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Select the correct answer.
Which two points satisfy y = -x^2 + 2x + 4 and x + y = 4?

A.
(0, 4) and (4, 0)

B.
(0, 4) and (3, 1)

C.
(7, -3) and (0, 4)

D.
(7, -3) and (4, 0)

Respuesta :

BasketballEinstein

Answer:

B. [tex]\displaystyle (0, 4)\:and\:(3, 1)[/tex]

Step-by-step explanation:

[tex]\displaystyle 1 = -3^2 + 2[3] + 4 → 1 = -9 + 6 + 4 → 1 = 1[/tex]☑

[tex]\displaystyle 3 + 1 = 4[/tex]☑

[tex]\displaystyle 4 = 0^2 + 2[0] + 4 → 4 = 4[/tex]☑

[tex]\displaystyle 0 + 4 = 4[/tex]☑

I am joyous to assist you anytime.

The points that  satisfy y = -x^2 + 2x + 4 and x + y = 4 are (0, 4) and (3, 1)

What is the equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

How to solve it?

We have

y = -x^2 + 2x + 4

and

x + y = 4 written as y=4-x

Solving;

-x^2 + 2x + 4= 4-x

-x^2 + 3x=0

x^2 +-3x=0

x(x-3)=0

x=0   or   x=3

y=4   or   y=1

(0,4) and (3,1)

Learn more about Equations:

https://brainly.ph/question/4246696

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