Answer:
50000 units sale per dollar price of the wine
Step-by-step explanation:
Fixed cost per year = $15,000
Variable cost per bottle of wine = 70% of selling price
To break even, the profits from the number of units sold = $15,000
(30% of selling price)× X units =$15,000
Or 15,000÷0.3 =50000 units per dollar price of wine
We are given 2 points with there coordinates easy to calculate:
the upper one A(1,15) & the lower one B(6,10). Moreover the equation of this linear function is y = mx + b
1st) calculate m= (10-15) / (6-1) [FOMULA m=(y₂ - y₁) / (x₂ - x₁)]
m= -5/5 ==> m= - 1==> y=-x + b. To calculate b, replace x & y by any of the 2 points A, B. Say A(1,15)
15 = - (1) + b ==> b= 16 & final equation y = -x +16
Answer:
Step-by-step explanation:
<u>Given function</u>:
If (x + 2) is a factor then:
Expand:
To find <em>a</em>, compare the coefficients of x³:
To find <em>b</em>, substitute the found value of <em>a</em> into the coefficient for x² and compare:
To find <em>c</em>, compare the constants:
Therefore:
Now factor (3x²-8x+5):
Therefore the factored function is:
<u>Zero Product Property</u>
To find the zeros, set each factor equal to zero and solve for x:
Therefore, the zeros of the function are:
<7 = <2 (Alternate exterior angles)
3x + 10 = 70
3x = 60
x = 20
Answer is the 2nd one
20
