
originally. Then you reduces the side lengths a so it will be

Just note that 40% is the same as 2/5.<span />
Step-by-step explanation:
x² - 2x - 48
= (x - 8)(x + 6)
Coefficient of x² is positive, => Happy shape curved upwards
Hence x < -6 or x > 8.
Answer:
The maximum profit is when they make 10 units of A and 2 units of B.
Step-by-step explanation:
Let x is units of milk
Let y units of cacao
Given that :
The company's production plant has a total of 22 units of milk and 46 units of cacao available.
2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)
4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available
Graph the constraint equations and find the point of intersection to determine the feasibility region.
The intersection point (algebraically, or from the graph) is (10, 2)
The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.
Hence, we substitute (10, 2) into the above function:
6.2*10 + 4.2*2 = 70.4
The maximum profit is when they make 10 units of A and 2 units of B.
Answer:
Solution:
,
Step-by-step explanation:
Given:
The rational equation to solve is given as:

Doing cross product, we get:

Now, for
, the rational equation is equal to 0. So,
is a solution.
Also,
is also a solution.
So, no extraneous solution.
To find 50% or half, of 31, you can just add 31 + 31.
Or, 31 x 2.
Or even the longer way, we know 3 + 3 = 6. So we can just add 0's: 30 + 30 = 60. That leaves us with the 1's. 1 + 1 = 2.
Take our 60 from earlier, and add 2. 60 + 2 = 62.
Check your answer. 62/2 = 31.
Your answer is 62