ANSWER:
Price of the stock after owning for 12 weeks is $12c, where c can be price per one week.
SOLUTION:
Given, the price of a particular stock is represented by the linear equation where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.
We need to find the price of the stock when this relationship continues, after it has been owned for 12 weeks?
As it is an linear equation, proportionality exists between x and y
y ∝ x
y = cx → ( 1 )
where, c is the proportionality constant.
Now, put x = 12 weeks to find the y value in (1).
y = c(12)
y = 12c
Hence, price of the stock after owning for 12 weeks is $12c, where c can be price per one week.
c =
Answer:
x =-2 and z =-4
Step-by-step explanation:
We need to solve the following systems of equation
-3x-2y+4z = -16 eq(1)
10x+10y-5z = 30 eq(2)
5x+7y+8z = -21 eq(3)
Multiply eq(1) with 10 and eq(2) with 3
-30x-20y+40z = -160
30x+30y-15z = 90
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10y+25z = -70
Divide by 10
2y+5z = -14 eq(4)
Multiply eq(1) with 10 and eq(3) with 6
-30x-20y+40z = -160
30x+42y+48z = -126
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22y+88z = -286
Divide by 11
2y+8z = -26 eq(5)
Subtract eq(4) and eq(5)
2y+5z = -14
2y+8z = -26
- - +
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-3z = 12
z = 12/-3
z = -4
Putting value of z in eq(4)
2y+5z = -14
2y +5(-4) = -14
2y = -14 +20
2y = 6
y = 3
Putting value of z and y in eq(1)
-3x-2y+4z = -16
-3x-2(3)+4(-4) = -16
-3x -6 -16 = -16
-3x = -16+16+6
-3x = 6
x = 6/-3
x = -2
Answer:
Step-by-step explanation:
Find the x-coordinate of the vertex with this formula:
In this case:
Substituting values, we get:
Now we can substitute the coordinates of the vertex into the equation and then solve for "c".
Then:
306/6 is 51 is you add one to one side and take away the other the six numbers become: 46, 48, 50, 52, 54, 56 as you added one to one side substituting the other you took away from, therefore the smallest would be 46.
Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
step 1
Find the slope
Take two points from the graph
see the attached figure
about (37,40) and (47,50)
The formula to calculate the slope between two points is equal to
substitute
step 2
Find the y-intercept
we have
substitute in the linear equation
solve for b
therefore
The linear equation is