Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that = i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ± = ± × = ± i
Solutions are x = ± i and x = ± i
Answer:
3,200
Step-by-step explanation:
3 is less than 5 so you round down to 3,200
Answer:
20 masks and 100 ventilators
Step-by-step explanation:
I assume the problem ask to maximize the profit of the company.
Let's define the following variables
v: ventilator
m: mask
Restictions:
m + v ≤ 120
10 ≤ m ≤ 50
40 ≤ v ≤ 100
Profit function:
P = 10*m + 65*v
The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:
point Profit function:
(10, 100) 10*10 + 65*100 = 6600
(20, 100) 10*20 + 65*100 = 6700
(50, 70) 10*50 + 65*70 = 5050
(50, 40) 10*50 + 65*40 = 3100
(10, 40) 10*10 + 65*40 = 2700
Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.
Answer:
All real solutions
Step-by-step explanation:
- The given graph is a maximum quadratic function.
- The solution to the graph is where the graph intersects the x-axis.
- We can see from the graph that, the function intersected the x-axis at two different points, hence its discriminant is greater than zero.
- Hence the solution of g(x) are two distinct real solutions.
- The solutions are not whole numbers because the x-intercepts are not exact.
- The solutions are also not all points that lie on g(x)
- The first choice is correct.
Traveling : total
8 : 25
x : 400
25 x 4 = 400 so 8 x 4 = 40 so the answer is 40.