I don't really understand these Questions..Can you help me?

Problem 1: y = 4x + 6

Problem 2: 48 soda bottles per minute

Step-by-step explanation:

Problem 1:

Equation of a line in slope-intercept form is given as y = mx + b.

Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.

Thus,

m = hourly fee = $4

b = initial deposit = $6

Substitute m = 4 and b = 6 into y = mx + b

Equation would be:

y = 4x + 6

Problem 2:

What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute

Using the two points (3, 144) and (8, 384),

Slope = ∆y/∆x = (384 - 144)/(8 - 3)

Slope = 240/5 = 48

Thus, the machine will make 48 bottles per minute

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x