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3 years ago

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

1 answer:

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:

hope im right!

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

Luda [366]

Answer:

4 minutes and 32 seconds

Step-by-step explanation:

card $20.00-money left over $15.68 $20.00-$15.68 4.32

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

$P(E)=\frac{7}{100}=0.07$

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