Using the elimination method to solve 2 x-y=8 x + y = 20
1 answer:
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Answer:
Step-by-step explanation:
No. of T-Shirts sold in first week = 15
No. of T-Shirts sold in second week = 22
No. of T-Shirts sold in third week = 29
The number of shirts sold each week represents an arithmetic sequence.
15,22,29,....
So, a = first term = 15
d = common difference = 22-15= 29-22= 7
Formula of nth term :
a is the first term
d is the common difference
n is the number of term
Now substitute the values in the formula :
Where n is the number of weeks
Hence the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n is
<u>Answer: </u>
The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10
<u>Solution: </u>
Given that (5,9) and (6,8)
Here,
We know the slope of an equation is given by y = mx+c
To find the value of m, we use the below given formula
Substituting the values we get,
m = 3
Putting the value of m in the slope intercept form we get,
y = 3x+c
To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5
5 = 3(5) + c
5 = 15 +c
5-15 = c
c = -10
Therefore the slope intercept equation becomes y = 3x -10