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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

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Answer:

$495

Step-by-step explanation:

Take baseline amount of 75 dollars and divide it by 4. This will get you to the answer 11.25. Use 11.25 and multiply it by what she received in rewards. 11.25 times 44 equals....495!

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A parallelogram has sides of length 19 mm, 19 mm, and 7 mm. What is the length of the fourth side of the parallelogram? Enter yo
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The exponent would be 3.
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Two vertices of a right triangle have coordinates (20, 15) and (20, 27) . The segment that connects these points is a leg of the
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Answer:

A. (7, 27)

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Hope this helped!

5 0
3 years ago
ten granola bars and 12 bottles of water cost $23. 5 granola bars and four bottles of water cost $10. how much do one granola ba
pishuonlain [190]

Answer:

2.15

Step-by-step explanation:

Let g= cost of granola bars

b = cost of bottles of water


10g+12b =23

5g +4b = 10

I will solve this system by elimination

Multiply the second equation by -2


-2(5g +4b) = -2*10

-10g -8b = -20

Now we add this equation to the first equation to eliminate  g

-10g -8b = -20

10g+12b =23

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

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b = 3/4

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Now we need to find g

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Subtract 3 from each side

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Divide by 5

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We want the cost of one bottle of water and 1 granola bar

1g + 1b

1.4+.75

2.15

4 0
3 years ago
Read 2 more answers
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