Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
Answer:
11.7
Step-by-step explanation:
A^2+b^2=c^2
x^2+15^2=19^2
Answer: All real numbers are solutions.
Step-by-step explanation:
<u>Let's solve your equation step-by-step.</u>
−(5x+6)−x=−6−6x
<u>Step 1: Simplify both sides of the equation.</u>
−(5x+6)−x=−6−6x
−5x+−6+−x=−6+−6x(Distribute)
(−5x+−x)+(−6)=−6x−6(Combine Like Terms)
−6x+−6=−6x−6
−6x−6=−6x−6
<u>Step 2: Add 6x to both sides.</u>
−6x−6+6x=−6x−6+6x
−6=−6
<u>Step 3: Add 6 to both sides.</u>
−6+6=−6+6
0=0
