What is the solution set for 4x−3=2x+5 , given the replacement set {2, 3, 4, 5} ?
a. x=2
b. x=3
c. x=4
d. x=5

Step-by-step explanation:

We are given that an equation

The replacement set ={2,3,4,5}

We have to find the solution of given equation.

Using subtraction property of equality

Combine like terms

Subtraction property of equality

Addition property of integers.

Division property of equality

Hcene, the solution of given equation is  given by

x=4

Therefore, option C is true.

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.

something over 10 so ? /10

step-by-step explanation: