get:

[tex]8 = a\times( -1^2 - 2s^2) + c = -a\times 3^2 + c[/tex]

[tex]0 = a\times(1^2 + 2^2) + c = a\times 3^2 + c[/tex]

The first equation now becomes:

[tex]8 = -a\times 3 - a\times 3 = -a\times 6[/tex]

[tex]a = frac{8}{-6} = -\frac{4}{3}[/tex]

With a, we can find the values of c and b.

[tex]c = -a\times3 = -(-\frac{4}{3})*3 = 4 [/tex]

[tex]b = 1\times 2a = 1\times 2(-\frac{4}{3})= -\frac{8}{3}[/tex]

Then the equation is:

[tex]y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4[/tex]

Please help! I don't understand!

Answers

Answer:

F

Step-by-step explanation:

Answer: G.

Step-by-step explanation:

Just try it out please, I'm 99.9% sure about this answer.

en una caja hay 8 canicas cinco rojas y tres verdes y la Bola que se retira no se reemplaza determina Cuál es la probabilidad de sacar dos bolas verdes​

Answers

Answer: 0.107

Step-by-step explanation:

En una caja tenemos 8 canicas.

5 son rojas

3 son verdes.

Se retira una canica, y no se remplaza.

Quiero calcular la probabilidad de sacar dos canicas verdes.

La probabilidad de sacar una canica verde en el primer intento, es igual al cociente entre el numero de canicas verdes y el numero total de canicas.

p1 = 3/8  

Ahora, en el segundo intento, en la caja voy a tener 2 canicas verdes (por que ya saque una) y 7 canicas en total. Entonces la probabilidad va a ser:

p2 = 2/7.

Y la probabilidad conjunta (es decir, la probabilidad de sacar las dos canicas de color verde) va a ser igual al producto de las probabilidades individuales.

P = p1*p2 = (3/8)*(2/7) = 0.107

Which of the following quantities is a velocity?
A. 25m/s
B. 3g/L in weight
C. 15m/s2
D. 10km/he eastward

Answers

Answer:

A

Step-by-step explanation:

Eliza bought a video game for $39.99. Sales tax is 7%. How much money in total does she need to give the cashier?

Answers

Find 7 percent of 39.99 which is approximately 2.80. Then you add it which gives you 42.79

Out of 2,4,7,8,12,15,19,24,34 wich is not a multiple of 4

Answers

Answer:

2, 7, 15, 19, 34

Step-by-step explanation:

First, we have to know what a multiple is. A multiple is a number (n) that can be evenly divided by a certain base number (b). An evenly divided number is one that has no decimal points (ex: 1, 100, 24). For example, the multiples of 8 (b) would be 16, 24, 32, etc (n). Another example would be that 32 is a multiple of 2, 8, 16, etc. since it can be evenly divided by those numbers.

In this case, n = each of the numbers in that list, while b = 4. So now we just have to look at what numbers in our list can be evenly divided by 4.

2 is not a multiple since it cannot be evenly divided by 4, since it is less than 4.4 is a multiple of 4, since 4/4 = 1, and 1 is evenly divided.7 cannot be evenly divided by 4, and thus is not a multiple of 4.8 can be evenly divided by 4, since 8/4 = 2,  and thus is a multiple of 4.12 can be evenly divided by 4, since 12/4 = 3,  and thus is a multiple of 415 cannot be evenly divided by 4, and thus is not a multiple of 419 cannot be evenly divided by 4, and thus is not a multiple of 4.24 can be evenly divided by 4, since 24/4 = 6, and thus is a multiple of 4.34 cannot be evenly divided by 4, and thus is not a multiple of 4

Since we're asked to find the numbers that are not multiples of 4, our answer to the question would be:

2, 7, 15, 19, 34

TEST ITS TIMED
In the figure, line a is parallel to line b.
Which angles are supplementary to angle 7? Select THREE that apply

Answers

Answer:

Angle 6, Angle 8, Angle 2, and Angle 4 are supplementary to Angle 7.

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!

Supplementary angles are the angle whose sum is 180° thus the angles which are supplementary to angle 7 are 8 and 6.

What is an angle?

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

The supplementary angle is two angles whose sum is 180°.

It is known that the sum of two angles on a straight line is 180°.

The angles 7 and 8 are on a straight line thus 7 + 8 = 180°.

So, they will be supplementary angles.

Angles 7 and 6 are in a straight line.

Thus, 7 + 6 = 180°.

Hence "Supplementary angles are the angle whose sum is 180° thus the angles which are supplementary to angle 7 are 8 and 6".

For more about the angle,

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HELP!!! 50 POINTS!! I WILL REPORT IMPROPER ANSWERS!!!

Answers

Answer & Explanation:

1.) Which function is a linear function?

   The answer is B. [tex]y+7=5x[/tex]

2.) If the function [tex]y=x^a-31[/tex] is a linear function, what is the value of [tex]a[/tex]?

   The answer is A. [tex]1[/tex]

3.) What type of function is the function representing Sully's speed?

   The answer is C. It is a nonlinear function.

hope this helps :)

Answer Key With The Given Explanation:

For question #1: Which Function is a linear equation?

      The correct option answer is B. [tex]y+7=5x.[/tex]

    2. For question #2: If the function [tex]y=x^{a}-31[/tex] is a linear function, what is the value of a?

      The correct option answer is A. 1.

   3. And last but not least is for question #3. What type of the function is the function representing Sully's speed?

      The correct option answer is C. It is a nonlinear function.

I hope my answer key with the given explanation is very helpful to your own question about the multiple choices of the linear functions and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.

9. A contestant on a game show must guess the price of a new car. The contestant will

win if his guess is within $1000 of the price of the car. If the price of the car is

$24,995 and the contestant's guess is represented by g, what absolute value

inequality represents this situation?

Answers

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

4 more than the quotient 12 and a number x

Answers

More than means to add.

Quotient means to divide.

4 + (12/x)

The required expression is 4 + (12/x).

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given statement is,

4 more than the quotient 12 and a number x

Now, converting the statement into numerical form.

Since more than is addition.

Thus, 4 more than = 4 +

and, quotient 12 and a number x = 12/x

Thus, 4 more than the quotient 12 and a number x  = 4 +  12/x

this is the required expression.

Thus, the required expression is 4 + (12/x).

To learn more about numerical expression:

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Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x? A. x ≤ -33 B. x ≥ 33 C. x ≥ 31 D. x ≤ 31

Answers

Answer:

The answer is B.

Step-by-step explanation:

Solve for x.

-5x + 5 [tex]\geq[/tex] 160 - 10x

Add 10x to both sides, and subtract 5 from both sides.

5x [tex]\geq[/tex] 155

Now, divide by 5.

x [tex]\geq[/tex] 31          is the answer

#teamtrees #WAP (Water And Plant)

The inequality represents all the solutions x ≥ 31. Then the correct option is C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given as,

−5x + 5 ≥ 160 − 10x

Simplify the equation, we have

10x – 5x ≥ 160 – 5

         5x ≥ 155

           x ≥ 31

Then the correct option is C.

More about the inequality link is given below.

https://brainly.com/question/19491153

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Mrs. Petruzziello baked pizzas. 2 out of 10 of the pizzas are vegetarian. Her husband says this is 2%. Is he correct? How do you know. Show your answer using a model (tape diagram, double number line, grid).

Answers

He would be incorrect, what he is saying would be 2% and the answer is 20%

10 + 2 - 3 = 3(2 + 2)

Answers

Answer:

My answer is = 9 cannot equal 12. There are no variables present in this equation, so what are you solving for?

Step-by-step explanation:

On the right you would use distributive property and on the left you would just simply add and subtract.

However, you cannot equal it to zero either because there are no variables nor exponents.

Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l

Answers

Answer:

A, D, E, F, J, and L

Explanation :

These units can hold things!

The furniture store bought a table for $200, and sold it for $350. What was the percent increase of the price of the table.

Answers

Answer:

it was

Step-by-step explanation:

150 are dumb..

The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled J?

A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds, and the y-axis is labeled Distance in miles. The line graph is divided into 7 segments labeled I, J, K, L, M, N, and O. I starts at the origin and is a straight line slanting up. J is a line segment that starts at the end of I and is horizontal. K is a curve that starts at the end of J and curves up. L is a straight line that starts at the end of K and is horizontal. M is a straight line that starts at the end of L and slopes down. N is a straight line that starts at the end of M and is horizontal. O is a curve that starts at the end of N and curves down to finally touch the x-axis.

The car continues its journey because the portion shows a linear function.
The car is waiting at the starting point because the portion shows a constant function.
The car is traveling the same distance per unit of time because the portion shows a linear function away from the starting point.
The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Answers

Answer: Your answer my friend is D, The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.

Step-by-step explanation:

The graph you have explained shows that at J it is a linear or horizonltal line. Whisch means the car is stopped for that period but it is not at the very beginning. Yw

Based on the information given regarding the graph, the correct option is D. The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Solving the graph.

From the information given, it was stated that the graph shows a journey in a car and that the x-axis is labeled Time in seconds, and the y-axis is labeled distance in miles.

Therefore, the statement that most likely describes the journey at the portion of the graph labeled J is that the car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Learn more about graphs on:

https://brainly.com/question/26013847

Write an expression to find how many times Jason will blink in 60 minutes if he continues to blink 19 times a minute.

Answers

my brain can’t comprehend this

Does anyone know the answer

Answers

Answer:

i believe it’s c

Step-by-step explanation:

Answer:

[tex]\frac{4.2}{2.8}[/tex]

Step-by-step explanation:

since [tex]\frac{a}{b}[/tex] is proportional to [tex]\frac{2.1}{1.4}[/tex], then look at the answer choices.

I noticed the second option  [tex]\frac{4.2}{2.8}[/tex] is the answer because if you multiply by 2 you get this answer

Need help ASAP

solve the equation:
3(2x+5)= 3

What does x equal

- x=2
- x= -2
- x=6

Answers

the answer of the question is x= -2
Answer:x=-2Step-by-step explanation:3(2x+5)= 3divide both sides by 3=2x+5=1subtract 5 from both sides=2x=-4divide both sides by 2=x=-2

You are going to a bowling alley and have $10 to spend. Renting bowling shoes cost $1.50. Each game cost $2.
A. Write an equation that can be used to find out the number of games you can bowl.
B. Solve it.

Answers

Answer:

6.50

Step-by-step explanation:

10.00[tex]10.00 - 1.50 - 8.50 - 2.00 = 6.50[/tex]

Which of the following is a rational number?
22, 23, 24, 25

Answers

Answer:

24

i think:)

Step-by-step explanation:

please please answer .

Answers

Answer:

1025

Step-by-step explanation:

31 = - (1 +6p ) +4(p + 6 )

Answers

Answer:

p = -4

                                                                                                                 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

p = -4

Step-by-step explanation:

I'm not going to explain each step, just try to follow along.

31 = -(1+6p)+4(p+6)

31 = -1-6p+4p+24

7 = -1-2p

8 = -2p

p = -4

I hope this helps!

Please help me out!​

Answers

Answer:

4/11=.363636....

I hope this is good enough:

Who is correct
Thanks who ever helps me!!!

Answers

Answer:

Benett

Step-by-step explanation:

Answer: Betty

Step-by-step explanation:

Bennet isn't correct because we can plug in 300 for r. It will become 300= 50t, and solving for t, we get that it would take 6 minutes.

Betty is correct because we can change the variables r and t to y and x respectively. In this case, 50 would be the constant of proportionality, or k.

What’s 14/4 as a decimal

Answers

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4! Hope this helped

Answer:

3.5

Step-by-step explanation:

14 divided by 4 equals 3.5

when adding or subtracting outside parentheses or absolute value bars , what is the transformation of the function

Answers

I’m sorry I needed the point but u got this
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