A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph.

Which equation most closely represents the line depicted in the graph?

A. f(x) = −10x + 4
B. f(x) = 15/2x - 20
C. f(x) = 10x − 4
D. f(x) = 2/15x - 20

A Computer Manufacturer Built A New Facility For Assembling Computers. There Were Construction And New

Answers

Answer 1

Answer:

B. f(x) = 15/2x - 20

Step-by-step explanation:

Hi there!

All of the given functions are organized in slope-intercept form:

[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept. The y-intercept is also the value of y where the line crosses the y-axis.

Notice how in the graph, the line crosses the y-axis at y = -20. This means that the y-intercept (b) is -20.

[tex]y=mx-20[/tex]

We know now that the answer is either B or D.

In the graph, the line crosses the point (4,10). Let's find f(4) of both the functions given in B and D and see which answer is equal to 10.

Function B:

[tex]f(x) = \displaystyle\frac{15}{2}x - 20\\\\f(4) = \displaystyle\frac{15}{2}(4) - 20\\\\f(4) = 30 - 20\\\\f(4) = 10[/tex]

Therefore, because f(4) is equal to 10 for function B, B is therefore the correct answer.

I hope this helps!


Related Questions

divide 20000 in the ratio in the 5:4:1​

Answers

Answer:

5+4+1=10

20000/10=2000

5x2000:4x2000:1x2000

10000:8000:2000

Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation

Answers

81.

18 x 81 is $1,458 and if you add the $180 it costs to rent the place it totals to $1,638

Help me with this pleaseeeeeeee

Answers

Answer:22 hopes this helps

Step-by-step explanation:

so here the problem look at the numbers -8 and 14

8 is no long a a negative it’s positive

So now you got 8 + 14 = 22

Answer:

22 blocks

Step-by-step explanation:

just simply add 8 and 14 to get your answer :)

The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
Find
(I) BAD
(ii) BCE​

Answers

Answer:

(i) 88°

(ii) 23°

Step-by-step explanation:

See the picture below.

The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.

ABCD is a rhombus, so all sides are congruent.

Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.

At what point on the curve y = 9 + 2ex − 5x is the tangent line parallel to the line 5x − y = 8?

(x, y) = ?

Answers

Answer:

[tex](\ln(5), 19-5\ln(5))[/tex]

Step-by-step explanation:

The line can be represented as y=5x-8, so the slope of the line is 5.

The derivative of the curve is:

[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]

We need to set that equal to 5 to find the x coordinate of our desired point

[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]

Now, just plug in x in the curve to solve for y:

[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]

Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.

To solve this equation

dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.

When we set the slope of the tangent line to 5, we obtain:

2ex − 5 = 5

2ex = 10

e^x = 5

Taking the natural logarithm of both sides, we get:

ln(e^x) = ln(5)

x = ln(5)

Therefore, ln(5) is the x-coordinate of the crossing point.

We can enter this value of x into the original function to determine the y-coordinate:

y = 9 + 2e^(ln(5)) − 5(ln(5))

y = 9 + 10 − 5ln(5)

y = 15 − 5ln(5)

As a result, the intersection is at (ln(5), 15 5ln(5)).

To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.

Learn more about tangent line here

https://brainly.com/question/33610482

#SPJ3

A pumpkin pie recipe calls for 30 ounces of pumpkin, 6 eggs, and 2.5 cups of brown sugar to make two pies. How much of each ingredient is required to make five pies?

Answers

Answer:

75 onces 15 eggs and I dont know for the brown sugar

Step-by-step explanation:

Solve for p: p/10 = 7.2/36

Answers

P=20 this is because you have to get 2 on each side 7.2/3.6 =2 so 20/10=2 2=2

4(n+6)+3n is greater than or equal to 3n-4

Answers

Answer:

7n+24 is greater than that 3n-4

Step-by-step explanation:

First Distributive Property

4(n+6)+3n

Combine like terms

4n +24+3n

7n+ 24

Explanation

7n+24 is greater than that 3n-4

I need a SIMPLE definition of the addition property of equality, subtraction property of equality, multiplication property of equality, and division property of equality.​

Answers

Addition property of equality: tells us that if we add the same quantity to both sides of an equation, then our equation remains the same.
Subtraction property of equality: tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

arrange 5/4 1/2 5/6 in ascending order​

Answers

Answer:

Order is    1/2  < 5/6 < 5/4

Step-by-step explanation:

  1/2  = 0.5

  5/6 = 0.83

  5/4 = 1.25

      0.5 < 0.83 < 1.25

Just convert 'em to decimals....

½ = 0.5

⅚ = 0.83

5/4 = 1.25

# 1/2 < 5/6 < 5/4

What is the Absolute Value of -15 and 16?

Answers

Answer:

AV of -15 is 15.

AV of 16 is 16.

Step-by-step explanation:

It turns the number positive.

which expression is equivalent to 7(6m - 7) + 9?
- 42 + 2
- -7(6m + 7) + 9
- 7 (-7 + 6m) + 9
- -40m + 42​

Answers

Answer:

[tex]7( - 7 + 6m) + 9[/tex]

PLEASE HELP ASAP!!!!!! no links please

Answers

9 3/4 acres in 3 3/8 days = 9 6/8 acres in 3 3/8 days

(72 + 6)/8 = 78/8

(24 + 3)/8 = 27/8

78/8 divided by 27/8 = 78/27 = 26/9 or 2 8/9 acres/day

please help I will give brainlyest​

Answers

Answer:

See below.

Step-by-step explanation:

The answer is D. M and O are congruent, but that is not an option, so the focus goes towards M and N. M and N are similar, but are not congruent.

-hope it helps

Answer:

M and N are similar but not congruent.

Step-by-step explanation:

   

Paid for $22 for for movie tickets how many would they have pay for for 16 tickets

Answers

Answer:

$352

Step-by-step explanation:

One ticket costs $22, so 16 tickets would be 22 times 16.

Final Answer: $352

i need help with this match

Answers

Answer:

1 d

2 b

3 g

4 a

5 e

6 f

7 c

8 h

Please mark as Brainliest

This is very urgent please help!

Answers

1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9

I need help on this no rush either take as much time as you need and I asked my sister this but she said just ask on brainly

Answers

Answer:

45

Step-by-step explanation:

The equation for area of a triangle is:

[tex]A=\frac{1}{2}*b*h[/tex]

Using the figure, we can determine the base is 15 since it is perpendicular to the height.

We can plug 6 (height) and 15 (base) into the equation to solve for the area...

[tex]A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45[/tex]

I NEED HELP ASAP!!!!

Answers

Answer:

B) 8

Step-by-step explanation:

Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.

If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.

represent -6 on number line​

Answers

Answer:

-6 = negative 6

negative is on the left side of the number lines

6 left from the middle

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

What does the random variable for a binomial experiment of n trials measure?.

Answers

Answer:

What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.

Step-by-step explanation:

Write an equation of a line that is perpendicular to the line whose equation is
2y = 3x – 10 and passes through (–6, 1).

Answers

Answer:

point-slope form: [tex]y-1=\frac{-2}{3}(x+6)[/tex]

y-intercept form: [tex]y=\frac{-2}{3}x-3[/tex]

Step-by-step explanation:

hope this helps :)

systems of equations by elimination
8x+14y=4
-6x-7y=-10

Answers

Answer:

x = 6/5

y = 2/5

Step-by-step explanation:

this is the answer i got please mark brainliest i really need it cuz i need 2 more

(a) A retailer bought a compact disc form a manufacturer for $20. In addition to that he paid a 15% value-added tax. If he sold the disc to a custmer for $26, calculate the cash profit he made. (use this question for question below)

(b) The manufacturer later increased the price of the compact disc by 20%. At the same time, the value- added tax was increased to 25%.
( use for below question answer: $30) ^^^^

(i) If the retailer made the same cash profit as before,calculate the price a customer had to pay for a disc.

Answers

Answer:

$23

Step by step explanation

Problem shown on the picture

Answers

Step-by-step explanation:

please answer those Questions Mathematics

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn

Answers

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

-----

since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

-----

both get the same answer.

-----

-----

substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

-----

if H = 3, then P = 6 because P = H + 3.

-----

6*28 + 3*15 = 213 so your answer is

Plumber works 6 hoursHelper works 3 hours.

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

---------

now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

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

The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.

Answer:

mark other guy brainly, his answer is right, and he truly deserves it, he got expert verified

Step-by-step explanation:

seriously i have no idea

Answers

Answer:

A. <LKM = <LJN

Step-by-step explanation:

A. <JKM = <LJN is not congruent = will NOT prove

B. KM/JN = KL/ML is a valid proportion = will prove

C. JN || KM is congruent = will prove

D. KL/JL = ML/NL is a valid proportion = will prove

Eddie had 30 dollars to spend on 3 gifts. He spent 11
7
10
dollars on gift A and 5
2
5
dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

12.9 or 12 9/10

how to do this equation y=2x-10 and 2y=x-8

Answers

Answer:

y=2x-10

2y=x-8

since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one

4x-20=x-8

-x

3x-20=-8

+20

3x=12

x=4

then lets just plug it in

2y=4-8

simplefy

2y=-4

y=-2

(4,-2)

Hope This Helps!!!

Amanda is buying her first car for $10,000. She is going to take out a loan from the bank that has an interest rate of 3.4% on the total cost. She will also need to pay tax on the car. How much will she owe in total?

Answers

Ben wants to buy a used car. He has $3000 but wants $3500 to spend. He invests his $3000 into an account earning
Other Questions
A car travels 625km using 25L of fuel (km/L) Question 1 of 10Nucleic acids and carbohydrates are both types of what?A. ProteinsB. MacromoleculesC. AtomsD. ElementsSUBMIT A. Each step in this pattern decreases by 1 block. B. Each step in this pattern increases by 1 block. C. Each step in this pattern doubles the number of blocks. D. Each step in this pattern triples the number of blocks. hurry pls and tyy!!!!!! which math expression means 52 more than an unknown number Help plz due in 10min Which of the following describes how Martin Schongauer achieved darker lines in metal engravings? a. He applied more ink to the engravings. B. He engraved deeper lines into the metal. C. He used different engraving tools for darker lines. Please select the best answer from the choices provided A B C. Timothy has a drawing of the family room of a house that he is building. The drawing shows the family room to be a rectangle 4 cm wide by 6 cm long. The length of the actual family room is 9 m. What is the actual area of the family room? Jojo likes to paint. She estimates the number of paintings she completes using the function P of w equals two thirds times w minus two, where w is the number of weeks she spends painting. The function J(y) represents how many weeks per year she spends painting. Which composite function would represent how many paintings Jojo completes in a year? P of J of y equals J times the quantity two thirds times w minus two P of J of y equals two thirds times J of y minus two J of P of w equals two thirds times J of y minus two J of P of w equals J times the quantity two thirds times w minus two. Which contributed most tot he greatness of Carthage A its climate b its geographic location C its natural sources D its rulers What is ironic about calling Lilliputs major city a metropolis? name two ways in which some cultural views that exist may affect a relationship negatively The predicted high temperature for the day in Bismarck, North Dakota is 30 and the low is 7 below zero. What is the diffrence in the temperatures for the day? Strawberry jelly is a very strong solution of sugar. By contrast the cytoplasm in bacteria is a much weaker solution. The cell wall of bacteria is made up of a PARTIALLY permeable membrane. Would water flow from the microbe to the jam, or from the jam to the microbe by osmosis? Explain Solve for f.4 = fover3 Escribe los sufijos para las siguientes palabras1. pan-2. cantar-3. jardin-4. ratn-5. llave- growing from 1.4m to 1.6m in one year whats the rate to change which set of ordered pairs represents a function? {100 POINTS} HURRY PLS What rock makes up most of the earths continents what is 5x-10 in algebra?