Answer:
Given:
Step-by-step explanation:
1/4 are female
How many of the adults are female?
ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER
THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.
STEP BY STEP SOLUTION:
FACTOR BY GROUPING
(5x +9) (x -9)
WRITE IN STANDARD FORM
5x^2 - 36x -81
SOLVE USING THE QUADRATIC FORMULA
Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.
X= 9, -9/5
I HOPE IT HELP YOU :)
Answer:
The maximum is P=112.4 at (23.4,7)
Step-by-step explanation:
From the graph, the coordinates of the vertices of the feasible region are:
(0,25)
(9,7)
(23.4, 7)
(15,17.5)
Substituting these values in the objective function, P.
At (0,25), P = 6x − 4y=6(0)-4(25)=-100
At (9,7), P = 6x − 4y=6(9)-4(7)=26
At (23.4,7), P = 6x − 4y=6(23.4)-4(7)=112.4
At (15,17.5), P = 6x − 4y=6(15)-4(17.5)=20
Since the objective is to maximize,
The maximum is P=112.4 at (23.4,7)
To solve the linear programming problem, graph the inequalities to find the feasible region, then compute the function P = 6x − 4y at each corner point of the feasible region to find the maximum value. The values of x and y must also uphold all the inequalities.
The subject of the problem is a linear programming problem, and to solve it, we first identify the feasible region by graphing inequalities. This involves graphing x + 2y ≤ 50, 5x + 4y ≤ 145, 2x + y ≥ 25, y ≥ 7, and x ≥ 0. The feasible region would be formed by the area enclosed within those lines.
Next, we find the corner points of the feasible region because, in a linear programming problem, the maximum and minimum always occur at the vertices or corner points. Let's calculate these corner points.
Finally, we evaluate the function P = 6x − 4y at each corner point and find the value of P that would be maximized. It's crucial to remember that the values of x and y must satisfy all the given inequalities.
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Employee A: total job benefits $49,200 and total job expenses $300
b.
Employee B: total job benefits $49,500 and total job expenses $500
c.
Employee C: total job benefits $ 49,800 and total job expenses $700
d.
Employee D: total job benefits $50,100 and total job expenses $900
A thrift is a kind of bank that arranges mortgages (mostly for home ownership) and sets up accounts to receive deposits.
The statement is actually false. The difference is in who they can borrow from and whether or not they are set up for profit. Thrifts are usually non profit.