Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so
- The length of the fencing is 80 meters, so
Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:
Then substitute for y in the first:
b) To maximize A, find the zero of the first derivative:
So y = (80-40)/2 = 20 meters.
Answer:
C
Step-by-step explanation:
The answer is going to be miles per quart. So B is wrong.
12 gallons allows you to travel 192 miles
1 gallon permits 192 / 12 = 16 miles / gallon. (Must be a truck of some kind).
1 gallon permits 16 miles of driving.
4 quarts (in 1 gallon) permits 16 miles of driving.
1 quart gives 16/4 = 4 miles / quart.
The answer is C.
==========================
There is a slightly shorter way
12 gallons contains 12 * 4 quarts = 48 quarts.
48 quarts permit 192 miles
1 quart permits 192/48 = 4 miles
4miles / quart.
The answer is still C
We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials
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0.05797
Use standard Division to get your answer but in most classes you won’t be given an answer that big and you should use s calculator
