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
Wewaii [24]
2 years ago
12

The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be

modeled by the function y = 14t2. A second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 130 feet per second and can be modeled by the function y = 130t + 1200. Solve the system of equations. Which solution represents a viable time that the trains are side by side?
A. 14 sec
B. 15 sec
C. 16 sec
D. 17 sec
Mathematics
1 answer:
salantis [7]2 years ago
5 0

Solving the system of equations, it is found that a viable time that the trains are side by side is given by:

B. 15 sec

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

y = 14t^2

y = 130t + 1200

They will be side by side when:

14t^2 = 130t + 1200

14t^2 - 130t - 1200 = 0

It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:

\Delta = (-130)^2 - 4(14)(-1200) = 84100

x_1 = \frac{130 + \sqrt{84100}}{28} = 15

x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71

Time is a non-negative measure, hence option B is correct.

More can be learned about a system of equations at brainly.com/question/24342899

You might be interested in
Jennifer wants to convert 7.85 meters to centimeters but she does not have paper pencil or calculator describe a method she can
lilavasa [31]
She can move the decemal place 2 places to the right because a centimeter is 100 times smaller than a meter. so it would be 785 centimeters

<span />
8 0
3 years ago
Read 2 more answers
In a camp ,140 students from school A,70 students from school B, 105 students from school C, and 35 students from school D, part
Schach [20]
Total no. of students - 140 students
Total no. of students from all schools= 140+70+35+105=350
school A= 140÷350×100=40./. (multiplying by 100 because it's the total percentage )
School B = 70÷350×100=20./.
School C = 105÷350×100=30./.
School D = 105÷350×100= 10./.
Consisting all the schools percentage it gives 100./.

Hope this helps
7 0
3 years ago
HELPP
tigry1 [53]

Answer: C peridotite

Step-by-step explanation:

idk lol i just got it right on the quiz

4 0
3 years ago
A bicycling club has 31 members, of which 11 are males and the rest are females. What is the ratio of female to all club members
Oxana [17]

Answer:

jj

Step-by-step explanation:

3 0
3 years ago
I need help with this problem :/
Mademuasel [1]
I cant see the pic ;;;
8 0
3 years ago
Other questions:
  • A cell phone company charges $40 per month for unlimited calling, and $0.20 per text message sent. If t represents the number of
    8·2 answers
  • You are scheduled to receive $38,000 in two years. when you receive it, you will invest it for 10 more years at 6.0 percent per
    8·1 answer
  • Rick, John, and Kevin are playing catch. Rick throws the ball to John, John throws the ball to Kevin, and Kevin throws the ball
    6·1 answer
  • Join our among us. <br><br> code;<br> S CQUEFF
    5·1 answer
  • Jordan is 27 miles short of his biking goal. Hayden went 27 miles over his goal. Which of the following statement is true?​
    13·1 answer
  • There was a Rockets game on Friday and Saturday.
    5·2 answers
  • there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary​
    7·1 answer
  • In Japan. traditionally it was believed that if you folded 1,000 origami cranes, your wish would come true. For a party, Emika i
    8·1 answer
  • The credit card industry works similar to the cigarette industry. what reasons caused culture to change its view of cigarettes o
    7·1 answer
  • Can somebody answer and explain?<br> ( brainliest )
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!