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3 years ago

How many numbers are reciprocal of themselves?

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

two: +1 and -1

Step-by-step explanation:

If a number is equal to its own reciprocal, it will satisfy the equation ...

x = 1/x

Multiplying by x and subtracting 1 gives ...

x^2 -1 = 0

This factors as ...

(x -1)(x +1) = 0

By the zero product rule, the solutions are those values of x that make one or more factors zero:

x = 1

x = -1

There are two self-reciprocals.

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Which number is a solution of the inequality 8 - 1/4 b > 27

Brrunno [24]

The inequality is 8-1/4x>27. The solution of the inequality is b<-76.

Given that,

The inequality is 8-1/4x>27

We must determine how to address the inequity.

Take,

8-1/4x>27

Multiply the inequality's two sides by its lowest common denominator,

4×8-4×1/4b>27×4

Reduce the expression to the lowers term,

4×8-b>4×27

Calculate the product or quotient,

32-b>4×27

Calculate the product or quotient,

32-b>108

Rearrange unknown terms to the left side of the equation,

-b>108-32

Calculate the sum or difference,

-b>76

Divide the inequality's two sides by the variable's coefficient,

b<-76

Therefore, the solution of the inequality is b<-76.

To learn more about inequality visit: brainly.com/question/28823603

#SPJ1

6 0

1 year ago

Please help me!<br> Hint: the number is negative

wel

Answer:

$-36$ goes into the box

Step-by-step explanation:

Let the number be $x$ , then

$(m^x)^{\frac{1}{3}}=m^{-12}$

We now use the following property of exponents to simplify the left hand side of the equation.

$(a^m)^n=a^{mn}$

This implies that;

$m^{x\times \frac{1}{3}}=m^{-12}$

$\Rightarrow m^{\frac{x}{3}}=m^{-12}$

Since the bases are the same, we equate the exponents to get;

${\frac{x}{3}=-12$

We now multiply both sides by 3 to get;

$\frac{x}{3}\times 3=-12\times 3$

$\Rightarrow x =-36$

Therefore the number that goes into the box is $-36$

6 0

3 years ago

If a and b are real numbers and if y = ax + b is a direct variation equation, what do you know about a and b?

Alenkasestr [34]

y = ax + b
We observe that the given equation is the generic equation of a line.
Where,
a = represents the slope of the line. That is, the rate of change of the given function. (in this case it is constant).
b = is the cut point with the y axis.

8 0

3 years ago

What is pie exactly equal to?

natta225 [31]

Ummmm

pie = π

i think its right

3 0

3 years ago

Read 2 more answers

Martin won first place in the 100-meter dash with a time of 14 23/100 seconds. Samuel came in second place with a time of 15 7/1

Readme [11.4K]

25a is true
25b is true
25c is false
25d is false

4 0

3 years ago