Compare the two ratios by entering >, < , or = in the box 6:15 30:80
1 answer:
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Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
AnswerThe equation of the tangent line to f(x) and x = 3 is:
750 bikes would be sold for $350
Let x represent the number of bikes sold per month and y represent the price.
550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)
A linear function is represented by:
y = mx + b
m is the slope, b is the y intercept.
Therefore the function is:
The number of bikes sold for $350 is:
350 = (1/2)x - 25
x = 750
Therefore 750 bikes would be sold for $350
Find out more at: brainly.com/question/13911928