The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit?

3x – 260
3x + 140
5x – 260
5x + 140

Answers

Answer 1
Answer:

For this case we have the following quadratic functions:

Revenue:

Cost:

Then, we observe that the profit is given by the following mathematical relationship:

Substituting values we have:

Making the corresponding calculations we have:

Answer:

An expression that represents the profit is:

Profit = 5x - 260

Answer 2
Answer:

Answer:

5x – 260

i hope this helps you


Related Questions

Perform each of the following conversions, making sure to use the correct abbreviations for units? A) 7.000 cubic centimeters to kiloliters B) 80. cm2 to inches2
I have $4.85 in my pocket what fraction in simplest form represents the amount of money I have in my pocket
Ashley works for 2.8 hours. For each hour that she works, she makes $7.75. How much money does she make in all
The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000. The function P = 10,550(1.1)x models the population x years after the year 2000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050
A greenhouse that specializes in growing vegetables used for Chinese cooking is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.In a section with y sprinklers there are y(4y − 1) napa cabbage plants and (y + 5)2 bok choy plants. Which simplified expression represents the total number of napa cabbage plants and bok choy plants in a section with y sprinklers? (5 points) A.4y4 − 10y2 + 25 B.4y2 + 9y + 25 C.5y2 − 11y + 25 D.5y2 + 9y + 25

A chef cooked seven kilograms of mashed potatoes for a dinnerparty. If the guests only ate three-quarters of the amount he cooked,
how much did they eat?.....................plz hurry up

Answers

Answer:

Hence, the amount of potatoes they ate is:

(21)/(4)kg=5.25kg

Step-by-step explanation:

A chef cooked seven kilograms of mashed potatoes for a dinner

party.

Now it is given that:

If the guests only ate three-quarters of the amount he cooked,

We have to find the amount they ate?

(  Three-quarters is an amount that is three out of four equal parts of something )

i.e. the guest ate:

3/4 of 7 kg of mashed potatoes.

which is given by:

(3)/(4)* 7=(21)/(4)kg=5.25kg

Hence, the amount of potatoes they ate is:

(21)/(4)kg=5.25kg

7* (3)/(4) = (7*3)/(4) = (21)/(4) = (20+1)/(4) = (20)/(4) + (1)/(4) =5+ (1)/(4) =5.25

What is the domain and range of the following relations/functions?

Answers

step by step:

the domain of a function is the values of x it can be

the range is the values of y it can be

domain:

1 \leqslant x < 4

range:

3 \leqslant y < - 3

Thuy drives 270 miles in 6 hours. How many miles does Thuy drive in 13 hours? 455 miles 585 miles 624 miles 715 miles

Answers

One way you can solve this is with proportions/ratios with multiplication
(270miles)/(6hours) = (X miles)/(13hours)

Cross Multiply
(270 miles)(13 hours)=(X miles)(6 hours)
3510=6X
(3510)/(6) = (6X)/(6)
585 miles=X

The answer is 585 miles
he drives 270 miles in 6 hours and 6x2= 12 so we are going to divide 270 in 6.
270%6= 45.
Now we multiply: 270x2=540
and we add 45 that equals an hour of driving.
540+45= 585
Now we got 13 hours of driving
Thuy drives 585 miles in 13 hours.

What is the mean of -0.05, 0.09, -0.04,-0.08

Answers

Answer:

-0.02

Step-by-step explanation:

To find the mean (average) of a set of numbers, you add up all the numbers and then divide by the total count of numbers. In this case, you have four numbers: -0.05, 0.09, -0.04, and -0.08.

Mean = (Sum of the numbers) / (Total count of numbers)

Mean = (-0.05 + 0.09 - 0.04 - 0.08) / 4

Now, calculate the sum of these numbers:

Mean = (-0.05 + 0.09 - 0.04 - 0.08) = -0.08

Now, divide the sum by the total count of numbers, which is 4:

Mean = -0.08 / 4 = -0.02

So, the mean of the numbers -0.05, 0.09, -0.04, and -0.08 is -0.02.

you own a house cleaning business. it takes you 2 hours and 45 minutes to clean a house. you have 3 houses to clean tomorrow. how long would it take you to clean all three houses

Answers

495 minutes. Well you will have to work put how many hours that makesim sorry

What are the values of x in the equation x(x-6)=4(x+6)

Answers

x(x-6)=4(x+6)

Multiply out:

x² - 6x = 4x + 24

x² - 6x - 4x - 24 = 0

 
x² - 10x - 24 = 0

This is a quadratic equation


x² - 10x - 24 = 0      Divide through by 2

Multiply first and last coefficients:  1*-24 = -24

We look for two numbers that multiply to give -24, and add to give -10

Those two numbers are -12 and 2.

Check:   -12*2 = -24         2 + -12 = -10

We replace the middle term of -10x in the quadratic expression with 2x -12x


 x² - 10x - 24 = 0     

x² + 2x - 12x - 24 = 0     

x(x + 2) - 12(x + 2) = 0

(x + 2)(x - 12) = 0

x + 2 = 0    or   x - 12 = 0

x = 0 -2              x = 0 + 12

x = -2                    x = 12

The solutions are x = -2  or  12
x la patrat - 6x = 4x+24<=>x la a doua -10x-24=0
D= 100-4×1(-24)
D=100+96
D=196
X1,2= 10 plus minus 14 : 2 <=>X1=10-14:2=-2 and X2= 10+14:2= 2