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german
3 years ago
12

Consider the logarithmic equation f(x) = ln (x + 2) – 1. Round all values to the tenths place.

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0
Hello,

A) x=0==> f(0)=ln(2)-1=-0,30685281944005469058276787854182
y=0==>ln(x+2)-1=0
==>ln(x+2)=1
==>e^ln(x+2)=e^0
==>x+2=0
==>x=-2

B)
dom f(x)={x∈IR | x>2}
x=-2 is the vertical asymptote

c)
A=(-1,-1)
B=(0,ln(2)-1=-0,30685281944005469058276787854182 )
C=(1,ln(3)-1=0,09861228866810969139524523692253)
D=(2,ln(4)-1)=0,38629436111989061883446424291635)

d) see picture



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The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the
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The probability that both specific qualified applicants will be among the eight selected is given by:
P(2\ specified)=\frac{2C2\times 48C6}{50C8}=0.0229
The probability that the two will get apartments on the North side is given by:
P(North)=\frac{3C2\times5C0}{8C2}=0.107
The probability that the two will get apartments on the South side is given by:
P(South)=\frac{5C2\times3C0}{8C2}=0.357
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
0.0229\times0.464=0.01063


4 0
3 years ago
Read 2 more answers
(5x)/6 + 11/4 = 17/3
pantera1 [17]

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: <u> Solve for  x  by simplifying both sides of the equation, then isolating the variable.</u>

Have a great day and stay safe !

3 0
3 years ago
Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1
Sholpan [36]

Answer:

x + 3y -z - 3 = 0      

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

\langle 3,0,3\rangle, \langle0,1,3\rangle

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0

It is the required equation of plane.

4 0
3 years ago
During an election، 70% of the population voted. If 70,000 people cast their votes, what is the population of the town?​
slava [35]

Answer:

100,000

Step-by-step explanation:

70,000 people = 70% of the population.

Divide 70,000 by 70 to get the number of population per 1%:

70000 ÷ 70 = 1000

Therefore, 1000 people represent 1% of the population.

To calculate 100% of the population, multiply the number of people representing 1% by 100:

1000 x 100 = 100,000

Therefore, the population of the town = 100,000

3 0
2 years ago
Joe was planning a business trip to Canada, so he went
nika2105 [10]

Answer:

2203.20 pesos

Step-by-step explanation:

Joe's original amount was $200

#We convert this amount to $CDN:

\$1=1.02\$CDN\\\\=200\times 1.02\\\\=204\$CDN

Joe now has to convert the Canadian dollars to Mexican pesos(at a rate of 10.8 pesos per $1 CDN):

=204\times10.8\\\\=2203.2

Hence, he gets a total of 2203.20 pesos in exchange for his Canadian dollars.

4 0
3 years ago
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