The sum of digits in a two digit number formed by two digits from 1 to 9 is 8. If 9 is added to a number then both the digits become equal. find the number.

Here we need to set a system of two linear equations in two variables. So:

Let be those digits, then:

But from eq 1:

Substituting y into the expression 1:

The x-value will be found by hit and trial, so:

We have to reject this solution because digits are different.

We have to reject this solution because digits are different.

Then this is a two digit number formed by two equal digits.

Finally, the number is:

44

idk but i found this "the graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.  

so, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2)."

step-by-step explanation:

link is

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.