What is the real part of 4 - 5i

Answer:

A

Step-by-step explanation:

● -7x > 21

Divide both sides by 7

● -7x/7 > 21/7

● -x > 3

Multiply both sides by -1 and switch the sign since you have multiplied by a negative number.

● x < -3

The representation is A since -3 is represented by an empty dot ○ wich means it's out the solutions

The solution to the given inequality -7x/7 > 21/7 is x < -3 which is the correct answer that would be option (A).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question

⇒ -7x > 21

Divide both sides by 7 both sides of the above inequality

⇒  -7x/7 > 21/7

⇒  -x > 3

Multiply both sides by -1 and because we multiplied by a negative quantity, flip the sign.

⇒  x < -3

The representation is A because -3 is represented by an empty dot which shows the solution of the graph.

The required graph has been attached which represents the solution to the given inequality -7x/7 > 21/7 is x < -3

Hence, the correct answer would be an option (A).

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

2/5 ±i4/5sqrt(6)= t

Step-by-step explanation:

20= 4t -5t^2

Rewriting

20 = -5t^2 +4t

Divide by -5

20 = -5t^2 +4t

20/-5 = -5/-5t^2 +4/-5t

-4 = t^2 -4/5 t

Complete the square

Take the coefficient of t

-4/5

Divide by 2

-4/10 = -2/5

Square it

(-2/5)^2 = 4/25

Add to each side

-4 +4/25 = t^2 -4/5 t + 4/25

-100/25+4/25 = ( t-2/5)^2

-96/25 = ( t-2/5)^2

Take the square root of each side

sqrt(-96/25) = sqrt(( t-2/5)^2)

±isqrt(96/25)=( t-2/5)

±i4/5sqrt(6)=( t-2/5)

Add 2/5 to each side

2/5 ±i4/5sqrt(6)= t

Answer:

The equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is;

S + 429 = 85 × 6

Step-by-step explanation:

The parameters given are;

The scores earned by Mele on the first five test in Economics II are;

75, 70, 92, 95, and 97 points

The total test points = 429 points

Therefore, the score, S, Mele needs to earn on the 6th test for him to get an average of exactly 85 points for the 6 tests is found as follows;

From the definition of average, μ = (Sum of data values)/(Number of data)

Sum of data values = S + 429

The number of data = 5 test + 6th test =  6

μ = 85 = (S + 429)/6

Therefore;

S + 429 = 85 × 6

Therefore, the equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is S + 429 = 85 × 6.

Answer:

The coordinates of A'C'S'T' are;

A'(-7, 2)

C'(-9, -1)

S'(-7, -4)

T'(-5, -1)

The correct option is;

B

Step-by-step explanation:

The coordinates of the given quadrilateral are;

A(-3, 1)

C(-5, -2)

S(-3, -5)

T(-1, -2)

The required transformation is T₍₋₄, ₁₎ which is equivalent to a movement of 4 units in the leftward direction and 1 unit upward

Therefore, we have;

A(-3, 1) + T₍₋₄, ₁₎ = A'(-7, 2)

C(-5, -2) + T₍₋₄, ₁₎ = C'(-9, -1)

S(-3, -5) + T₍₋₄, ₁₎ = S'(-7, -4)

T(-1, -2) + T₍₋₄, ₁₎ = T'(-5, -1)

Therefore, the correct option is B

Answer:

This is poorly written, so i will answer it as it was:

"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of  A, followed by a translation 2 units up of the graph of f."

I don't really know what you do mean by I2), so i will answer it in a general way.

First, we do a vertical shrink of factor A.

A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:

g(x) = A*f(x)

As 0 < A < 1

We will have that the graph of g(x) is a vertical compression of the graph of f(x)

Now we do a vertical shift of 2 units up.

A general vertical shift of N units up is written as:

g(x) = f(x) + N

Where N is a positive number.

So in our case, we have:

g(x) = A*f(x) + 2.

Where you will need to replace the values of A and f(x) depending on what the actual question says,

Answer:

x = 96

Step-by-step explanation:

3/8x = 36

You have to multiply both sides of the equation by the inverse of the fraction to cancel it out.

(8/3)(3/8x) = (36)(8/3)

x = 96

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

[tex]\frac{3}{8}x=36[/tex]

Step 1: Multiply both sides by 8/3.

[tex]( \frac{8}{3} ) * ( \frac{3}{8}x) = ( \frac{8}{3} ) * ( 36)\\x = 96[/tex]

Answer : [tex]\boxed {x = 96}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

Step-by-step explanation:

Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number

say in our given example $2.05.

When we decide to multiply 3 property with $2 and $0.5 which when added together will still give  $2.05, we are using distributive property of multiplication.

Hence according to distributive property 3*$2.05 is the same as

3*$2 + 3*$0.5

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

5x - 2(2x-2) = 2(3x - 1) + 7/2

= 5x - 4x + 4 = 6x - 2 + 7/2

= 5x + 4 = 10x - 2 + 7/2

= 5x + 6 = 10x + 7/2

= 5x + 2.5 = 10x

= 2.5 = 5x

Thus, x = 1/2 or 0.5

Hope this helps!

Answer:

8, 19

Step-by-step explanation:

let group 1 have x students and group 2 have y students

x + y = 27

but group 2 has 2x + 3 students

the sum of students from both groups is 27

x + 2x + 3 = 27

3x + 3 = 27

3x = 24

x = 8

y = 2x + 3

y = 19

Answer:

[tex]\Large \boxed{\mathrm{( - \infty, \frac{17}{3}) }}[/tex]

Step-by-step explanation:

[tex]2x-5\leq -x+12[/tex]

Add x and 5 on both parts.

[tex]2x+x\leq 12+5[/tex]

Combine like terms.

[tex]3x\leq 17[/tex]

Divide both parts by 3.

[tex]\displaystyle x \leq \frac{17}{3}[/tex]

Answer:

Option D

Step-by-step explanation:

Option D's equation is in slope-intercept form. Slope-intercept form equations are used for linear functions.

Nonlinear functions would have an exponent (that is higher than 1), 'x' as an denominator in a function, or a square/cube root symbol in it's equation.

Option D should be the correct answer.

Hope this helps.

Step-by-step explanation:

phukan = x

Nanwan = y

let this be a simultaneous equation.

x - y = 18.... equation i

x + y = 100.... equation ii

subtract equation i from equation ii

= 2y = 118

y = 59

substitute y = 59 in equation ii to get x

x + 59 = 100

x = 100- 59

x = 41

Nanwan = 59, Phukan = 41

Answer:

Nawman = 59 years

Phukan = 41 years

Step-by-step explanation:

P = N - 18

P + N = 100

(N - 18) + N = 100

2N = 100 + 18

2N = 118

N = 118 : 2

N = 59 years

P = (59 - 18) years

P = 41 years

Answer:

0.46 feet

Step-by-step explanation:

Length = 5/6 feet (or 0.254 m)

Width = 3/8 feet (or 0.114 m)

(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)

Answer:

Question 1: d ≥ 4  or  d ≤ -8

Step-by-step explanation:

Question 1 Solve the inequality. |d + 2| ≥ 6

d + 2 ≥ 6  or  d + 2 ≤ -6

d ≥ 4  or  d ≤ -8

Answer:

a = 84°

Step-by-step explanation:

∠ QPR and ∠ TPR are adjacent and supplementary, thus

∠TPR = 180° - 123° = 57°

Given there are parallel lines , then

∠ PTR = 27° ( alternate angle )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ TRS is an external angle , thus

∠ TRS = a = 57° + 27° = 84°

Answer:

84 degrees.

Step-by-step explanation:

m < R + m < T = 123  (External angle of a triangle theorem)

m < T =  27 degrees (alternate angle to 27 degrees).

So m < R = 123 - 27 = 96 degrees.

Finally m < a = 180 - 96 = 84 degrees  ( as it is adjacent to < R)

Answer:

Sin

Step-by-step explanation:

Sin < = opposite/hypotenuse

Answer:

[tex]\Huge{\fbox{\red{Attachment}}}[/tex]

#Be Brainly

Answer: do do that you need a firm understanding of trig. once you do, you can see all the steps and solve a trig proof problem easily. So go back to solving regular trig questions, and keep asking yourself why this formula works. once you have understanding of that, you can solve trig proof problems with ease.

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

To find the total percentage of his $60 dollars that he spent on fruit, we simply take the amount of money spent on fruit divided by the total spent.

% spent on fruit = 42 / 60

% spent on fruit = 0.7

% spent on fruit = 70 %

Cheers.

Answer:

70%

Step-by-step explanation:

so he spent 42/60

lets simplify by dividing on both sides by 2

21/30

then divide by 3

7/10

which is also 70/100

so 70%

yaaaaayyyy we r done!!!!!!!!!

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

  ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                 PEACE!

Answer: It is false, the diameter is not 16 m.

Step-by-step explanation:

P 4m are 8 m are 32 m away. The diameter= 32 m.

(I hope its rights!!!)

Answer:

A and D choices (Plato)

Step-by-step explanation:

The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:

100(12) − 200(0) = 1,200.

The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:

100(0) − 200(12) = -2,400.

Both of these scores are possible in the game, so they are both viable.

Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.

In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.

Answer:

Pregunta 1: Opcion D. 8

Pregunta 2: Opción A. 19 (aunque lo correcto es decir que son 20)

Pregunta 3: 28 años (no está como opción)

Pregunta 4: Opción D. 1/3

Step-by-step explanation:

Las fracciones irreductibles son aquellas que después de dividirlas por un común divisor, una vez que no se pueden dividir más se dice que son irreducibles, por lo tanto no existe ningún número que sea divisor común del numerador y del denominador más que 1.

Fracciones irreductibles con común denominador 24.

Como máximo divisor tenemos el 24 y como mínimo el 1

entre 1/24 y 1 estarán nuestras fracciones o sea:

1/24 < x/24 < 1. Ahora convertimos el 1 en fracción de 24, lo que sería 24/24 para igualar el numerador en ambos lados de la ecuación, para poder determinar x

1/24 < x/24 < 24/24

Como vemos que x tiene que estar entre 1 y 24, las respuestas serán:

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 y 23

Eliminamos los números divisores de 24, aquellos pares, y nos focalizamos en los que no podriamos dividir por nada con 24, o sea los números primos

5, 7, 11, 13, 17, 19, 23. Como nos falta el 1, obtenemos un total de 8 fracciones: 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24

Mismo procedimiento para el 25:

1/25 es una de las fracciones irreductibles. Pensamos en los valores de x

1/25 < x/25 < 25/25

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Los números divisibles por 25, son los multiplos de 5, asi que esas respuestas no irían. Las fracciones irreductibles son:

1/25, 2/25, 3/25, 4/25, 6/25, 7/25, 8/25, 9/25, 11/25, 12/25, 13/25, 14/25, 16/25, 17/25, 18/25, 19/25, 21/25, 22/25, 23/25 y 24/25 haciendo un total de

20. Por alguna razón está mal formulada la pregunta, son 20 pero no está como opción y como te piden fraccion impropia (numerador > denominador), contamos a partir de 26. FIjate que hasta el proximo entero que sería 50/25, también son 20 fracciones (irreductibles e impropias)

26/25, 27/25, 28/25, 29/25, 31/25, 32/25, 33/25, 34/25, 36/25, 37/25, 38/25, 39/25, 41/25, 42/25, 43/25, 44/25, 46/25, 47/25, 48/25, 49/25

Próxima pregunta:

Miguel tiene 4/5 de la edad de la novia, y ambas edades suman 63.

Plantiemos la siguiente ecuacion donde x es la edad de la novia

4/5x + x = 63

9/5x = 63

x = 63 . 5/9 (como 9/5 pasa al otro lado de la igualdad dividiendo, damos vuelta la fraccion multiplicandola)

x = 35

Si la novia tiene 35 años y la edad de Miguel es 4/5 de esa edad

4/5 .35 = (35 .4) /5 = 28

Es raro porque no está la respuesta como tal.

Próxima pregunta:

Al ser las 8 am, quiere decir que han pasado 8 horas de que empezó el día

y el día tiene 24 horas.

8 horas transcurridas / 24 horas totales = 1/3

Answer:

x = -13

Step-by-step explanation:

2x-3x+5=18

Combine like terms

-x +5 = 18

Subtract 5 from each side

-x +5-5 = 18-5

-x = 13

Multiply each side by -1

x = -13

Answer:

[tex]\huge \boxed{{x=-13}}[/tex]

Step-by-step explanation:

[tex]2x-3x+5=18[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]-1x+5=18[/tex]

[tex]\sf Subtract \ 5 \ from \ both \ sides.[/tex]

[tex]-1x+5-5=18-5[/tex]

[tex]-1x=13[/tex]

[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]

[tex]-1x \times (-1)=13 \times (-1)[/tex]

[tex]x=-13[/tex]

Answer:

Started- 1200BC

Moses wrote the book of Torah.

Ended- 96 CE

John wrote the last book, The book of 'revelation'

Step-by-step explanation:

It took 1400 years to write it.

40 people around 38 people wrote the Bible even though the main author of the book is Holy Spirit.

The Bible has 2 sections:

Old testament

Consists of 39 books.

Also referred to as taNaK which means the 'old testament' in Hebrew.

Based on the first five books of the testament (Torah or Pentateuch)

Written before the birth of Jesus Christ.

New testament

Consists of 27 books.

Written after the birth of Jesus Christ.

Based on the teachings and life of Christ (The Gospel).

Apocrypha:

Written between the Old testament and the New Testament.

Some denominations of Christianity don't believe in the Apocrypha.

Took 400 years to write it.

Hope this helps ;) ❤❤❤

Answer:

k Nishant

Step-by-step explanation:

The Old Testament is the original Hebrew Bible, the sacred scriptures of the Jewish faith, written at different times between about 1200 and 165 BC. This your answer

Answer:

28

Step-by-step explanation:

[tex]4 {x}^{2} + - - x + 49 \\ this \: is \: the \: expanded \: form \: of \\ {(2x + 7)}^{2} = 4 {x}^{2} + 28x + 49[/tex]

Answer:

[tex]\huge \boxed{28}[/tex]

Step-by-step explanation:

The trinomial is a perfect square.

Take the square root of the first term and the last term.

[tex](\sqrt{4x^2}+\sqrt{49})^2[/tex]

[tex]\sqrt{4x^2}=2x\\ \sqrt{49} =7[/tex]

[tex](2x+7)^2[/tex]

Expand to find the second term of the trinomial.

[tex](2x+7)(2x+7)\\2x(2x+7)+7(2x+7)\\4x^2 +14x+14x+49\\4x^2 +28x+49[/tex]

The second term of the trinomial is 28x.

Answer:

7x+14

Step-by-step explanation:

The distributive property is when you multiply the number on the outside of rhe parenthesis with the numbers on the inside.

In this case it will be 7×x and 7×2

7(x+2)=7x+14

Answer: g(x) f(x) h(x)

Step-by-step explanation:

The order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is is g(x) >f(x) > h(x)

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

It is a measure of how much the function changed per unit, on average, over that interval.

Given,

[tex]f(x) = 16(\frac{1}{2})^{x}[/tex]

interval = [0,3]

[tex]f(0)= 16(\frac{1}{2})^{0} =16 \\f(3)= 16(\frac{1}{2})^{3} =2[/tex]

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change= [tex]\frac{2-16}{3-0}=-4.67[/tex]

Consider the function g(x)

g(0)=21

g(3)=1

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{1-27}{3-0}=-8.67[/tex]

Consider the exponential function

at x=0 the exponential function h =4

at x=0 the exponential function h =-3

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{-3-4}{3-0}=-2.33[/tex]

Hence, the order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is g(x) >f(x) > h(x)

Learn more about Function, Exponential function and Average rate of change here

https://brainly.com/question/14696518

#SPJ2