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Step-by-step explanation:
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Answer:
3,-4
Step-by-step explanation:
Both the equation show a graph of a parabola. The equation y=-x^2+1 is a parabola opening downward since the x variable has a negative sign. While the equation y=x^2 is also a parabola opening upward since x^2 is positive. Both parabola have axis of symmetry on the y-axis. Vertex for the first parabola is on (0,1) while the second parabola is at the origin.
Relax. Take deep breaths. Feel the fresh air flowing down to your toes.
It's only some lame math. It can't scare you, because you have a brain
and you know how to use it.
You need to find the Patriots' score. You don't know what it is yet, so
let's give it a label. I've got a brilliant idea ! Let's call it 'P' !
What do we know ?
We know that the Patriots won the game, so we know that the Giants'
score was less than 'P'.
How much less was it ? The question tells us that the difference in
their scores was 20. So the Giants scored P-20 in the game.
What else do we know ? The question tells us the sum of the scores.
OK. Let's addum up:
Patriots' score: P
Giants' score: P - 20
Sum of the scores: P + (P - 20) = 2P - 20
The question tells us that their sum was 44.
OK. 2P - 20 = 44
That's an equation. Solve it for 'P' and you'll have the answer.
Add 20 to each side: 2P = 64
Divide each side by 2: P = 32
There you are. The Patriots scored 32.
The Giants scored 20 less ... (32 - 20) = 12.
The sum of their scores was (32 + 12) = 44.
Everything checks out.
