Solve for x: 3x-4=2x-10

Answer:

2/5

Step-by-step explanation:

First for the sum:

3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i

Now for the difference

9/5 - 1/5 i - (7/5 - 1/5 i)

= 9/5 - 1/5 i - 7/5 + 1/5 i

= 2/5 , which is the answer :)

The answer is  2/5.

To find the fraction bar in the box.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that:

First for the sum:

3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i

Now substract the sum,

9/5 - 1/5 i - (7/5 - 1/5 i)

= 9/5 - 1/5 i - 7/5 + 1/5 i

= 2/5

So, the answer is  2/5.

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Answer:

19

Step-by-step explanation:

[tex]f(x) =4x^3-8x^2+ax+b[/tex] has a factor [tex]2x-1[/tex] and

when divided by [tex]x+2[/tex], remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

[tex]2x-1[/tex] is a factor

[tex]2x - 1 = 0 \Rightarrow x = \frac{1}{2}[/tex] when we put this value of x to the function, it will become 0.

i.e.

[tex]\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)[/tex]

Remainder is 20 when f(x) is divided by [tex]x+2[/tex]

i.e.

[tex]f(-2) =20[/tex]

[tex]\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)[/tex]

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

[tex]5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}[/tex]

By equation (1):

[tex]a+2(18) = 3\\\Rightarrow a = -33[/tex]

So, the equation becomes:

[tex]f(x) =4x^3-8x^2-33x+18[/tex]

[tex]\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}[/tex]

So, when divided by (x-1), remainder will be 19.

Answer:

6x+2-1x+5=42

Step-by-step explanation:

Answer:

6x+2-x-5=42

Step-by-step explanation:

Answer:

The correct options are:

Four families said they ate out twice the previous week.

One family said they ate out 5 times the previous week.

The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families  

          0                                                          2

          1                                                           3

          2                                                          4

          3                                                           1

          4                                                           2

          5                                                           1

          6                                                            1

Hence, the range of the number line is between 0 to 6.

Also there are 4 dots above 2.

   Hence,  Four families said they ate out twice the previous week.

Also there is one dot above 5.

       Hence,  One family said they ate out 5 times the previous week.

The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?

Tysm!

Answer: The data is skewed left option c

Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.

Answer:

Step-by-step explanation:

A=a(r)^t

a=1

time=2.5 hours=25/10 ×60=150 minutes

10t=150

t=150/10=15

[tex]A=1(2)^{15}=32,768[/tex]

Answer:

[tex]120^{0}[/tex]

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = [tex]90^{0}[/tex] each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × [tex]180^{0}[/tex]

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × [tex]180^{0}[/tex]

                                                = 3  × [tex]180^{0}[/tex]

                                                = [tex]540^{0}[/tex]

Sum of angles in a pentagon is [tex]540^{0}[/tex].

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

[tex]540^{0}[/tex] - (2 × [tex]90^{0}[/tex])  = [tex]540^{0}[/tex] - [tex]180^{0}[/tex]

                       = [tex]360^{0}[/tex]

So that;

the measure of the interior angle = [tex]\frac{360^{0} }{3}[/tex]

                                                        = [tex]120^{0}[/tex]

The measure of one of its three congruent interior angles is [tex]120^{0}[/tex].

[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]

[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]

Answer:

a = 1

Step-by-step explanation:

Given that both ax³ + 3x² - 3 and 2x³ - 5x + a have the same remainder when divided by x - 4.

x - 4 = 0

x = 4

When ax³ + 3x² - 3 is divided by x - 4, the remainder is gotten by substituting x = 4:

a(4)³+3(4)²-3 = 64a + 48 - 3 = 64a + 45

The remainder is 64a³ + 45

For 2x³ - 5x + a we find the remainder by substituting x = 4:

2(4)³ - 5(4) + a = 128 - 20 + a = 108 + a

Since they both have the same remainder, therefore:

64a + 45 = 108 + a

64a - a = 108 - 45

63a = 63

a = 1

Answer:

5040

Step-by-step explanation:

All the possible Numbers that can be placed in the last for places =0,1,2,3,4,5,6,7,8,9

If all the digits  have be different , then

= 10 x 9 x 8 x 7

= 90 x 56

=  5040   are total no. of 4-digit numbers can be made using those 4 digits.

Answer:

34 feet

Step-by-step explanation:

let length of ladder be x

[tex] \ \sin(34) = \frac{17}{x} [/tex]

[tex]x \sin(34) = 17[/tex]

[tex]x = \frac{17}{ \sin(34) } [/tex]

x = 32.131083564

Answer:

El móvil B necesita 60 segundos para alcanzar al móvil A y le alcanza una distancia de 2400 metros con respecto al punto de referencia.

Step-by-step explanation:

Supóngase que cada movil viaja en el mismo plano y que el móvil B se localiza inicialmente en la posición [tex]x = 0\,m[/tex], mientras que el móvil A se encuentra en la posición [tex]x = 1200\,m[/tex]. Ambos móviles viajan a rapidez constante. Si el móvil B alcanza al móvil A después de cierto tiempo, el sistema de ecuaciones cinemáticas es el siguiente:

Móvil A

[tex]x_{A} = 1200\,m+\left(20\,\frac{m}{s} \right)\cdot t[/tex]

Móvil B

[tex]x_{B} = \left(40\,\frac{m}{s} \right)\cdot t[/tex]

Donde:

[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posiciones finales de cada móvil, medidas en metros.

[tex]t[/tex] - Tiempo, medido en segundos.

Si [tex]x_{A} = x_{B}[/tex], el tiempo requerido por el móvil B para alcanzar al móvil A es:

[tex]1200\,m+\left(20\,\frac{m}{s} \right)\cdot t = \left(40\,\frac{m}{s} \right)t[/tex]

[tex]1200\,m = \left(20\,\frac{m}{s} \right)\cdot t[/tex]

[tex]t = \frac{1200\,m}{20\,\frac{m}{s} }[/tex]

[tex]t = 60\,s[/tex]

El móvil B necesita 60 segundos para alcanzar al móvil A.

Ahora, la distancia se obtiene por sustitución directa en cualquiera de las ecuaciones cinemáticas:

[tex]x_{B} = \left(40\,\frac{m}{s} \right)\cdot (60\,s)[/tex]

[tex]x_{B} = 2400\,m[/tex]

El móvil B alcanza al móvil A a una distancia de 2400 metros con respecto al punto de referencia.

Answer:

[tex]\huge\boxed{Option \ C}[/tex]

Step-by-step explanation:

∠CAD is the central angle and ∠CBD is the inscribed/circumference angle which means that

∠CAD = 2(∠CBD)

So, If ∠CBD = 55° then ∠CAD = 110°

Answer:

(2, -7)

Step-by-step explanation:

Answer:

e=-2

Step-by-step explanation:

9e-7e=-11+7

2e=-4

e=-2

Answer:

2

Step-by-step explanation:

Basically,

You just have to find 30% of 15...

So

The formula is...

BASE x PERCENT= AMOUNT

x times 0.3= 15

0.3/15=0.02

0.02 x 100= 2

So

Joey got called back for approximately 2 auditions.

Answer:

9108

Step-by-step explanation:

23^3+(-12)^3+(-11)^3                              remove parentheses

= 23^3-12^3-11^3                                  group difference of two cubes

= (23-12)(23^2+23*12+12^2) + 11^3      factor difference of two cubes

= 11 (23^2+23*12+12^2-11^2)                factor ou 11

= 11(23(23+12) + (12+11)(12-11))              apply difference of two squares

= 11 (23*35+23*1)                                  factor out 23

= 11(23*(35+1))                                       simplify

= 11*23*36                                             convert 11*23 into difference of 2 squares                                                                    

= (17^2-6^2)*6^2                                   expand parentheses

= 102^2-36^2                                       evaluate squares

= 10404 - 1296                                     subtraction

= 9108

(no calculator required)

Answer:

y = 6x -27

Step-by-step explanation:

y-3=6(x-5)

Distribute

y-3 = 6x-30

Add 3 to each side

y-3+3 = 6x-30+3

y = 6x -27

This is in slope intercept form  y=mx+b where m is the slope and b is the y intercept

Hey there! I'm happy to help!

Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.

y-3=6(x-5)

We use distributive property to undo parentheses.

y=3=6x-30

We add 3 to both sides.

y=6x-27

Now, this in slope intercept form.

Have a wonderful day! :D

Answer:

Step-by-step explanation:

136 1/50 % of 231 = 6801/50 % * 231

                             [tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]

                             = 314.2062

Answer:

Ok, we have the function:

y = 2gb*x + 3gb

Where x is the number of streams that you did.

You know that for this function, in a math view, the domain and the range are the set of all real numbers.

(Actually the domain should be integers, but i guess that if you only stream a 0.3534 of a movie and then you quit it, here only consumed 0.3534*2gb, so we can allow x to be a real number)

But in a "real situation", there are some other restrictions:

Restrictions for x:

You can never have a negative value for x (because this has no sense)

So the first restriction is x ≥ 0.

Then, there should be a maximum value of x (you can not stream 4 million things in one month). Or A may be the number of streams that you can watch until you reach the monthly limit of Gbs.

Then the domain is:

0 ≤ x ≤ A.

Now, the minimum of the range is defined by the minimum in the domain:

When x = 0, we have:

y = 2*0 + 3gb

So the minimum value in the range is 3gb.

y ≥ 3gb

And then the maximum value of the range will be when x = A

y = 2Gb*A + 3Gb

3Gb ≤ y ≤ 2Gb*A + 3Gb

a = 18°

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

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 ANSWER WOULD BE TRUE MY FRIEND

Answer:

Jada drank less water than Elina.

Step-by-step explanation:

Water drunk by Elina = 3 liters

Jada drank the water [tex]\frac{3}{4}[/tex] times as much as water as Elina.

Therefore, water drunk by Jada = [tex]\frac{3}{4}\times 3[/tex]

                                                     = [tex]\frac{9}{4}[/tex]

                                                     = 2.25 liters

Lin drank water twice as much as Jada.

Therefore, Lin drank the amount of water = 2 × 2.25

                                                                   = 4.5 liters

Since Jada drank 2.25 liters of water and Elina drank 3 liters

Therefore, Jada drank less water than Elina.

Answer: D. The quadratic function has two distinct real zeros.

There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.

This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.

Answer:

[tex]\boxed{\sf 6.4 \ seconds}[/tex]

Step-by-step explanation:

t = time (s) ⇒ ?

d = distance falling (m) ⇒ 200 (m)

a = acceleration due to gravity ⇒ 9.8 (m/s²)

The time in seconds is not given. Solve for time using the formula.

[tex]t=\sqrt{\frac{2(200)}{9.8} }[/tex]

[tex]t=\sqrt{\frac{400}{9.8} }[/tex]

[tex]t= 6.388766...[/tex]

Round answer to nearest tenth of a second.

[tex]t \approx 6.4[/tex]

Answer:

Step-by-step explanation:

3a - 9= 15

To solve the equation send the constants to the right side of the equation

That's

3a = 15 + 9

simplify

3a = 24

Divide both sides by 3

[tex]\frac{3a}{3} = \frac{24}{3}[/tex]

The final answer is

a = 8

Hope this helps you

Answer:

a = 8

Explanation:

Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.

3a - 9 = 15

3a - 9 + 9 = 15 + 9

3a = 24

Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.

3a = 24

3a/3 = 24/3

a = 8

Since we have fully isolated the variable, a, we have determined its value.

Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.

Answer: Answer Z :)

Step-by-step explanation:

Answer:

4 of the berries will be shaded

Step-by-step explanation:

The model that shows that 4 out of 10 strawberries were eaten is attached.

We have, 4 out of 10 strawberries were eaten in a fruit tray.

Refer to the image attached. This model shows that the 4 out of 10 strawberries were eaten.

Therefore, the model that shows that 4 out of 10 strawberries were eaten is attached.

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