Answer:
The standard form of the equation for this line can be:
l: 2x + 5y = -15.
Step-by-step explanation:
Start by finding the slope of this line.
For a line that goes through the two points 
and 
,
.
For this line,
.
Find the slope-point form of this line's equation using
, and- The point
(using the point 
should also work.)
The slope-point form of the equation of a line
- with slope
and - point
should be 
.
For this line,
The equation in slope-point form will be
.
The standard form of the equation of a line in a cartesian plane is
where
, 
, and 
are integers. 
.
Multiply both sides of the slope-point form equation of this line by 
:
.
Add 
to both sides of the equation:
.
Therefore, the equation of this line in standard form is .
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/27/20 Time: 9:50 pm CST
Answer:
Mean : 15.25
Median : 17
Mode : 12
Range : 6
Explanation:
Mean: Add up all numbers and divide by the quantity
of numbers
: 12 + 17 + 12 + 18 + 17.25 = 76.25 | 76.25 / 5 = 15.25
Median: All numbers in from least to greatest, the one in the middle of all the numbers is the median. 12, 12, 17, 17.25, 18
Mode: Mode is what number appears most often in the set. 12, 17, 12, 18, 17.25
Lastly, Range: Range is the difference
between the highest and lowest numbers in the set 18 - 12 = 6
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
Answer:
Amount invested that yielded interest of 5% is $15000 and amount invested that yielded interest of 8% is $5000
Step-by-step explanation:
Johnny invested $20,000
We are told that it consisted of 2 portions because one returned an interest of 5% and the other one 8%
Now, Let x be the amount invested that earned 5% and y be the amount invested that earned 8%
Thus:
x + y = 20000 - - - (eq 1)
The total interest earned on the investment was $1150
Thus;
5%x + 8%y = 1150
This can be rewritten as;
0.05x + 0.08y = 1150 - - -(eq 2)
From eq 1, let's make x the subject.
x = 20000 - y
Putting 20000 - y for x in eq 2 gives;
0.05(20000 - y) + 0.08y = 1150
1000 - 0.05y + 0.08y = 1150
Rearranging, we have;
0.03y = 1150 - 1000
0.03y = 150
y = 150/0.03
y = 5000
Thus,
x = 20000 - 5000
x = 15000
Thus,
Amount invested that yielded 5% is $15000 and amount invested that yielded 8% is $5000
Plug the numbers in for x to see which make the equation true.
, and
, and
.