1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balandron [24]
3 years ago
12

The number of teams who entered in a 3-on-3 charity basketball tournament can be modeled by function T, where x is the number of

years since the tournament first started.
T(x)=4x+24

The entry fee paid by each team to enter the tournament can be modeled by function F, where x is the number of years since the tournament first started.

F(x)=5x+45

Which function, R, best represents the total entry fees collected in the xth year since the tournament first started?

A. r(x)=20x^2+300x+1,080

B. r(x)=9x+69

C. r(x)=9x^2+29x+69

D. r(x)=20x^2+1,080
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

<u>Option A:</u>

R(x)=20x^2+300x+1080

Explanation:

The revenue, R(x) is the product of the number of teams who entered the tournament, T(x), times the entry fee paid by each team, F(x); then you can write:

  • R(x)=T(x)\times F(x)

Thus you must multiply the two functions (polynomials):

  • R(x)=(4x+24)\times (5x+45)

Use distributive property:

R(x)=(4x+24)\times (5x+45)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)

Simplify:

R(x)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)=20x^2+180x+120x+1080

Add like terms:

R(x)=20x^2+180x+120x+1080=20x^2+300x+1080

You might be interested in
Any help will be great!
son4ous [18]

Answer:

180

Step-by-step explanation:

75% times 240 would be 180

6 0
3 years ago
Read 2 more answers
If Jasper installs a floor himself, it will take him 7 hours. Working with Yolanda, it will take them 3 hours.
Svetllana [295]

Answer: 5\frac{1}{4} hrs

<u>Explanation:</u>

Jasper: \frac{1}{7} per hr

Yolanda: \frac{1}{x} per hr

Together: \frac{1}{3} per hr

Jasper + Yolanda = Together

\frac{1}{7} + \frac{1}{x} = \frac{1}{3}

(21x)\frac{1}{7} + (21x)\frac{1}{x} = (21x)\frac{1}{3}

3x + 21 = 7x

        21 = 4x

        \frac{21}{4} = x

         5\frac{1}{4}

                                                                                               

7 0
3 years ago
Read 2 more answers
alvin ran a 5-kilometer race.when he was halfway to the finish line, how many meters did he have left to run?
MrRissso [65]

Answer:

2.5km

step-by-step explanation:

half of 5

4 0
2 years ago
Item 5
Nonamiya [84]

Answer:6,000

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Determine the relationship between the two triangles and whether or not they
Ira Lisetskai [31]

Answer: These ARE congruent to each other.

Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.

7 0
2 years ago
Other questions:
  • Which ones go with those.
    14·1 answer
  • Find the percent of each number 30% of 35
    8·1 answer
  • Solve for |4x+3| &lt; 9
    5·1 answer
  • What is the range of this function? 3 0 5 7 4 11 6 A. {-3,4,5,7} B. {-3,0,4,6} C. {-3,0,3,4,5,6,7,11} D. {3,5,7, 11}​
    7·2 answers
  • What is the mean of the set of numbers, {–11, 22, –2, –3}? A. –6.5 B. –1.5 C. 1.5 D. 6.5
    8·2 answers
  • Use the net as an aid to compute the surface area of the triangular prism.
    14·1 answer
  • Select the number that would make this statement true: 344 ÷ ________ = 34.4
    8·1 answer
  • Using the rate of Rs 105 per US Dollar, calculate<br>the US Dollars for Rs 21000.​
    6·2 answers
  • PLZ I NEED HELP <br> i really need help on this or i will fail!!!
    15·2 answers
  • Help!! i really need answered quick
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!