For each x intercept the corresponding factor can be deduced. For x intercepts given at 1,2,3 , the equation can be written as
y= (x-1) (x-2) (x-3)
Because x=1 therefore x-1=0 , similarly x=2 , x-2=0 and , x=3 , x-3=0
or
y= x²+2x-3 (x-3)
or
y= x³+2x²-3x-3x²-6x+9
y= x³-x²-9x+9
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- Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
- (x + y)^2 = x^2 + 2xy + y^2
- Standard Form: y = ax^2 + bx + c
So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>
However, we need to convert this into standard form still, and we can do it as such:
Firstly, solve the exponent: 
Next, foil -2(x^2+2x+1): 
Next, combine like terms and <u>your final answer will be:
</u>
The area of any trapezoid is
Area = (1/2) x (height) x (one base + the other base) .
Take that formula and write in the numbers you know:
(24 m²) = (1/2) x (height) x (5m + 7m)
(24 m²) = (6m) x (height)
Divide each side by 6m :
Height = (24 m² / 6m)
= 4 m .
Answer:
50% chance because there is 2 sides heads and Tails so u have a 50% chance of heads and 50% chance of Tails
Answer:
k = -2/5
Step-by-step explanation:
2k+9=7-3k
2k+3k=7-9
5k=-3
k=-2/5