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3 years ago

If (x^2+1)/x = 7 find x^2+(1/x^2)

Mathematics

1 answer:

White raven [17]3 years ago

4 0

Answer:

x²+(1/x²) = 47

Step-by-step explanation:

by identity : (a+b)² = a²+b²+2ab

(x+1/x)²= x²+(1/x)²+2(x)(1/x)

(x+1/x)²= x²+(1/x²)+2....(1)

since : (x²+1)/x = 7

(x²/x) +(1/x) = 7

x + (1/x )= 7

put the value for : x +(1/x) in (1) :

49 = x²+(1/x²)+2

x²+(1/x²) = 47

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Answer:

V = 205 in^3 to the nearest whole number

Step-by-step explanation:

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Plugging in the given information:

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3 years ago

Which polynomial function has a leading coefficient of 1 and roots /7 and - /3 with multiplicity 1?

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Answer:

A. f(x) = (x - √2)(x + √3)

Step-by-step explanation:

Leading coefficient is 1, multiplicity is 1, roots are √2 and -√3. It means the function is the product of two binomials.

The function with the roots of a and b is:

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Substitute and and b:

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Correct choice is A

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3 years ago

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F(x)=4x+2 and g(x)=4(x−9)+2. What transformation occurs from function f to function g?

Luba_88 [7]

Answer:

horizontal translation of 9 units right and 2 units up

Step-by-step explanation:

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3 years ago

Only the smartest person in their math class can help me with this difficult problem!!!

vodomira [7]

Step-by-step explanation:

$\tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}$

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ $\tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}$

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

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In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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3 years ago

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If there are 20 values in a data set in order from smallest to largest, what is

Natasha_Volkova [10]

Answer:

C The mean of the 10th and 11th values

Step-by-step explanation:

Strike the lowest and largest number until you get 1 or 2:

1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20

2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19

3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18

4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17

5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,

,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15

,7 8, 9, 10, 11, 12, 13 ,14,

8, 9, 10, 11, 12, 13

9, 10, 11, 12

10, 11,

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10+11

21/2

Mean:

10.5

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