Answer:
The vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Step-by-step explanation:
For this case we have the following function:
And we need to take in count that the vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Answer:
4. C. x = 4 or -4
Step-by-step explanation:
since both terms are perfect squares, factor using the difference of squares formula, a² - b² = ( a + b ) ( 
- b ) where
Answer:
A) Suppose we have an onedimensional situation.
in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:
x ∈(-6ft, 6ft)
we can write this as: IxI < 6ft
b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:
x ∉ [-6ft, 6ft].
or IxI > 6ft.
So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).
Answer:
we are given the function –2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:
-2x + 5x =8+4
Then, do the necessary operations.
3x = 12
x = 4.
The variable x has a value of 4.
Step-by-step explanation:
