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Gelneren [198K]
3 years ago
8

in a recent year the population of califorina was about 2.52x10^7 people its land area is about 4.05x10^5 km^2 what was the aver

age number of people per square kilometer.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0
 4.05x10^5 km^<span>2 is the answer to your question.

</span>
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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D-x-2%20%7D%7Bx-5%7D" id="TexFormula1" title="f(x) = \fra
Umnica [9.8K]

The given function is

f(x)=\frac{x^2-x-2}{x-5}

i) We factor the numerator to obtain;

f(x)=\frac{(x-2)(x+1)}{x-5}

The vertical asymptote is where the denominator is zero.

V.A: x=5

ii) The roots are the zeros of the numerator;

Roots:

x^2-x-2=0

(x-2)(x+1)=0

x=2,x=-1

iii) At y-intercept x=0.

Put x=0 into the function and solve.

f(0)=\frac{0^2-0-2}{0-5}

f(0)=\frac{-2}{-5}

f(0)=\frac{2}{5}

Y-int: \frac{2}{5}

iv) Horizontal asymptote.

This is an improper rational function.

It has no horizontal asymptote.

v) Holes:

The given rational function has no common factors in both the numerator and the denominator.

Therefore the function has no holes.

6) For oblique Assymptote, we divide using lond division or synthetic division;

     1   -1    -2

5|  <u>      5   20</u>

     1    4    18

The quotient is x+4

The  oblique asymptote is

y=x+4

6 0
3 years ago
We say that an integer a is a type 0 integer if there exists an integer n such that a = 3n. An integer a is a type 1 integer if
Delicious77 [7]

Answer:

<em>Proof below</em>

Step-by-step explanation:

Let's assume a is a type 1 integer. By definition, it means we can find an integer n such that

a=3n+1

We need to prove a^2 is a type 1 integer

Expanding

a^2=(3n+1)^2=9n^2+6n+1

If a^2 is a type 1 integer, then we should be able to find an integer m such as

a^2=3m+1

Equating

a^2=3m+1=9n^2+6n+1

solving for m

m=3n^2+2n

Since we know n is an integer, then the expression of m gives an integer also. Having found the required integer m, the assumption is proven

5 0
3 years ago
Read 2 more answers
A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep w
mezya [45]

Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

8 0
3 years ago
Read 2 more answers
What is the volume of a sphere with a surface area of ​ 16π ​ft²?
zheka24 [161]
Sphere Surface Area     =    <span> 4 • <span>π <span>• r²
For it to equal 16 PI, then radius must equal 2
4*PI*2*2 = 16 PI

</span></span></span>
Sphere Volume   = <span>  4/3 • <span>π <span>• r³
</span></span></span>
Sphere Volume   = <span>  4/3 • <span>π <span>• 2^3
</span></span></span>
Sphere Volume   = <span> 4/3 *PI * 8
</span>
Sphere Volume   = <span> 32 / 3 PI

</span>
Sphere Volume   = <span> 10.666 PI cubic feet AND I think that is answer B
which SHOULD read 10 (2/3) PI ft^3
</span>
4 0
3 years ago
Read 2 more answers
What is the GCF of 35 and 49??
Vlada [557]

Answer: 7

Step-by-step explanation: 7x7=49 and 7x5=35

3 0
3 years ago
Read 2 more answers
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