2 years ago

What is the practical domain of the function

Mathematics

1 answer:

Aleksandr [31]2 years ago

3 0

The correct answer is ALL REAL NUMBERS.

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2 years ago

Find the sum and simplify 2_1/3 + 1_3/ 4

Anna35 [415]

Answer:

49/12=4 1/12

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2 years ago

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2 years ago

The denominator of a fraction is 5 more than twice the numerator. If both numerator and denominator are decreased by 7, the simp

Ugo [173]

Answer:

numerator is 10

denominator is 25

Step-by-step explanation:

let x be the numerator

let y be the denominator

write 2 equations:

y = 5 + 2x

$\frac{x-7}{y-7}$ = $\frac{1}{6}$

y is already isolated in the first equation, substitute into the second equation:

$\frac{x-7}{5+2x-7}$ = $\frac{1}{6}$

simplify:

$\frac{x-7}{2x-2}$ = $\frac{1}{6}$

cross multiply:

2x - 2 = 6(x - 7)

simplify:

2x - 2 = 6x - 42

subtract 2x:

-2 = 4x - 42

add 42:

4x = 40

divide by 4:

x = 10

plug in 10 for x in the first equation:

y = 5 + 2(10)

y = 5 + 20

y = 25

numerator is 10

denominator is 25

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2 years ago

Some basic properties of eigenvalues. Show the following: a) The eigenvalues of A and AT are the same. b) A is invertible if and

Nitella [24]

Answer:

Step-by-step explanation:

a) Since for any determinant we have

$|A|=|A^T|$

$|A- lemda I |=0 then |A^T-lemda I |=0$

Hence both determinants would have the same eigen values

b) If A is having a zero value then by definition of eigen values we get

|A|=0. Hence we say if A is invertible if and only if A does not have a zero eigen value

c) $|AA^{-1}|=1\\$

$|A^{-1} |=\frac{1}{|A|}$

Hence eigen values of A would be the reciprocals of that of A transpose.

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2 years ago