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grigory [225]
1 year ago
13

How many extraneous solutions does the equation below have?

Mathematics
2 answers:
soldi70 [24.7K]1 year ago
6 0

Answer:

A. 0

Step-by-step explanation:

How many extraneous solutions does the equation below have?

StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction

0

1

2

3

Anna71 [15]1 year ago
4 0

Answer:

We can say that the given equation has no extraneous solutions.

The correct option is A.) 0

Step-by-step explanation:

the given equation is \frac{9}{n^{2} +1} = \frac{n+3}{4}

this equals to 36 = (n^{2} +1)(n+3) = n^{3} + 3n^{2} + n + 3

therefore n^{3} +3n^{2} +n+3 = 36 \hspace{0.3cm}\Rightarrow \hspace{0.3cm}n^{3} +3n^{2} +n-33=0

Solving the equation through Newton-Raphson method we get n  \approx  2.3845.

We can say that the given equation has no extraneous solutions.

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Consider the curve y = x − x3. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of
Katena32 [7]

Answer:

a) mt = -2

b) y=2-2x

Step-by-step explanation:

We have y=x-x^{3}  ⇒  f(x)=x-x^{3} and we must find

a) The slope of the tangent line to the curve at the point (1,0)

b) The equation of the tangent line in part (a)

a) f(x)=x-x^{3} with the point (1,0) then f'(x) =1-3x^{2} the slope (mt) in x=1 is

f'(1)=1-3(1^{2})=1-3=-2  ,  m t= -2

b) mt=-2 at the point (1,0), knowing that the pending point model  is:

y-y_{1}=m(x-x_{1}), we solve y-0 = -2(x-1) ⇒ y=-2x+2

7 0
2 years ago
Without using technology, describe the end behavior of f(x) = −3x38 + 7x3 − 12x + 13.
Vedmedyk [2.9K]
Second option: down on the left, down on the right.

Clearly when x is bigger than one the term -x^38 will dominate the result.

When absolute value of x grows, x^38 becomes a larger positive number and - x^38 a larger negative number. Then both ends of the function tend to negative infinity.
8 0
2 years ago
Read 2 more answers
If you were to plot y versus m using the equation y = (g/k) m yo, how would you calculate the value for k?
Zanzabum

Equation is given as;

y = (g/k) yo

To find the value of “k”, divide both sides of the equation with yo;

y/yo = (g/k)yo/yo

it implies that;

y/yo = (g/k)

Now following steps will obtain the value of “k” as;

ky/yo = g

ky = gyo

<span>k = gy0/y </span>

3 0
2 years ago
Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all
Arturiano [62]

Answer:

$197.30 revenue.

Step-by-step explanation:

As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.

revenue = r  clothing purchase = p

r = (25 x 10 -12.50) - (p15% of e235)

r = (250 - 12.50) -( e235- p23.5 +11.73)

r = (237.50) - (expenditure 235- p35.73)

r = 237.50 -(expenditure 199.27)

r= 237.50

e = 199.27

p = 35.73

Answer with out including expenditure your sister revenue was $237.50

The 15% deduction cannot be confused with the deduction from clothes.

If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2

A different  Salary related 15% contribution payments = $40.20

If these were taken from $237.50

Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.

Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be   e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.

5 0
2 years ago
If 36 is is the dividend and 4 is the divisor then what is the quotient
max2010maxim [7]
Given:
36 is the dividend
4 is the divisor
Since, 4 is the divisor, you are going to want to see how many times 4 can fit into 36 evenly:
4*1=4, 4*2=8, 4*3=12, 4*4=16, 4*5=20, 4*6=24, 4*7=28, 4*9= 36
As you can see above, 4 goes into 36, 9 times evenly:
36/4 = 9
Quotient: 9

I hope this helps!
4 0
1 year ago
Read 2 more answers
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