what is the solution of 2 - 3i and 2 + 3i? ​

Answers

Answer 1

Answer:

Step-by-step explanation:

Multiplying

(2 + 3i)(2 - 3i)

4 - 6i + 6i - 9i^2

4 - 12i + 9

13 - 12i

Add/subtract

2 - 3i + 2 + 3i = 2

2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i


Related Questions

write an equation for the sentence. (Do not use any spaces) six times the sum of a number and five is 16​

Answers

x = a number

6(x+5)=16

Answer:

If you're using x for "a number" then: 6(x+5)=16

Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression could be used to find the combined amount Marcus and Emma have left?

Answers

Answer:

$6.00-($2.00+$4.50)

in other terms, 6 - (2 + 4.5)

Step-by-step explanation:

So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.

To get how much all together, we have to add. 2 + 4.5

Now that we now how to get the total amount, out them in parentheses and add the 6 infront.

Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.

All this leads to the expression: 6 - (2 + 4.5)

Hope this helps :)

Use elimination to solve and match each system of equations to the correct solution.

5x+12y=-34
2x+4y=-12

Answers

Answer:

x = -2 y= -2

Step-by-step explanation:

5x+12y= -34

2x+ 4y = -12

2x= -4y -12

x= -2y -6

plug back in

5(-2y -6) +12y = -34

-10y -30 +12y = -34

2y = -4

y= -2

2x+4y=-12

4y= -2x -12

y= -.5x -3

plug back in

5x+ 12(-.5x-3)=-34

5x -6x -36 = -34

-x = 2

x= -2

Answer:

Step-by-step explanation:

5x + 12y = -34

-6x - 12y = 36

-x = 2

x = -2

5(-2) + 12y = -34

-10 + 12y = -34

12y = -24

y = -2

(-2, -2)

if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___​

Answers

Answer:

Step-by-step explanation:

g(x) = -2x - 4

f(-2x -4)

5(-2x - 4) + 7

-10x - 20 + 7

-10x - 13

Perform matrix subtraction to find the values of w,
x, y, and z.

Answers

Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

The value of the matrix will be   [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

What is the matrix?

A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.

[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]

 

[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

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Fractions and integer operations practice, I need help please.

Answers

40/11 = 3.63
hope this helps

Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please

Answers

Answer:

-2.4

Step-by-step explanation:

distribute the -4 and -2

add 12p to both sides

subtract 12 from both sides

divide

Cuánto mide el lado de un cuadrado si su área es de 20 cm

Answers

Who’s I could help but doing it for points

What is the value of x?
34
56
68
79

Answers

Answer:

The answerer to this question is a 34

Step-by-step explanation:

Answer:

A. 34

Step-by-step explanation:

The graph shows the cost, C, of sending m text messages. What is the cost per message? A. $0.10 per message B. $0.15 per message C. $0.25 per message D. $0.05 per message

Answers

Answer:

$0.15

Step-by-step explanation:

3÷20=$0.15

I hope this helps

The cost per message is $0.15

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, a graph,

The graph is showing a straight line,

Considering a coordinate (3, 20),

That means, they cost $20 for 3 messages.

Therefore, for 1 message = 3/20 = 0.15

Hence, the cost per message is $0.15

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If 3x = 27, then x =

Answers

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?

Answers

Answer:I believe it's 31,771

Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.

Scott earns $31,771 altogether during those three months.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

We have to determine that Scott earn altogether during those three months.

We have been given that in January, Scott earned $8,999.

In February, he earned $2,387 more than in January.

So we have to add the amount of January and 2,387, we get

⇒ 8,999 + 2,387 = 11,386

In March, Scott earned the same amount as in February.

So the amount of March = 11,386

Therefore, He earns altogether during those three months as

⇒ 8,999 + 11,386 + 11,386

Apply the Addition operation in the above expression,

⇒ 31,771

Hence, Scott earns $31,771 altogether during those three months.

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Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:

109

Step-by-step explanation:

To solve you must work backward, she has 8 jars of 13 pieces so first do

8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109

Answer:

109

Step-by-step explanation:

If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.

what is the value of (5.3x10^4)(4.2x10^3)l

Answers

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Solve the equation for the variable. Make sure your answer is in simplest form.

[tex]30x + 18 = 35 - 4x[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.​

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]30x+18=35−4x[/tex]

First of all using the addition property add 4x to both sides

That's

[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]

Divide both sides by 34

That's

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

We have the final answer as

[tex]x = \frac{1}{2} [/tex]

Hope this helps you



vertical translation

horizontal translation

reflection over the x-axis


reflection over the y-axis

Answers

Answer: vertical translation

Step-by-step explanation:

A function is even if:

f(x) = f(-x)

and a function is odd if:

f(-x) = -f(x).

Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).

The correct answer will be a vertical translation, now let's prove it.

when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:

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

Now, let's see if this preserves the symmetry of the original function.

1) if f(x) is even, then:

g(x) = f(x) + A

g(-x) = f(-x) + A

But we know that f(-x) = f(x)

then:

g(-x) = f(-x) + A = f(x) + A = g(x)

this means that g(x) is even, the symmetry of an even function is not affected by this transformation.

Now suppose that f(x) is odd.

Then:

g(x) = f(x) + A

g(-x) = f(-x) + A

and f(-x) = -f(x)

then:

g(-x) = f(-x) + A = -f(x) + A

and this is clearly different than g(x) = f(x) + A.

Then the odd symmetry is broken.

Please hurry! :) Its a get more math question.

Answers

The sales price is 44. 37 dollars.

Answer: $44.37

Step-by-step explanation:

63.38 x 30/100 (or x 0.3)

You save: $19.01

$63.38 - $19.01 = Final price of $44.37

Write two polynomial functions whose quotient will be the same degree as the divisor.

Answers

Answer:

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

[tex]q(x) = 2x - 1[/tex]

Step-by-step explanation:

Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]

Let

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

[tex]q(x) = \frac{f(x)}{g(x)}[/tex]

Where g(x) is the divisor

[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]

Factorize the numerator

[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]

[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]

[tex]q(x) = 2x - 1[/tex]

Notice that: q(x) and g(x) have the same degree of 1

how to solve −3d + 10 = 43

Answers

Answer:

-3d = 43-10

-3d = 33

d = 33/-3

d = -11

Answer:

d = 11

Step-by-step explanation:

Simplifying

3d + 10 = 43

Reorder the terms:

10 + 3d = 43

Solving

10 + 3d = 43

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 3d = 43 + -10

Combine like terms: 10 + -10 = 0

0 + 3d = 43 + -10

3d = 43 + -10

Combine like terms: 43 + -10 = 33

3d = 33

Divide each side by '3'.

d = 11

Simplifying

d = 11

Hope this helps!

All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?

Answers

Answer:

21

Step-by-step explanation:

24 play volleyball

15 play soccer

Softball= 60-(24+15)=21

or

2/5 = 40%

100% -(40+25)= 35%

60x0.35=21

Please help me! I’m stuck - Mathematics

Answers

Answer:

17. 13

18. 3x + 12

19. 1/4

Step-by-step explanation:

17.

[tex]3a + b = 3(5) - 2 \\ = 13[/tex]

18.

[tex]3(x + 4) = 3x + 12[/tex]

19.

[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]

Answer:

Step-by-step explanation:

17. 3(5) + 2 = 15 + 2 = 17

18. 3(x + 4) = 3x + 12

19. 3/(3+4+5)= 3/12= 1/4

What is 4,672.183 rounded to the nearest hundredth?​

Answers

4672.18 is the answer

Answer:

The correct answer is 4,672.18.

Step-by-step explanation:

To solve this problem, we must look at the number we are given and determine what numbers are in which places.  The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.  

The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit.  In the number given, the number 8 is in the hundredths place.  Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place.  This makes our answer 4,672.18.

Hope this helps!

Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help

Answers

Answer:

5/3

Step-by-step explanation:

1.6 repeating is equal to 5/3

The repeating decimal 1.6 can be written as the simplified fraction 5/3.

To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:

x = 1.6

Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):

10x = 16.6

Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:

10x - x = 16.6 - 1.6

This simplifies to:

9x = 15

Finally, divide both sides by 9 to solve for x:

x = 15 / 9

Now, we simplify the fraction:

x = 5/3

Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.

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(6.42)-(-3.2) Btw I need to show my work...

Answers

Answer:

9.62

Step-by-step explanation:

Simplify the expression.

(6.42)+(-3.2)= 9.62

State the y-intercept of the function: f(x) = 3x - 6 *

Answers

The y-intercept is the “b” in the equation, so for this equation it’s -6

Answer:

The y-intercept is -6.

Step-by-step explanation:

1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *

Answers

Answer: Increase

Step-by-step explanation: 18 is greater than 12

Increased because 12 is less than 18

on a time Find the midpoint of segment GL if G (- 2, 46) and L (4, 10). Write your anwer in coordinate pair form (x, y)

Answers

Answer:

(1, 28 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus

midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )

Whats 1+1 ? I need help ASAP im rlly confused

Answers

Answer:

2

Step-by-step explanation:

hold one finger up, and add another, then count how many fingers you have

Answer:

2

Step-by-step explanation:


What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope

Answers

Answer:

y = mx + b

m is the slope and b is the y intercept, if I remember correctly

hope this helps :)

4(2x – 8) = 3(2 – Зх)​

Answers

8x-32=6-9x
8x+9x=6+32
17x=38
x=38/17
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