Answer:
x = ± 2i
Step-by-step explanation:
note that = i
x² = - 12 ( take square root of both sides )
x = ± = ± = ± 2i
Answer:
(x -1)(12x +13)
Step-by-step explanation:
You are looking to rewrite the middle term as the sum of terms that have factors of (12)(-13) that have a total of +1. Those factors are -12 and +13, so the expression you are factoring by grouping is ...
12x^2 +13x -12x -13
= x(12x +13) -1(12x +13)
= (x -1)(12x +13)
1. its 23, because if you were to substitute 5 for x, 7(5) = 35 and if you were to substitute -3 for y, 4(-3) = -12. Therefore, 35 + -12 = 23.
Answer:
Time:
Car > Truck > Boat.
Cost of produce:
Truck > Boat > Car
Profit
Car > Truck > Boat.
We know that a worker works 400 minutes each day, and the profit that each worker needs to generate is $35, let's find how each worker needs to spend their time.
Let's call T to the number of trucks he makes, C for cars and B for boats.
Then, if he works 400 minutes we have:
T*10 + C*12 + B*8 ≤ 400
this means that the time expended crafting the toys can be, at most, 400 minutes (here you use the inequality because the worker actually can be less effective than the max, maybe tacking a break or something like that)
The other equation is:
T*1 + C*1.5 + B*0.6 ≥ 35
Here we use the inequality because the profit needs to be at least 35$, none the less, the profit can be more than tath.
Notice that if we want to solve the system with for the equal signs, it is:
T*1 + C*1.5 + B*0.6 = 35
T*10 + C*12 + B*8 = 400
We have 3 variables and 2 equations, this means that there are more than one solution for this system.
Answer:
Step-by-step explanation:
Discussion
9 with a sister
13 with a brother
7 with neither.
The total is 29 so you are counting some siblings twice. There are 29 - 25 students that have both, so 4 students have both.
P(brother and sister) = 4/25
P(brother and sister) = 0.16
Answer
P = <u>0.16</u>