The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x^2 – 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:

Answer:

The expression which represents profit is:

                             5x-260

Step-by-step explanation:

The number of toy cars sold is represented by: x.

Now, the revenue, in dollars of a company is given by the polynomial function:

R(x)=3x^2+4x-60

and the cost, in dollars of producing the toy car is given by the polynomial expression:

C(x)=3x^2-x=200

Also, let P(x) denote the profit function.

It is given that:

Profit is the difference between the revenue and the cost.

i.e.

Profit=R(x)-C(x)\n\ni.e.\n\nP(x)=R(x)-C(x)\n\ni.e.\n\nP(x)=3x^2+4x-60-(3x^2-x+200)

( Now we know that if the sign before the parentheses is negative then the terms inside the parentheses open up with opposite signs)

i.e.

P(x)=3x^2+4x-60-3x^2+x-200\n\ni.e.\n\nP(x)=3x^2-3x^2+4x+x-6-200

( Since, on combining the like terms)

i.e.

P(x)=5x-260

Answer 2
Answer: Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C

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Determine which ordered pair is a solution of y = –5x + 10. a. (–15, 5)b. (2, 0) c. (–1, –5) d. (3, 25)

Need a quick answer for this homework

Answers

Answer:

clothes are expensive

Step-by-step explanation:

the hypothesis is at the beginning of the sentence followed by the conclusion

What does 6/7 x 1/3 equal

Answers

Answer:

2/7

Step-by-step explanation:

6/7×1/3=6×1/7×3

6/21=2/7

If y = 3x + 4 were changed to y = 5x + 4, how would the graph of the new function compare with the first one?

Answers

Step-by-step explanation:

Since we have given that

y=3x+4 were changed to y=5x+4

As we know the standard form is :

y=mx+c

In the first one, the slope is 3 i.e. (m = 3)  while in the second one, the slope is 5 i.e. (m = 5)

By using of slope , we can compare the new graph with the first one.

First of all, it would be steeper.

The first square number is 1, and the sum of the first 20 square numbers is 2870. Work out the sum of the first 21 square numbers.

Answers

If the sum of the first 20 square numbers is 2870  then sum of the first 21 square numbers is 3311.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first square number is 1, and the sum of the first 20 square numbers is 2870.

We need to find the  sum of the first 21 square numbers.

for first 20 numbers  the answer is

n(n+1)(2n+1)/6

20*21*41/6 = 2870

Now we have to find the sum of first 21 square numbers.

21²=441

Now add it with 2870

2870+441=3311

Hence,  the sum of the first 21 square numbers is 3311.

To learn more on Sequence click:

brainly.com/question/21961097

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The 21st square number is 21^2 = 441
2870 + 441 = 3311

Express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c

Answers

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

Evaluate 5y1-y0 if y=-8

Answers

Answer:

-40

Step-by-step explanation:

5*(-8)*1-(-8*0)

-40+0

-40