To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.

a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950

Answers

Answer 1

Answer:

[tex]y = 25x +1950[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (30,2700)[/tex]

[tex](x_2,y_2) = (50,3200)[/tex]

Required

Determine the linear function

We start by calculating the slope (m)

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

So, we have:

[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]

[tex]m = \frac{500}{20}[/tex]

[tex]m = 25[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 2700 = 25(x - 30)[/tex]

[tex]y - 2700 = 25x - 750[/tex]

Make y the subject

[tex]y = 25x - 750 + 2700[/tex]

[tex]y = 25x +1950[/tex]


Related Questions

5y - 4x = -7
2y + 4x = 14
Solve the system of equation

Answers

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

WILL MARK YOU BRAINLIEST.

Reflect (-8, 7) across the y-axis.
Then reflect the result across the X-axis.
What are the coordinates of the final point?

Answers

The coordinates of the final point are going to be (8, -7)

Answer:

pooooooooooooopy

Step-by-step explanation:

THIS IS MY 6TH TIME POSTING THIS HELP

A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?

Answers

Answer:

14 yards

Step-by-step explanation:

length of basketball court=

7 inches

(times by 2.8) 2.5 inches-5 yards( times by 2.8)

7 inches=14

i hope i helped:)

John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

I estimated that the repairs to my car would cost $80. In fact, they cost $120. What was the percentage error?

Answers

Answer:

69%

Step-by-step explanation:

Im just doing this to get my points up. dont get mad

need help asap please!!

Answers

Answer:

[tex]\displaystyle 23[/tex]

Step-by-step explanation:

[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]

I am joyous to assist you at any time.

If point C is the circumcenter, find each missing value(picture attached)

Answers

Answer:

yc is 12

ct is 7

yz is 24

for rz im not sure im so sorry :(

Which statement describes why AABC and ADEF are congruent by SAS?

Answers

Answer:It is The first one.

Step-by-step explanation:

Find the unit price of a 4-pack of mixed fruit sells for $3.75

Answers

15 $ is the answer
3.75 x
4. = 15$
The sodas would be about 94 cents each

Find the sum of the expressions .
8+x-13+n(3-x) =

Answers

Answer: =−nx+3n+x−5

Step-by-step explanation:

Can i Have some help ​

Answers

Answer:

a= .293

b= .924

c= 9.455

d= 1.975

The answer is B luv !

The answer is B and D

solve the question, please 2.0

Answers

Answer:

43.88

Step-by-step explanation:

Using the sine rule

4) What type of sequence is shown: 1, 2, 4, 7, 10,...

Answers

Answer:

Stohr sequence

Step-by-step explanation:

Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence

In the 1900s, the life expectancy of a human in the United States was 50 years. The life expectancy of a human now is 78 years. What is the percentage change in the life expectancy of a human in the United States?

Answers

Answer:

There would be a 56% increase

Step-by-step explanation:

We need to find the amount of change before we can find the percent of change. We'll take the greater value, 78, and subtract the lesser value, 50. 78 - 50 = 28. We then take this amount of change and put it over the original amount, Percent of change = Amount of change/ original amount or for this problem, 28/50. We then use that as a division equation for 28 divided by 50. 28 divided by 50 = 0.56. Finally we move the decimal to the right two times and we can then find the percentage increase.

Which of the following is in reduced form?

Answers

A. -14x^2/15y^3
Rest all are not reduced in terms of signs and factors.

BRAINLIEST
please leave a small explanation:)

Answers

Answer:

I say D cuz if u look at it, it's a pretty wide enough angle to be at least 47°

Answer:

your answer is c

Step-by-step explanation:

for it to be 137 degrees, the line would have to change direction to get to that angle, and same with the others, and with 43 degrees, it already gives you the measurement of  N F so you can just take that same angle and put it there as your answer.

HTH!!

What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.(4,8)
(2, 2)

Answers

Answer:

-2

Step-by-step explanation:

m=y2-y1/x2-x1

y2=2 y1=8

x2=2 x1=4

=2-8/4-2

=-4/2

=-2

Leo has 3 8/9 ounces of sunblock. He uses one-fifth of an ounce at the beach. How much does he have left?

Answers

Step-by-step explanation:

7/9pls mark as brainliest

Answer:

Step-by-step explanation:

It's 3 31/45

Use the drop-down menus to complete the sentence:

The terminal ray of a 300° angle lies in the ______ quadrant.

This angle measures (________) Pi radians.

Answers

Answer:

fourth

5/3

Step-by-step explanation:

edge2021

Answer:

Fourth

5/3

Step-by-step explanation:

Write the equation in point-slope form for the line that contains points (4,1) and (6, 8).
y - 1 = 7/2 (x - 4)
y - 8 = 7/2 (x - 6)
y - 8 = 2/7 (x - 6)
y - 4 = 7/2 (x - 1)
y - 1 = 2/7 (x - 4)

Answers

Answer:

y -1 =2/7 (x - 4)

please mark as brainliest

HELLP MEEEE PLEAAASSSEE

Answers

THE FUGURE IS 140 DEGREES JUST REEVALUATE THE ANGLES
okay fine no problem

3 pens cost $2.70.

What is the cost per pen?

Answers

Answer:

$0.90

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

Assuming there are no taxes or additional costs, one simply has to divide the total cost by the amount purchased to find the unit price, hence;

2.7 / 3

= 0.9

Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?​

Answers

Answer:

8/15 of Jayda's vegetable garden are beefsteak tomatoes.

Step-by-step explanation:

Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:

The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.

Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.

4 + 2x = 20 so what does x =

Answers

4 + 2x = 20
2x = 16
x = 8

Calculate the hypotenuse. Find the missing side of each triangle, leave your answers in simplest radical form.

Answers

Answer:

easy

Step-by-step explanation:

just mutiply both numbers of the the side by themselves or square them, then add them together and find the square root. sorry that i can't do them individual but this is a simple explaination

Yea what he said |^ .....


1) Which of these are equivalent to - ? Choose ALL that apply.

PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*

Answers

the last 3 should be the right ones, hope thats correct
The fist one is right hope I helped you

Is (2, 7) a solution to this system of equations?
x + y = 9
3x + 13y - 9

Answers

Answer:

No

Step-by-step explanation:

Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.

is 4 1/2 equivalent to 4.5/100

Answers

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

I will give brainiest to whoever answers correctly !!

Answers

Answer: approx. 4077.7

Step-by-step explanation:

Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)

Find an equation of the perpendicular bisector of the line segment whose endpoints are given.
(0,1) and (-10,5)
The equation is
andard form)

Answers

Answer:

The equation of the perpendicular bisector line

5 x - 2 y + 31 =0

Step-by-step explanation:

Explanation:-

Given points are ( 0,1) and (-10,5)

The Midpoint of given two points

             [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

             (-5 , 3)

The Slope of the line

 m =        [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-1}{-10} = \frac{-2}{5}[/tex]

The perpendicular slope

    =   [tex]\frac{-1}{m} = \frac{-1}{\frac{-2}{5} } = \frac{5}{2}[/tex]

The equation of the perpendicular bisector line

 [tex]y - y_{1} = m (x - x_{1} )[/tex]

 [tex]y - 3 = \frac{5}{2} ( x-(-5))[/tex]

  2 y - 6 = 5( x +5)

    5 x + 25 -2y +6 =0

   5 x - 2 y + 31 =0

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