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Answer:

6,10,14

Step-by-step explanation:

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $450 × .055                                   5.5% = as a decimal (.055)

Commission = $24.75

Answer:

x = 2

Step-by-step explanation:

Given:

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table

m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, - 3 ) , then

- 3 = - 6 + c ⇒ c = - 3 + 6 = 3

The y- intercept c = 3 → D

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

Answer:

I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.

Answer:

12

Step-by-step explanation:

4 quest make 1 gallon so 4*3=12

Answer:

Median;$1.35 million

Step-by-step explanation:

You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.

Which measure of center is most appropriate, and what is the value of the measure of center?

median; $1.35 million

mode; $1.5 million

median; $2.15 million

mean; $4.9 million

mean; $5.58 million

Answer: 1.35 is wrong.

Step-by-step explanation:

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Answer:

3.Top: |-80| + |50| = 80 + 50 = 130m

Bottom: same as top

Left: |50| + |-20| = 50 + 20 = 70m

Right: same as left

4.

130m+130m+70m+70m=400m

The perimeter is 400 meters

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

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Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Answer:

B

Step-by-step explanation:

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

Answer:

30:1

Step-by-step explanation:

If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.

Answer:

30

Step-by-step explanation:

What you need to do is add all the sides when you want to find perimeter so for this one you would want to do 8+8+7+7 and that should give you 30. I hope I could help!!

Answer:

Step-by-step explanation:

assuming it is a rectangle, there is no information on the shape of the quadrilateral, add all sides.

7 + 8 + 7 + 8 = 30 units

Answer:

0.83 pounds

Step-by-step explanation:

2.45 take away 1.62

Answer:

I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:

A(x) = ax^3 + bx² + cx+d

A(x) = x^3 + x^2 -4x -4

Step-by-step explanation:

(x+2)*(x+1)*(x-2)      [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]

Multiply this out to get A(x) = x^3 + x^2 -4x -4

Plz post your question now....

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

----------------------

check

26 + 28 = 54

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The value of x is 11.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given equations

5x + 2y =  67

x = 3y - 7

substitute the value of x in equation 1

5(3y - 7) + 2y = 67

15y - 35 + 2y = 67

17y = 67 + 35

17y = 102

y = 6

and x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence value is 11.

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Answer: x = -(8/3)

Step-by-step explanation:

7=3(5+x)

7=15+3x

3x = -8

x = -(8/3)

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20