Answer:
there is no table below, you have to add a picture
Step-by-step explanation:
Your equation
![f(x)=2x^2+4x+9](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2%2B4x%2B9)
is in the form
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
The vertex only relies on "a" and "b" though, so that +9 doesn't really matter in this case. The vertex of a parabola is located where
![x=\frac{-b}{2a}=\frac{-4}{2(2)}=-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-4%7D%7B2%282%29%7D%3D-1)
So your x-coordinate is -1. You need to find f(-1) to find your y-coordinate, and then you list it in the form (-1, y).
To solve an equation or inequality, you can add the same value to both sides of the expression. Here, it is convenient to choose that value to be the opposite of the constant (+15) added to y, so that constant is replaced by zero.
y + 15 - 15 < 3 - 15 . . . . . we have added -15 to both sides
y < -12 . . . . . . . . . . . . . . . the result of simplifying. This is your solution.
The 3 in 350 is in the hundred place and in 403 the 3 is in the ones place
Answer:
* = b²
Step-by-step explanation:
You know that the square of a binomial is of the form ...
(x + y)² = x² + 2xy + y²
Matching given terms, we have ...
49 = y²
2xy = 14b
Solving the first of these relations for y, we have
y = √49 = 7
Putting that in the second relation and solving for x, we find ...
2x·7 = 14b
14x = 14b
x = b
Then the first term of the expansion, x², will be b².
The missing term is b².