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oksian1 [2.3K]
2 years ago
5

You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you t

hrow the frisbee. If the path of the
frisbee is y = -x² + 7x + 3 and the path of the dog is modeled by
y = 2x + 7, will the dog catch the frisbee? If so, what are the coordinates of the point or points

where they meet?

O Yes, they intersect at the coordinates (-1,-3) and (4, 15)

O Yes, they intersect at the coordinates (1,9) and (4, 15)

O Yes, they intersect at the coordinates (2, 13) and (3, 13)

O No, the paths do not cross
Mathematics
1 answer:
sergey [27]2 years ago
3 0

The paths will cross when the coordinates are (1,9) and (4, 15).

<h3>What is a model?</h3>

A model is a representation of reality. Now we have that the path of the frisbee is y = -x² + 7x + 3 while the path of the dog is  y = 2x + 7.

The both paths will cross when;

-x² + 7x + 3 = 2x + 7

-x² + 5x - 4 =0

x=1 or x=4

If x = 1, y = 2(1) + 7 = 9

If x = 4, y = 2(4) + 7 = 15

Thus the paths will cross when the coordinates are (1,9) and (4, 15).

Learn more about a model:brainly.com/question/14281845

#SPJ1

You might be interested in
How to find two consecutive numbers whose squares differ by 15?
LUCKY_DIMON [66]
Let x is the first no. then the other no. will obviously be (x+1)

according to question,
(x+1)²- x²= 15
x² +2x+1 - x² = 15 ( using (a+b)²= a²+ b² + 2ab )
2x + 1 = 15
2x = 14
x = 7

hence numbers are x = 7 and x +1 = 7+1 = 8
also 8²-7² = 64-49 = 15

hence the numbers are 7 and 8

hope it helped
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3 years ago
Need help this is my last chance
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3 0
3 years ago
Read 2 more answers
paul borrows 1310 at 2% simple intrest per month. when paul pays the loan back 5 years later, what is the total amount that paul
soldier1979 [14.2K]

Answer: The total amount that Paul will end up paying is $1441

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = 1310

R = 2%

T = 5 years

I = (1310 × 2 × 5)/100 = $131

The total amount that Paul will end up paying is

1310 + 131 = $1441

4 0
3 years ago
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
Inga [223]

26.8 units

What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?


13.4 units

17.9 units

26.8 units

40.0 units
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Geometry question 4, Thanks if you answer or help!
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I think it is A)53 because the are the same size
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