8 <=u <=12
need at least 8, no more than 12
if you could have fractions of ppl it would be
8 <=u <13
Answer:
The equation of line M in slope intercept form is 
The equation of line M in standard form is
Step-by-step explanation:
step 1
Find the slope of line M
The formula to calculate the slope between two points is equal to

we have the points
(2,4) and (0,1)
substitute



step 2
Find the equation of the line M in point slope form

we have


substitute

----> equation in point slope form
step 3
Find the equation of line M in slope intercept form

Isolate the variable y in the equation of the line in point slope form

Adds 1 both sides

step 4
Find the equation of the line M in standard form

where
A is a positive integer
B and C are integers
we have

Multiply by 2 both sides

---> equation in standard form
One form of the equation of a parabola is
y = ax² + bx + c
The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6 (1)
a - b + c = -12 (2)
9a + 3b + c = 0 (3)
Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6 (4)
9a + 3b - 6 = 0
9a + 3b = 6 (5)
Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1
The equation is
y = -x² + 5x - 6
Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
= -[ (x - 2.5)² - 2.5²] - 6
= -(x - 2.5)² + 6.25 - 6
y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.
Answer: y = -(x - 2.5)² + 0.25
<span> D Q</span>
TC<span> = D x P <span>+ ___ x Cp + ____ x
Cs</span></span>
<span>Q 2</span>
TC: Total Cost
P: Price per unit
Q: Quantity
Cp: Cost of issuance of a purchase order
<span>Cs: storage cost per unit</span>
Answer:
steps below
Step-by-step explanation:
x-a=0
x=a plug in xⁿ - aⁿ
xⁿ - aⁿ = aⁿ - aⁿ = 0
(x-a) must be a factor of xⁿ - aⁿ