we have
![f(x)=-(x+8)(x-14)](https://tex.z-dn.net/?f=f%28x%29%3D-%28x%2B8%29%28x-14%29)
Convert to vertex form
![f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112](https://tex.z-dn.net/?f=f%28x%29%3D-%28x%2B8%29%28x-14%29%5C%5Cf%28x%29%3D-%28%20x%5E%7B2%7D-14x%2B8x-112%29%20%5C%5Cf%28x%29%3D-%28%20x%5E%7B2%7D-6x-112%29%5C%5Cf%28x%29%3D-x%5E%7B2%7D%2B6x%2B112)
we know that
the equation of a vertical parabola in vertex form is equal to
![y=a(x-h)^{2} +k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E%7B2%7D%20%2Bk)
where
(h,k) is the vertex
![f(x)=-x^{2}+6x+112](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E%7B2%7D%2B6x%2B112)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![f(x)-112=-(x^{2}-6x)](https://tex.z-dn.net/?f=f%28x%29-112%3D-%28x%5E%7B2%7D-6x%29)
Complete the square. Remember to balance the equation by adding the same constants to each side
![f(x)-112-9=-(x^{2}-6x+9)](https://tex.z-dn.net/?f=f%28x%29-112-9%3D-%28x%5E%7B2%7D-6x%2B9%29)
![f(x)-121=-(x^{2}-6x+9)](https://tex.z-dn.net/?f=f%28x%29-121%3D-%28x%5E%7B2%7D-6x%2B9%29)
Rewrite as perfect squares
![f(x)-121=-(x-3)^{2}](https://tex.z-dn.net/?f=f%28x%29-121%3D-%28x-3%29%5E%7B2%7D)
![f(x)=-(x-3)^{2}+121](https://tex.z-dn.net/?f=f%28x%29%3D-%28x-3%29%5E%7B2%7D%2B121)
the vertex is the point ![(3,121)](https://tex.z-dn.net/?f=%283%2C121%29)
therefore
<u>the answer is </u>
The y-value of the vertex is ![121](https://tex.z-dn.net/?f=121)
Answer:
3(1+27x^3,y^3)
Step-by-step explanation:
3 is a GCF between the two terms, remove it and any other GCFs, in this case the term 3 doesn’t have any x’s or y’s. the only thing that can be removed from this equation is 3.
Answer:
8x²+6x+12xy+9y
Step-by-step explanation:
⇒(-2x - 3y)(-4x - 3)
⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)
⇒8x²+6x+12xy+9y
The vloume is 5*7*2=70 inch
Answer:
$2.75
Step-by-step explanation:
We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.
That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.
<em>Hope this helped</em><em> </em><em> </em><em>:</em><em>)</em>