C. There is no solution
The graphs of the two equations represent the same line
I'm sure you know how to find the slope of a line if you know 2 points
on it ... The slope is ...
(difference in y-values) / (difference in x-values) .
Right ?
OK. Each line in these tables is a point on the graph of the table.
Pick two points from the table, and you can get the slope of the line
from them.
The first table (Plan-A) has these points in it:
1 . . . . . $20.15
2 . . . . . $20.30
3 . . . . . $20.45
4 . . . . . $20.60
You want to find the equation of the line with these 4 points on it.
That means you need to find the slope and the intercept of the line.
Take any two points straight from the table. I'll use the first two:
1 . . . . . $20.15
2 . . . . . $20.30
There you have two points on the line: (1, 20.15) and (2, 20.30) .
The slope is (difference in 'y') / (difference in 'x').
Difference in 'y' = (20.30 - 20.15) = 0.15
Difference in 'x' = (2 - 1) = 1
Slope of the line = (0.15) / 1 = <u>0.15</u>
(What that really means is 15 cents per minute on Plan-A.)
Now you know that the equation of the line is [ <u>y = 0.15x + intercept</u> ].
Can you think of a way to find the intercept ?
Remember ... every point in the table is on the line.
So why not just take one of these points in the table, put it into the part of the equation that you already have, and watch the intercept fall out ?
You could use any point at all from the table.
I'll use the 3rd one.
<u>y = 0.15x + intercept</u>
20.45 = 0.15(3) + intercept
20.45 = 0.45 + intercept
Subtract 0.45 from each side: <u>20.00 = intercept</u>
The equation of the graph for Plan-A is <em>Charge = 0.15(minutes) + $20.00</em>
===============================
Plan-B:
First two points:
Difference in y-values = (8.00 - 6.50) = 1.50
Difference in x-values = (10 - 5) = 5
Slope of the line = (1.50) / (5) = .30 (30 cents per minute)
Intercept = 5.00
Charge = 0.3(minutes) + $5.00
======================================
Plan-C:
Slope = 4.50 / 10 = 0.45
Intercept = zero
=================================
Plan-D:
Slope = (16.50 - 11.00) / (30 - 20) = 5.5/10 = 0.55
Intercept = zero
In each plan, the intercept is the cost just to sign up, before you use
the phone, and then the slope is the cost for each minute of talking on it.
Answer:
the sum is a non terminating and a non repeating decimal
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
Answer:
9:59
Step-by-step explanation:
all you have to do is add the hours to the hours and the minutes to the minutes but if you get a number over 60 in the minutes section then you need to subtract 60 from that side until get a number under 60 then you add however many times you did that to the hours
