Answer:
Option A is correct, i.e. 12.
Step-by-step explanation:
Given is the table of x&y relationship which represents an exponential function.
The average rate of change for a function can be found using the following formula:-
F_average = { f(b) - f(a) } / (b-a)
Given a = 3 and b = 5.
From the table, f(3) = 8 and f(5) = 32.
So, F_average = (32-8)/(5-3)
F_average = 24/2 = 12.
Hence, option A is correct, i.e. 12.
1.98
hope this helps have a nice day and i would appreciate if you mark me brainlest
Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is , which is . The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is .
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Answer:
7
Step-by-step explanation:
Use secant-tangent product theorem.
1. Set up the equation
(x-3)(x-3+5) = (x-1)²
2. Solve
(x-3)(x+2) = (x²-2x+1)
(x²-x-6) = (x²-2x+1)
3. Solve for x
Subtract x² from both sides
-x-6 = -2x+1
Add 2x and 6 to both sides
x = 7