Answer:
13.5
Step-by-step explanation:
In triangle ABC, DE || AC
Therefore by basic proportionality theorem:
U(x) = f(x).(gx)
v(x) = f(x) / g(x)
Use chain rule to find u(x) and v(x).
u '(x) = f '(x) g(x) + f(x) g'(x)
v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2
The functions given are piecewise.
You need to use the pieces that include the point x = 1.
You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.
And the slopes can be calculated graphycally as run / rise of each graph, around the given point.
f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1
g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5
You also need f (1) = 1 and g(1) = 2
Then:
u '(1) = f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5
v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 - 1*1.5] / (2)^2 = [2-1.5]/4 =
= 0.5/4 = 0.125
Answers:
u '(1) = 3.5
v '(1) = 0.125
The lot is <u>9.2% of the an acre.</u>
<u>Given:</u>
Area of an acre = 4840 sq. yards
Area of lot = 40 by 100 ft = ![40 ]\times 100 = 4,000 $ ft^{2}](https://tex.z-dn.net/?f=40%20%5D%5Ctimes%20100%20%3D%204%2C000%20%24%20ft%5E%7B2%7D)
Convert the area of the lot to feet (
):
<em>Therefore:</em>
Area of lot = 
Percentage occupied by the lot = area of lot / area of acre x 100
The lot therefore is <u>9.2% of the an acre</u>.
Learn more here:
brainly.com/question/20730855
<h3>
Answer: 22%</h3>
Explanation:
amount saved = 350-273 = 77 dollars.
Divide this amount over the original price
77/350 = 0.22 = 22% is the discount rate
Answer:
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Step-by-step explanation:
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