Describe how to translate the graph of g(x) = ln x into the graph of f(x)= ln (-5)+5

B

Step-by-step explanation:

We know:

1. Replacing -x into x of an equations reflects the graph on the y-axis

2. If f(x) is a function, then f(x)+a is a vertically translated graph of the original graph, a units up

Looking at the original function of ln x and the transformed graph of ln(-x) +5, we see that we have replaced x with -x, which means it is a reflection across the y-axis.

Also, we have added a five after the function, so that means it is a vertical translation of 5 units up.

Looking at the answer choices, we see that B is the correct answer.

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.

i belive those are the ones that are under 90 degreese.