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dlinn [17]
3 years ago
8

Find the derivative of f(x) = 6x + 2 at x = 1.

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0
f'(x_0)=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=6x+2;\ x_0=1\\\\f'(1)=\lim\limits_{x\to x_0}\dfrac{(6x+2)-(6\cdot1+2)}{x-1}=\lim\limits_{x\to x_0}\dfrac{6x+2-8}{x-1}\\\\=\lim\limits_{x\to x_0}\dfrac{6x-6}{x-1}=\lim\limits_{x\to x_0}\dfrac{6(x-1)}{x-1}=\lim\limits_{x\to x_0}6=6\\\\\\Answer:\boxed{f'(1)=6}
alexandr1967 [171]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Looking for the derivative of a function is similar to differentiating the function.

Given the function f(x) = 6x+2

The derivative of the function

f'(x) = 6

The derivative of the function at x= 1 will still be equivalent to 6 since 6 is just a constant.

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3400 people attended a football game. 2312 of the people attending supported the home team, while 1088 supported the visiting te
jolli1 [7]

Answer:

68%

Step-by-step explanation:

6 0
3 years ago
A bicycle store costs ​$3500 per month to operate. The store pays an average of ​$75 per bike. The average selling price of each
vfiekz [6]

Answer: the store needs to sell 50 bicycles each month to break even

Step-by-step explanation:

The average selling price of each bicycle is ​$145.

When we talk of break even, we are referring to the point at which the income being accrued from a business is equal to the total cost of running the business. At this point, their is no profit and there is no loss.

From the example information given,

Total cost of running the business will be

cost of operating the bicycle store + the total amount the store pays per bike.

cost of operating the bicycle store

= ​$3500 per month

The store pays an average of ​$75 per bicycle. If the store buys x bicycles per month, then,

Total the total amount the store pays per bike = 75 × x = 75x

Total cost of running the business per month

= 3500 + 75x - - - - - - -1

The average selling price of each bicycle is ​$145. This means that the selling price for x bicycles will be

145 × x = 145x

Therefore , total income is $145x

To break even,

145x = 3500 + 75x

145x - 75x = 3500

70x = 3500

x = 3500 / 70 = 50

8 0
3 years ago
its been one week since i asked my first question. I've asked 3 more since. not one of them has been answered . CAN I PLEASE HAV
Anika [276]
Sure I can help to the best of my ability if possible . Only on mathematics
6 0
3 years ago
Your favorite ice cream shop has 21 flavors. You want to see which flavors are most popular. Which type of chart would be best f
Oksana_A [137]

Answer:

This in fact would be a bar graph

Using a bar graph you can see the amount of people who like a specific type of ice cream

Hope this helps :)

Have a great day love :)

8 0
3 years ago
37 is what percent of 148? I also need 148 is what percent of 37? Thank you!
yuradex [85]

Answer:

25%

400%

Step-by-step explanation:

37=148x

x=0.25

25%

148=37x

x=4

5 0
3 years ago
Read 2 more answers
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