Answer:
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
Answer:
it's either a= −3b−c/2
Or b=
−2a−c/3
Step-by-step explanation:
Not sure and s-u-p-e-r late lol-
U have to get the common denominator and do to the top what u do to the bottom #1 is 4/5 if u simplify
Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:

From equation 2

Putting c = 3r in equation 1

Putting the value of r in equation 2

Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

being m the slope of the line and <span>b the y-intercept of it.
On the other hand, if x = 0 then y = b.
First of all we will order the equations above without </span>inequalities<span> like this:
A. </span>

,

<span>
B. </span>

,
C. 
,
D. 
,

<span>
As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4
Let's analyze A and B. So:
For A, m = 5 and m = 3
For B, m = 5 and m = -3
Therefore, we discard A because of the statement above.
Finally the answer is B. So, the inequalities are:
(1)

(2)

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:
(1)

(2)

In fact, this is true.