What is the function?

C. f(x)= 0.5(3ˣ)

Step-by-step explanation:

C. f(x)= 0.5(3ˣ) is the function as per table

C

Step-by-step explanation:

For the exponential function in the form

y = a

Use ordered pairs from the table to find a and b

Using (0, 0.5 ), then

0.5 = a ( = 1 ), thus

0.5 = a

y = 0.5

Using (1, 1.5 ) , then

1.5 = 0.5 , hence

b = = 3

Thus

f(x) = 0.5 → C

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)