For which value of m is the equation below true? x^m x^4=x^8? a m=4. b m=12. c m=32. d m=2

A

Step-by-step explanation:

Using the rule of exponents

× ⇔ , thus

Given

× = , that is

=

Since the bases are the same equate the exponents

4 + m = 8 ( subtract 4 from both sides )

m = 4 → A

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.