Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
Determining the slope between (-3, -16) and (-5, -26)
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
Therefore, we conclude that the equation of the line is:
Answer:
Correct answer is:
Step-by-step explanation:
Given that Number of bracelets with yellow beads is represented by 
Each bracelet with yellow beads is sold for $5.
Total money raised by bracelets with yellow beads = Number of bracelets sold 
Money raised by sale of one such bracelet = 
Also Given that Number of bracelets with Orange beads is represented by 
Each bracelet with orange beads is sold for $6.
Total money raised by bracelets with orange beads = Number of bracelets sold Money raised by sale of one such bracelet = 
Given that total money raised by sale of both type of bracelets is $660.
so, the first equation becomes:
It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"
So, by equation (1) and (2), the system of equations is:
Answer:
Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other
Step-by-step explanation:
Take for instance 2 linear functions, and
If they intersect in some point in the space, say that is
Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)
So, we can compare the two functions and get the following result;
It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.
hope this helps!
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Answer:
50 years
Step-by-step explanation:
use the simple interest formula :
PRT/100
P is the principle (5000)
R is the rate of interest (4)
T is the time taken (x- unknown)
the amount at the end is double the amount invested = 5000*2 = 10000
(5000*4 * x )/100 = 10000
20000x/100=10000
20000x = 100*10000
20000x = 1 000 000
x= 1 000 000/ 20 000
x = 50
it will take<u> 50 years </u>
