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Andrews [41]
3 years ago
14

Systems of equations with different slopes and different y-intercepts have one solution.

Mathematics
1 answer:
eduard3 years ago
4 0
A. Always because imagine a line where one is y=x and the other is y=-x+1. The point of intersection would be (1,1)

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Answer:

Tony make 4 half-court shots and misses 16 half-court shots.

Step-by-step explanation:

Given:

Points earned for every successful, half-court shots = 20

Points deducted for missing the shots = 5 or -5

Total number of shots in the game = 20

Final points earned by Tony = 0

According to the question:

Let the number of successful half-court shot be x

And the number of shots missed be 20-x

So,

In terms of points we can re-write it as:

⇒ 20(x)-5(20-x) =0

⇒ 20x-100+5x=0

⇒ 25x-100=0

⇒ 25x-100+100=100

⇒ 25x=100

⇒ \frac{25x}{25} =\frac{100}{25}

⇒ x=\frac{100}{25}

⇒ x=4

Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16

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