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Mila [183]
3 years ago
14

Limx→+∞​ (x-(lnx)^2) =?​

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

\lim_{x\to\infty}(x-\ln(x)^2) \\\lim_{x\to\infty}(x-2\ln(x)) \\\lim_{x\to\infty}\Big(x\Big(1-\dfrac{2\ln(x)}{x}\Big)\Big) \\\lim_{x\to\infty}x\cdot\lim_{x\to\infty}\Big(1-\dfrac{2\ln(x)}{x}\Big) \\\infty\cdot\Big(\lim_{x\to\infty}(1)-\lim_{x\to\infty}\Big(\dfrac{2\ln(x)}{x}\Big)\Big) \\\infty\cdot(1-2\lim_{x\to\infty}(1/x)) \\\infty\cdot(1-0) \\\infty\cdot1=\boxed{\infty}

Hope this helps.

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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
How many solutions does this equation have?<br> 9c − 10 = –10c − 10
Marina86 [1]
2 solutions because you have 2 different equations
6 0
3 years ago
What is algebraic expression/equation
adell [148]
An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
5 0
2 years ago
What's the slope and y-intercept?
Shtirlitz [24]

Answer:

Slope: 2; Y-Intercept: (0,3)

Step-by-step explanation:

As you can see from the graph, it rises 4 and runs 2. So, the slope is 2. It intersects the y axis at (0,3)

4 0
1 year ago
Read 2 more answers
How do you solve #21?
Inessa05 [86]
5x^3+8x^2/3x^4-16x^2=x^2(5x+8)/x^2(3x^2-16)=5x+8/3x^2-16
lim x--->0 5x+8/3x^2-16=8/-16=-1/2
6 0
3 years ago
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