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Gala2k [10]
3 years ago
11

Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
y=-x^2+2x+4 
x+y=4
y=4-x
4-x=-x^2+2x+4
x^2-3x=0
x(x-3)=0
x=0 or x =3

for x = 0 y = 4
for x = 3 y = 1

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Alenkinab [10]

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\text {Your New Problem Is: 21p=109}

\text {\underline {The Final Step is to Divide 21}}

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The total number of points scored by each player throughout a season are listed on a roster by the player's jersey number. is th
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The jersey number will not match two numbers of points throughout the season; a player will only have one total number of points throughout the season.  Therefore no element of the domain matches more than one element of the range, and this is a function.
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Answer:

A, C, E

Step-by-step explanation:

By analyzing the graph, we can see that the roots are -2 and -4.

We now want to find all equations of the form (x-(-2))(x-(-4))=(x+2)(x+4)=0.

This immediately gives C as 1 answer.

We can expand our equation to find other possible solutions!

By the FOIL method: (x+2)(x+4)=(x)(x)+(2)(x)+(4)(x)+(2)(4)=x^2+6x+8=0

We can then divide both sides of the equation to find that -x^2-6x-8=0, so A is another answer.

We can complete the square on x^2+6x+8 to find the last possible solution.

x^2+6x+8=x^2+6x+9-9+8=x^2+6x+9-1=(x+3)^2-1=0.

We can then multiply both sides of the equation by 4 to find that 4(x+3)^2-4=0, so E is the last answer.

The proof that the other answers don't work is left as an exercise.

So, the answers are A, C, and E, and we're done!

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