Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
![\left \{ {{-b+c=2} \atop {b+c=8}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B-b%2Bc%3D2%7D%20%5Catop%20%7Bb%2Bc%3D8%7D%7D%20%5Cright.)
=> b=3, c=5
b. delta = b^2 +4c
x1=
=4
=>
=8
x2=
=1
=>2=b+![\sqrt{b^{2}+4c }](https://tex.z-dn.net/?f=%5Csqrt%7Bb%5E%7B2%7D%2B4c%20%7D)
suppose :
= a
=> ![\left \{ {{a+b=2} \atop {-a+b=8}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Ba%2Bb%3D2%7D%20%5Catop%20%7B-a%2Bb%3D8%7D%7D%20%5Cright.)
=> a=-3
b=5
a=-3 =>
=-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
=3 => b =6
=
=-3 =>-b^2+4ac=12 => c=-12.
Answer:
Step-by-step explanation:
4 gallons is 64 cups.
Answer:
5.4
Step-by-step explanation:
When something is bisected, it is cut into two equal halves.
We know that SV cut RST into two parts.
Those two parts are RSV and VST
RSV = 64 and VST = 64
RST = RSV + VST = 64 + 64 = 128
The correct answer should be 128