Answer: Choice A) 1/9
--------------------------------------------
--------------------------------------------
Work Shown:
Replace every x with -4 and then simplify the right side
f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9
Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.
Answer:
The total cost of the meal is $19.35.
Step-by-step explanation:
As Nicole ordered a $ 15 menu, and on that price she paid a tip of 20% and the town in which she bought it had a sales tax of 9%, the total cost of the meal is determined by performing the following calculation:
1- Menu $ 15
2- Tip $ 3 (15 x 0.2)
3- Sales tax $ 1.35 (15 x 0.09)
Thus, adding the three expenses, the total cost of the food for Nicole is $ 19.35 (15 + 3 + 1.35).
Answer:
Step-by-step explanation:
Vertex form of a quadratic equation;
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
Now substitute in the given point; ( -1, 9) and solve for a;
Hence the equation in vertex form is;
In standard form it is;
Answer:
C
Step-by-step explanation:
I think the correct answer would be C since you are using lines and angles but I am not 100 percent sure. Also because A and B wouldn't make since because it is adding.
I might be wrong but I say 16
