We need to find the maximum (Vertex of the function)
Let:
L = Length = 1500 - 2x
W = Width = x
The area is given by:

We can find the maximum using the following formula:

Evaluate the area for the value we found previously:

The largest area that can be enclosed is 281250m²
Answer:
1/3
Step-by-step explanation:
You need to use slope formula. (the change in Y over the change in X = Slope [x1-x2/y1-y2 = slope]). I believe you can also use point slope formula, but I forgot how to do that one.
First, you would set up the equation.
7-9/-2-4 OR 9-7/4+2
you would then solve to get
-2/-6 OR 2/6
when simplified you get
1/3
for both. Hope it helps!
The probability of a student taking the bus given that the student is a sophomore is 0.83
The complete question is attached with the answer below:-
<h3 /><h3>What is probability?</h3>
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:
- P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1
- To calculate the probability of a student taking the bus given that the student is a sophomore, we make use of:
- P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)
Rewrite properly as:

So, we have:

Divide 25 by 30
Pr = 0.83
Hence, the probability of a student taking the bus given that the student is a sophomore is 0.83
To know more about probability follow
brainly.com/question/24756209
#SPJ1
Answer:

The volume is 128cm^3
Step-by-step explanation:
Given


Required
Determine an expression for its volume
Find the volume
Volume of a cube is:

Where x represents the length of a side
So, volume of 2 cubes would be:


Solving (b): Volume when x = 4
Substitute 3 for x in 



<em>Hence, the volume is 128cm^3</em>
Answer:
Nolan is wrong. So is the teacher.
Step-by-step explanation:
See attached image. There is no valid answer option.