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maw [93]
3 years ago
14

Prove: The difference of the reciprocals

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Step-by-step explanation:

let two successive integers n, n+1

difference of the reciprocals:

\frac{1}{n}-\frac{1}{n+1} \\=\frac{(n+1)-n}{(n)(n+1)}\\=\frac{1}{(n)(n+1)}\\=\frac{1}{(n)}\frac{1}{(n+1)}\\

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What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.
Sauron [17]

Answer with Step-by-step explanation:

We are given that an expression

f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}

We have to find domain restriction of the given function.

f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}

Domain restriction means : It is that value of x when substitute in function then  function will  not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined  at g=4

Substitute g=2

Then,it  makes denominator zero.

Hence, function is not defined  at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4

5 0
3 years ago
What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x? (1 point)
vodka [1.7K]

f(x) = x³ - 2x² - 24x

x³ - 2x² - 24x = 0

x(x² - 2x - 24) = 0

x = 0

x² - 2x - 24 = 0

a = 1, b = -2, c = -24

Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100

x = (-(-2) - 10)/(2 * 1) = -8/2 = -4

x = (-(-2) + 10)/(2 * 1) = 12/2 = 6

Answer: 2)

5 0
3 years ago
What is the measure of each interior angle of a regular pentagon?
marysya [2.9K]

\Huge   \underline {\mathcal {{{\color{orange}{108 \degree}}}}}

Option ( A ) is the correct answer.

  • Sum of all interior angle of a regular pentagon is 540°

  • Number of edges in regular pentagon is 5.

  • Number of vertices in regular pentagon is 5.
8 0
2 years ago
3xz(9xy+z)-2yz(x+y-z)
Alisiya [41]

Answer:  27x²yz + 3xz² - 2xy - 2y²z + 2yz²  

<u>Step-by-step explanation:</u>

Use the distributive property.

   3xz(9xy + z)           - 2yz(x + y - z)

= 3xz(9xy)  +  3xz(z)  -2yz(x)   -2yz(y)   -2yz(-z)

=  27x²yz   +   3xz²    -2xy       -2y²z      +2yz²  

3 0
3 years ago
What is the least comun denomanater of 9/10 and 7/8??
GenaCL600 [577]

Answer:

The least common denomator of 10 and 8 is 40

Step-by-step explanation:

8                  10

16                 20

24                  30

32                   40              

40


8 0
3 years ago
Read 2 more answers
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