Answer: x=3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Multiply both sides of the equation by 3:

- Now you must make the equation equal to zero as following:

- Factor it, as you can see below. Therefore, you obtain the following result:

Hello,
s=48t-16t²
a)
s=0==>16t(3-t)=0==>t=0 or t=3
b)
s>32==>48t-16t²>32===>16(t²-3t+2)<0
Δ=9-8=1
==>16(t-1)(t-2)<0
==>1<t<2 (negative between the roots)
The length of a rectangle:
L = 2 W + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²
The maximized value of the function is (c) 119/2
<h3>Maximization problem</h3>
Maximization problems are used to determine the optimal solution of a linear programming model
<h3>Objective function</h3>
The objective function is given as:

<h3>Constraints</h3>
The constraints are given as:



<h3>Graph</h3>
See attachment for the graph of the constraints
From the graph, the optimal solution is: (2.83, 2.83)
So, the maximized value is:



Approximate

Rewrite as a fraction

Hence, the maximized value of the function is (c) 119/2
Read more about maximization problem at:
brainly.com/question/16826001
Answer:
10.667 yards
Step-by-step explanation: