Let f(x) = 6x2 + 5 and g(x) = 3x - 5. find g(f( a) 10 b) 75 c) 90 d) 155

A)10

Step-by-step explanation:

let x =0

f(0) = 6(0)^2 +5

f(0) = 5

now put 5 into g(x)

g(5) = 3(5) -5

g(5) = 15-5

g(5) =10

so g(f(0)) = g(5) = 10

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.