We know that the fence is 52 <em>feet</em> long, but since it's sold in yards, we need to somehow convert feet to yards.
First, we need to find a little something called a conversion factor. Basically, we need to see what we can do to get from <em>one foot</em> to <em>one yard</em>.
Well, how many feet are there in a yard? <em><u>3.</u></em><u /><u /> So now we know that <em><u>one foot is 1/3 of a yard.</u>
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So to convert 52ft to yards, we need to divide by 3. What's 52 divided by 3?
17.33.
Now we just need to multiply that by 10.99 so that we can find out the cost.
We get 190.45. That's your answer!
It all cost <em>$190.45
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<em>Don't forget to rate this answer the Brainliest!</em><em>
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Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since a negative value is below the base camp, this means that you are now 38 m below base camp.
Answer:

Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p

Total revenue earned =

f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,

Putting the values, we get,

Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = -
= - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph