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bogdanovich [222]
3 years ago
5

Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

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Jack and Jill live 345 miles apart from one another. They want to meet for lunch and agree to leave the
Novosadov [1.4K]

It will take them 3 hours to meet

Step-by-step explanation:

The given is:

  • Jack and Jill live 345 miles apart from one another
  • They want to meet for lunch and agree to leave the  same time, drive toward each other, and meet somewhere along the route
  • Jack's average rates 60 mph
  • Jill's average rate is 55 mph

We need to find how long it will take them to meet

Distance = Speed × Time

∵ They will drive toward each other at the same time and meet

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- That means they will drive for the same time

∵ Jack's average rates 60 mph for t hours

∴ Jack will drive a distance = 60 × t = 60 t  miles

∵ Jill's average rate is 55 mph for t hours

∴ Jill will drive a distance = 55 × t = 55 t  miles

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- Add their distance above and equate the sum by 345

∴ 60 t + 55 t = 345

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- Divide both sides by 115

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It will take them 3 hours to meet

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

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