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Tamiku [17]
3 years ago
12

Lim -> 0 sin(2x) /(x*cos(x) ) help

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
Sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(x*cos(x) =2sin(x)cos(x)/x*cos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0
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Please help me if you can ‼️
Karolina [17]

Answer:

y=14.5x+5

Step-by-step explanation:

Let

x ----> the number of tickets

y ----> the price of tickets

we have the ordered pairs

(4,63) and (6,92)

step 1

<em>Find the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{92-63}{6-4}

m=\frac{29}{2}=\$14.5\ per\ ticket

step 2

Find the y-intercept or initial value of the linear equation

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope b is the y-intercept

we have

m=14.5

point\ (4,63)

substitute

63=14.5(4)+b

solve for b

b=63-14.5(4)

b=\$5

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

y=14.5x+5

4 0
3 years ago
The book costs $49.95 with 3% sales tax. What is the total cost?
VladimirAG [237]

Answer:

74.8

Step-by-step explanation:

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8 0
3 years ago
Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her
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Answer:

4 minutes and 32 seconds

Step-by-step explanation:

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6 0
3 years ago
Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Exp
AlekseyPX

Answer:

It is a case of classical probability.

Step-by-step explanation:

Since we are selecting a number between 1 and 100 randomly which is divisible by 14 the only favorable cases are 14,28,42,56,70,84,98 which are 7 cases out of 100 total numbers thus the required probability becomes

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8 0
3 years ago
Complete the table below y=mx+b
iVinArrow [24]

Answer:

I don't see a table or anything that has an attachment ????

Step-by-step explanation:

8 0
3 years ago
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