Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7;
we are tasked with calculating f(g(x))
This represents a composite function where we substitute g(x) into f(x)
Consequently, we find
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
Response:
P(largest or smallest) = 0.30 + 0.20 - 0.15
Detailed explanation
You add the probabilities of choosing the largest and smallest without double counting the chance of selecting both.
Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To calculate the area that needs painting in the theater room in square feet, follow these steps:
1. Calculate the area of the theater room
Length: x
Width: x-4
A (area of theater room) = x (x-4)
2. Calculate the area of the right triangle
Height: x-4
Base: 8
A (area of right triangle) = 0.5 (8) (x-4)
3. Calculate the area of the rectangle designated as a closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Thus, the proper equation to compute the area is option A.
