Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers

Answer:

[tex]let \: the \: inverse \: of \: f(x) \: be \: m \\ m = {f(x)}^{ - 1} \\ m = {(4x + 12)}^{ - 1} \\ m = \frac{1}{(4x + 12)} \\ m(4x + 12) = 1 \\ 4x = \frac{1}{m} - 12 \\ x = \frac{1}{4m} - 3 \\ therefore \\ g(x) = \frac{1}{4x} - 3[/tex]

Answer:

g(x) = 1/4 x -3

Step-by-step explanation:

f (x) = 4 x + 12

g(x) = f⁻¹(x)

step 1: re-write as linear equation     y = 4x+12

step 2: swap x and y       x = 4y + 12

step 3: solve y     4y = x - 12      y = 1/4 x -3

step 4: inverse notation: f⁻¹(x) = 1/4 x - 3   i.e. g(x) = 1/4 x -3

Answer:

489

Step-by-step explanation:

Answer:

the answer is 489 I hope it helps.

Answer:

g(x)=x3

Step-by-step explanation:

g(x)=x3 is not an exponential function

Answer:

A

Step-by-step explanation:

Edge

The measure of MN is equal to 58cm, the correct option is A.

A triangle is a polygon with three sides, vertices and angle.

Triangle A B C is cut by line segment M N.

such that,

A M = M B = 88 centimeter

CN =NB = 75 centimeter

AC = 116 centimeter

If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.

MN = (1/2) AC

MN = (1/2) * 116

MN = 58 centimeter

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Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation: did it help? plz like if did

Answer:

Both expression equals 5 when substituting 2 for x, because the expressions are equivalent.

Step-by-step explanation:

Given the expressions:

(1/2)x + 4

x + 6 - (1/2)x - 2

Substituting 2 for x in the equation :

(1/2)x + 4

x = 5

(1/2)2 + 4

2/2 + 4

1 + 4

= 5

x + 6 - (1/2)x - 2

Substituting 2 for x

2 + 6 - (1/2)2 - 2

8 - 2/2 - 2

8 - 1 - 2

= 5

Answer:

X= -10

Step-by-step explanation:

This is the answer wait I will show u the steps

Answer:

negative 2

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Do prime factorization and multiply the factors the two numbers have in common.

Answer:

x ≠ 1

Step-by-step explanation:

If 1 is used, this will happen:

f(x) = 4/-(1) + 1

f(x) = 4/-1 + 1

f(x) = 4/0 = Undefined

Answer:

Step-by-step explanation:

The question is not quiet correctly displayed, it should be:

Simplifying:

The simplified base is 9

Answer:

B

Step-by-step explanation:

Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).

Which line has a constant of proportionality between y and x (Slope) of 4/3?

4/3 = slope = rise over run

(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)

Only B goes up 4 and over 3 (has the slope of 4/3)

Answer: B

Answer: plz mark me brainliest

Step-by-step explanation:

I need points to ask a question

Answer:

I cannot see the whole thing

Answer:

Its easy. What grade are you in?

Step-by-step explanation:

Answer:

Step-by-step explanation:

By 2 for the first one.      And for 2 they skip counting by 6

Answer:

8????? I dont really know.....

Answer:

¿en qué periodos  le tocará participar?

El equipo cuatro participa en el periodo 5 - 11 - 17

¿Todos los equipos participarán el mismo  número de veces?

Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces

¿Por qué?

Cuatrimestre. =  120 dias

Numero de semanas = 120/ 7  17,1

17 semanas completas 3 dias

No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.

Son 6 equipos para participar todos serian por lo menos 17 semanas 1 dia.

Step-by-step explanation:

Cuatrimestre. =  120 dias

Numero de semanas = 120/ 7  17,1

17 semanas completas 3 dias

No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.

Son seis equipos.   17 ( 16,3) semanas / 6

Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces

Semana 1 2 3 4 5 6

Equipos

1        

2  X      

3   X    

4    X    

5     X  

6      X  

7       X

8  X      

9   X    

10    X    

11     X  

12      X  

13       X

14  X      

15   X    

16    X    

17     X  

18      X  

Answer:

The fill in the blank is the word similar.

Step-by-step explanation:

A pyramid has a cross-sectional shapes, taken parallel to its base, that are similar to one another.

When we do the cross-section of a pyramid parallel to its base, the cross-section formed will be in the same shape like the base.

Whenever a cross section is done parallel to the base of any pyramid, the resulting shape will be same like the base. As we move up in the pyramid and cross section it, the shape formed will be like the base but with smaller dimensions. But the shape will be the same as the base.

Answer: Similar

Step-by-step explanation:

Answer:

$18.90

Step-by-step explanation:

Multiply the original price by the percentage

$21 x 10% = $2.10

You then subtract this from the original to get the discounted price

$21 - $2.10 = $18.90

Answer:

14°

Step-by-step explanation:

Sum of angles is 180°

57 + 73 + (4x - 6) = 180

130 + 4x - 6 = 180

4x = 180 - 130 + 6

4x = 56

x = 14°

Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)

Step-by-step explanation:

(1) Find the greatest common factor - 3x^2. Simplify as much as possible.

(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."

"The factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

There are six different methods to factorizing polynomials. One of those methods is factorization of a polynomial by grouping method."

1. The given polynomial is

[tex]-3x^{4} - 9x^{3} + 15x^{2} \\= - 3x^{2}(x^{2}+3x-5)\\[/tex]

Therefore, by factorizing the given polynomial, we get:

[tex]- 3x^{2}(x^{2}+3x-5)[/tex].

2. The given polynomial is

[tex]10x^{3}-35x^{2} +6x-21[/tex]

We need to factorize it using grouping method.

Therefore,

[tex]10x^{3}-35x^{2} +6x-21\\= 5x^{2}(2x-7)+3(2x-7)\\= (5x^{2} +3)(2x-7)[/tex]

Hence,

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

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Answer:

[tex]T = 3.54[/tex]

Step-by-step explanation:

Given

Direct Variation of T to [tex]\sqrt d[/tex]

[tex]d =6;\ when\ T = 5[/tex]

Required

Determine T when d = 3

The variation can be represented as:

[tex]T\ \alpha\ \sqrt d[/tex]

Convert to equation

[tex]T = k\sqrt d[/tex]

[tex]d =6;\ when\ T = 5[/tex]; so we have:

[tex]5 = k * \sqrt 6[/tex]

Make k the subject:

[tex]k = \frac{5}{\sqrt 6}[/tex]

To solve for T when d = 3.

Substitute 3 for d and [tex]k = \frac{5}{\sqrt 6}[/tex] in [tex]T = k\sqrt d[/tex]

[tex]T = \frac{5}{\sqrt 6} * \sqrt{3}[/tex]

[tex]T = \frac{5\sqrt{3}}{\sqrt 6}[/tex]

[tex]T = \frac{5 * 1.7321}{2.4495}[/tex]

[tex]T = \frac{8.6605}{2.4495}[/tex]

[tex]T = 3.5356[/tex]

[tex]T = 3.54[/tex] -- approximated

Answer:

Answer and steps in the pic

Step-by-step explanation:

u > -17

Answer:

x = 1, y = 2

Step-by-step explanation:

this system is set up nicely to just add because then the y-value will be eliminated and you will have:

8x = 8

x = 1

get y value:  2(1) - 6y = -10

                    2 - 6y = -10

                     -6y = -12

                      y = 2

Answer:

False

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 6

Step 2: Write Function

Substitute into general form.

y = 2x + 6

Step 3: Compare

2y = 6x does not equal y = 2x + 6

Answer:

4a(a+b−c)Step-by-step explanation:

4a

2

+4ab−4ca

The common factor =2×2×a

Thus, 4a

2

+4ab−4ca

=4a(a+b−c)