What is the reciprocal of 5/2
A) -2 1 /2
B) -5/2
C) -2/5
D) 2/5

Answer:

The domain of [tex]f(x)[/tex] is [tex]Dom \{f(x)\} = \mathbb{R}-\{1\}[/tex].

Step-by-step explanation:

Let [tex]f(5\cdot x ) = \frac{x-5}{5\cdot x-1}[/tex], which is rearranged by algebraic means:

1) [tex]f(5\cdot x ) = \frac{x-5}{5\cdot x-1}[/tex]  Given

2) [tex]f(5\cdot x) = \frac{x\cdot 1 - 5}{5\cdot x -1}[/tex] Modulative property

3) [tex]f(5\cdot x) = \frac{5^{-1}\cdot (5\cdot x)-5}{5\cdot x -1}[/tex] Existence of multiplicative inverse/Associative and commutative properties.

4) [tex]f(x) = \frac{5^{-1}\cdot x - 5}{x-1}[/tex] Composition of functions.

5) [tex]f(x) = \frac{(5^{-1}\cdot x-5)\cdot (5\cdot 5^{-1})}{x-1}[/tex] Existence of multiplicative inverse/Associative property.

6) [tex]f(x) = \frac{(x-25)\cdot 5^{-1}}{x-1}[/tex]  Commutative, associative and distributive properties/[tex]a\cdot (-b) =-a\cdot b[/tex]/Definition of subtraction

7) [tex]f(x) = (x-25)\cdot [5^{-1}\cdot (x-1)^{-1}][/tex] Definition of division/Associative property

8) [tex]f(x) = (x-25)\cdot (5\cdot x -5)^{-1}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Distributive property/[tex]a\cdot (-b) =-a\cdot b[/tex]/Definition of subtraction

9) [tex]f(x) = \frac{x-25}{5\cdot x - 5}[/tex] Definition of division/Result

The domain of a polynomial-based rational function consists in all values of the real set except values where denominator equals zero. The value of [tex]x[/tex] such that rational function becomes undefined is:

1) [tex]5\cdot x - 5 = 0[/tex]  Given

2) [tex]5\cdot (x-1) = 0[/tex] Distributive property

3) [tex][5\cdot (x-1)]\cdot 5^{-1} = 0\cdot 5^{-1}[/tex] Compatibility with multiplication

4) [tex](x-1)\cdot (5\cdot 5^{-1}) = 0[/tex] Commutative and associative properties/[tex]a\cdot 0 = 0[/tex]

5) [tex]x-1 = 0[/tex] Existence of multiplicative inverse/Modulative property

6) [tex]x+[1+(-1)] = 1+0[/tex] Compatibility with addition/Commutative and associative properties

7) [tex]x = 1[/tex] Existence of additive inverse/Modulative property/Result

Hence, the domain of [tex]f(x)[/tex] is [tex]Dom \{f(x)\} = \mathbb{R}-\{1\}[/tex].

Answer:

it is attached 18sqrt3

Step-by-step explanation:

this is a 30 60 90 triangle which if u follows the rules of leg measurements u will find that leg a is always xsqrt3 and since x is 2x, that means ur x is 18 given that c is twice x for it's leg so now that x is 18 slap that on for x of leg a to get 18sqrt3

Answer:

Step-by-step explanation:

Firstly we know that in geometry parallel lines have the same slope

[tex]m_1=m_2[/tex]

and ,

perpendicular lines have the slope denoted by the formula  

[tex]m_1m_2=-1[/tex].

Secondly ,

x = 1 is a line that is parallel to the y-axis, and any line parallel to the y-axis has undefined slope.

and the slope of a line perpendicular to x = 1 would be parallel to the x-axis and any line parallel to the x-axis has the slope of zero.

Slope for parallel line is undefined and slope for perpendicular line is zero.

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given:

graph equation, x=1

The slope for parallel line is

m1 = m2

and, the slope for perpendicular lines is

m1 * m2 =-1

As, x = 1 is a line is parallel to the y-axis, and line parallel to the y-axis has undefined slope.

Also, the slope of a line perpendicular to x = 1 would be parallel to the x-axis.

So, line will have the slope zero.

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Answer:They are 600 feet apart from each other

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

the 200 since its below the surface it would become negitive and 400 - -200 would turn into 400 + 200 and that would be 600 :)  

Answer:

17/300.

Step-by-step explanation:

17/300 students have a dog.

Answer:

17

Step-by-step explanation:

use ur head. head ur use. done

Answer:

Organelle, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere.

Step-by-step explanation:

Answer:

The domain of the inverse is R

Step-by-step explanation:

Here, we want to find the domain of the inverse of the function

Mathematically, the domain of the inverse of the function is the range for the original

function

In other words, the domain of the inverse of h(x) is the range of h(x)

Answer:

Angle one is 115 degrees. Angle 2 is 65 Degrees

Step-by-step explanation:

Angle 1 is corresponding to 115 degrees and angle 2 is supplementary to angle 1 (180- 115= 65)  Hope you get a good grade :)

Answer:

- 4

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

A. d=412

Step-by-step explanation:

d−267+267=145+267

d=412

Answer:

412

Step-by-step explanation:

d–267=145

d=145+267(sign changes)

d=412

Answer:

C

Step-by-step explanation:

let me know If I am wrong

Answer:

31.42 ft

Step-by-step explanation:

C = 2pi times r

d = 2 r

C = pi times 10 = 31.42 ft

Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

Answer: -3, -2.4, -2 1/4, -1.5, -1 1/8

Step-by-step explanation:

The list that orders the numbers from least to greatest is; -3, -2.4, -2 1/4, -1.5, -1 1/8

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

We have been given number line going from negative 4 to positive 4.

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

For this we need to remember the number line, we have that that:

-3 <-2.4 < -2 < 1/4 <-1.5 < -1 <  -1 1/8< 0

We go from the big negative numbers, to the small negative numbers, the zero, the small positive numbers, the big positive numbers.

Therefore, the numbers from least to greast the correct options are:

-3, -2.4, -2 1/4, -1.5, -1 1/8

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Answer:

There are 8 boys for every 10 girls. This is 6 equal groups. Equal ratio

Step-by-step explanation:

Answer:

look it up on geometric site

Step-by-step explanation:

Answer:

subtract 1.3 from both sides to get x> -3.2

Step-by-step explanation:

Step-by-step explanation:

student

whole number between 4 and 8 is 5,6 and7

and between 12 and 16 is 13,14 and 15

Answer:

a) 5,6,7

b) 13,14,15

Step-by-step explanation:

Answer: She is given $210 and spends $58

She earns $580 and spends $420

Step-by-step explanation:

Answer:

x=4 would make the equation 0

5(4)-20

20-20

0

Step-by-step explanation:

Answer:

3x + 4.5x + 1 = 28

3.6 seconds

Step-by-step explanation:

Initial distance apart = 1 foot

Student A:

Walk rate = 3 ft per second

Student B:

1.5*3 = 4.5 ft per second

How long it will take to be a total of 28 feets apart

Distance = speed * time

Let time = x in seconds

Student A distance = 3x

Stident B distance = 4.5x

Initial distance = 1 foot

3x + 4.5x + 1 = 28

7.5x = 28 - 1

7.5x = 27

x = 27/ 7.5

x = 3.6 seconds

Answer:

3.02 hope this helps!

Answer:

It is. 4 ( 6x- 5) Hope this helped

Answer:

c - 14

Step-by-step explanation:

Answer:

thanksss

Step-by-step explanation:

:)

Answer:

option a is the answer

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

B.c=30m+0.50

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

c=30m + 0.50

Answer:

9 minutes

Step-by-step explanation:

12 divided by 1.5 is 9.

Answer: 8 I think

Step-by-step explanation: 12 ÷ by 1.5 = 8

Hope I helped! :)

Answer:

is there a picture?

Step-by-step explanation:

Answer:

The outside of a shape multiplied by another.

Ex. 4 x 3 x 4 x 3 is a example of the area of a square  

Ex 2. 9 x 5 x 6 Is a example of the area of a triangle

Step-by-step explanation:

Hope this helps! :)))

Answer:

which are the chocies???

Answer:

I don't know what the choices are but maybe y=25x+5

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation: