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liraira [26]
3 years ago
13

2(v + 1). Simplify the expression

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

2v+2

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id
dybincka [34]

i) The given function is

f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}

The domain is

(x-5)(x+4)^2\ne 0

(x-5)\ne0,(x+4)^2\ne 0

x\ne5,x\ne -4

ii) For vertical asymptotes, we simplify the function to get;

f(x)=\frac{(2x+1)}{(x+4)^2}

The vertical asymptote occurs at

(x+4)^2=0

x=-4

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

2x+1=0

2x=-1

x=-\frac{1}{2}

iv) To find the y-intercept, we substitute x=0 into the reduced fraction.

f(0)=\frac{(2(0)+1)}{(0+4)^2}

f(0)=\frac{(1)}{(4)^2}

f(0)=\frac{1}{16}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0

The horizontal asymptote is y=0.

vi) The function has a hole at x-5=0.

Thus at x=5.

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0
3 years ago
$400 invested at 10% compounded quarterly after a period of 2 years
In-s [12.5K]

Answer:A = $156.83

Step-by-step explanation:

8 0
3 years ago
Find X in the problem below <br> X=In
xxTIMURxx [149]

Answer:

50

Step-by-step explanation:

Let's drag the x line to the other side with the 14 and 48.

Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.

So then we get that x^2 is 2500

then we clearly know the square root of 2500 is 50

So 50 is our answer.

7 0
3 years ago
Read 2 more answers
I HAVE POINTS TO GIVE FOR THE FIRST CORRECT PERSON TO AWNSER THESE QUESTIOnS
Sphinxa [80]

-6 is the answer for the first one after the one point 6 is the answer for the one under that 8 is the answer for the third one down and the last one is -22

7 0
3 years ago
PLEASE HELP!! I need this done by tomorrow
gayaneshka [121]
1)
348•3=1044
1044+303= 1347

Answer- 1,347 calories

2)
348•5=1740
1740•6=10440
10440+390=10,830

Answer- 10,830 calories per week

3)
23.9•8=191.2
191.2+3.5=194.7

Answer- $194.70

4)
420•0.18=75.6
75.6+15=90.6

Answer- $90.60

5)
6•5=30
30+25=55

Answer- 55 minuets
3 0
4 years ago
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