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kvasek [131]
3 years ago
13

You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W

hat is the largest area that can be enclosed?
I'm not sure how to start. We haven't learned this yet in class.
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be  area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.
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What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

3 0
3 years ago
Read 2 more answers
.7 times 4 all this is for a question
anyanavicka [17]

Answer:

7777

Step-by-step explanation:

3 0
3 years ago
When number can each term of the equation be multiplied by to eliminate the fractions before solving 6-3/4x+1/3=1/2x+5​
PolarNik [594]

Answer:

12

Step-by-step explanation:

You need to find the least common denominator (LCD) to all the denominators of the fractions present in the equation. These denominators are (writing them in their prime factor form to make our calculations easier):

4=2^2\\3=3\\2=2

Therefore, we need to include a factor of 3, and two factors of 2 (2^2) in our least common denominator, so this LCD will be a perfectly divided by all three given denominators, therefore eliminating all fractions in the equation.

Our LCD is = 3*2^2=13*4=12

6 0
3 years ago
Help. The problem is in the picture
inn [45]

Answer:

The answer to your question is y = 2/3x + 4

Step-by-step explanation:

Data

Equation     y = 2/3 x + 5

New line = ?

Process

Two lines are parallel if the have the same slope. The slope is the coefficient of the x.

1.- Get the slope of the original line

                y = 2/3x + 5

   slope = 2/3

2.- Two find the equation of a parallel line we need to point I will use (0, 4)

Use the point slope formula

               y - y1 = m(x - x1)

               y - 4 = 2/3(x - 0)

               y - 4 = 2/3 x

              y = 2/3x + 4

6 0
3 years ago
Write each equation in slope intercept form the graph
Makovka662 [10]

I believe the answer is 4/5x +2. Sorry if I’m wrong.

8 0
3 years ago
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