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grigory [225]
2 years ago
13

How many extraneous solutions does the equation below have?

Mathematics
2 answers:
soldi70 [24.7K]2 years 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]2 years 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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It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from
Gennadij [26K]

Answer:

correct option is  C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first  \angle B and  

here

\angle A = 90 - 73 = 17°

\angle B =  73 - 31 = 42°

and

sum of all angle 180° so

\angle A +  

17° + 42° +  \angle C = 180°  

solve it we get

\angle C = 121°

Now we use here sin law that is

\frac{b}{sinB} = \frac{c}{sinC}   ........................2

put here value and we get

\frac{b}{sin42} = \frac{4.7}{sin121}  

solve it we get

b = 3,7 km

so correct option is  C. 3.7 km

7 0
2 years ago
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly
Lina20 [59]
A = 6
x^2 + 6x is equal to x(x+6)
b=2
Denominator and numerator of the first term are multiplied by x. 
c=6
Second term is multiplied by (x-6)/(x-6)
d=2
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term
e=6
In the same way as d is carried over from b, e is carried over from c. 
f = 6
2x - x + 6 = x + 6
g = 1 
We factor out the (x+6) from the numerator and denominator
4 0
2 years ago
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Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?
velikii [3]

he will pay $42.60 to the driver :)

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Jane is going to walk once around the edge of a rectangular park. The park is 300 yards long and 200 feet wide. How far will Jan
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A repairman charges $18 per hour to repair appliances plus $0.27 per mile to drive to the house and back. It took the repairman
ivolga24 [154]

Answer: The charge was right.

Step-by-step explanation:

If he charged $18 per hour, it means he charged $18 for 60 minutes. He worked for 2 hours 15 minutes which is (60 ×2) + 15 = 135 minutes. For 135 mins, (135 ×18)÷ 60 = 40.5.

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Adding the costs, 40.5 + 11.34 = $51.84

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