Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
4b² + 8b + 3 = 0
4b² + 2b + 6b + 3 = 0
2b(2b + 1) + 3(2b + 1) = 0
(2b + 3)(2b + 1) = 0
b = -1/2 or b = -3/2
If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.
Thus, the polynomial will have form
where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.
The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).
Answer:
80 and B is 96
Step-by-step explanation:
1920 ÷ 24 = 80
1920 ÷ 20 = 96
puedes comprobarlo en la calculadora
lo siento si es incorrecto
eso es lo que entendí
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
These points have the same x-coordinate, so are on the same vertical line:
x = 5
