3^-4 = 1/3^4 = 1/81
hope it helps!
Answer:
f(x)= (x+8)^2 + 200
Step-by-step explanation:
-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).
H is the x coordinate and K is the y coordinate
9514 1404 393
Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
__
Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6
For this case we have the following inequality:
Assuming that "d" is the variable that represents the number of hours worked by Mo during this week, we have that the hours were greater than 11, according to the inequality sign.
So, the correct option is:
Mo worked more than 11 hours this week.
Answer:
Option A
Answer:
A 21/4
Step-by-step explanation:
When forming a perfect square trinomial you need to "complete the square".
All of the steps to completing the square when solving an equation:
1. The leading coefficient must be 1.
2. Divide b by 2.
3. Square (b/2)
4. Add (b/2)^2 to both sides to keep the polynomial balanced.
5. You can now write the perfect square trinomial and solve.
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4