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UNO [17]
3 years ago
7

Lim [abs(x-7)] / [x-7] x -> 7 (-)

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0
<span>Lim [abs(x - 7)] / [x - 7] as x -> 7^-
For x = 6.9: Lim[abs(6.9 - 7) / (6.9 - 7)] = -1
For x = 6.99: </span><span>Lim[abs(6.99 - 7) / (6.99 - 7)] = -1
For x = 6.999: </span><span>Lim[abs(6.999 - 7) / (6.999 - 7)] = -1

Therefore, </span><span>Lim [abs(x - 7)] / [x - 7] as x -> 7^- is -1</span>
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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove
BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0
3 years ago
Circle A has a radius of 17 inches. what is the circumstance of Circle A
Rasek [7]

Answer:

106.76

Step-by-step explanation:

The formula to calculate the circumference if you know the radius is as follows: Circumference = 2 x Radius x π π = Pi = 3.14, thus, the math to calculate the circumference of a circle with a radius of 17 is: 2 x 17 x 3.14 = 106.76

3 0
2 years ago
I need help pleaseeeeeee
soldi70 [24.7K]

Answer:

For a triangle to be equiangular all its three interior angles must be equal, that is, each angle should measure 60˚.

Step-by-step explanation:

5 0
3 years ago
Help me plss plss I really need help I have a f
Colt1911 [192]

Answer:

A. 5 1/2 and D. 11/2

Step-by-step explanation:

Make improper fraction

8*1+3=11/8

Solve by multiplying:

4*11/8

44/8

Simplified is 11/2

We can turn it back into a mixed number

2*5+1=11 so 5 1/2

6 0
3 years ago
Are all multiples of 8 also multiples of 2
fomenos
Yes Example: some multiples of 8 are 8,16,24,32,40 and these are multiples of 2
7 0
3 years ago
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