Multiply and simplify the following complex numbers:
(3 – 4i) · (–3+ 2i)

Answers

Answer 1

Answer:

The answer is -1 + 18


Related Questions

Find the value of x. *

Please help

Answers

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90



The table shows the approximate population of Virginia for 5 years. If the trend continues, which could
be a reasonable prediction if the population in 2012?

Answers

Answer:

It is C

Step-by-step explanation:

Rewrite the function by completing the square
f(x)=x^2-14x+63

Answers

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate:                              f(x) = (x² - 14x) + 63Complete the Square:         f(x) = (x² - 14x + 49) + 63 - 49Simplify:                                f(x) = (x - 7)² - 14

Answer:

-7 and 14 on khan

Please solve, need help quick

Answers

Answer:

In my thought it's angle L

Step-by-step explanation:

Hope it's will help you.

Answer:

it's angle l ..................

Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if the plane is going 75 miles per hour and the body of the plane makes an9° angle with the horizontal.

Answers

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

You and your friend went shopping. You bought 2 hats and 3 pairs of gloves for $28.25. Your friend bought 1 hat and 1 pair of gloves for $12.25. How much did one hat cost? How much did one pair of gloves cost? (Answers should reflect the real world scenario by including appropriate units.)

Answers

Answer:

One pair of gloves costs $3.75.

Step-by-step explanation:

Systems of equations

x=hats y=gloves

2x+3y=28.25  

x+y=12.25

2(12.25-y)+3y=28.25

24.5+y=28.25

y=3.75

A cheesecake recipe says to mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese will be needed for 45 oz of sugar?​

Answers

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the total cost, c(h) of the recording session (in dollars) to the number of hours, (h) needed to record the tracks.

Answers

Answer:

1. $3302. 11.5 hours

Step-by-step explanation:

Continuation of the question:

1. Find c (5) and interpret your solution in the context of the problem 2. Find the value of h when c() = 525 and interpret your solution in the context of the problem

Solution

c(h) = 30h + 180

1 ...............................................

c(5) = 30*5 + 180 = $330

2 ...............................................

525 = 30h + 18030h = 525 - 18030h = 345h = 345/30 h = 11.5 hours

HELP PLZ. ASAP I need an answer.

Answers

Answer:

6.5

Step-by-step explanation:

You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)

6.5 is the total rate of change per months

Jenny is renting a moving truck. She will have to pay a one-time fee for insurance coverage and pay the daily rate for the truck each day she uses it. The total cost of renting the truck in terms of the number of days the move will take can be modeled by the equation: y = 100x + 85. A. What is the slope? B. What is the y-intercept?

Answers

Answer:

Slope is 100

y-intercept is 85

Step-by-step explanation:

The equation of a straight line can be modeled according to the function;

y = mx + c

where m is the slope and c is the y-intercept

comparing what we have ;

y = 100x + 85 with the standard form ;

Slope will be 100 and y-intercept is 85

y+c=14........ solve for y

Answers

Answer:

7+7=14

Step-by-step explanation:

there is no times in it it's just addition so there for you just need to find what adds up to 14

Answer:

y=14-c

this question is weird

He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.

Answers

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

Jill aunt got her a $50 gift card to her favorite boutique she has already picked out 4 shirts that cost $8.00 each how many pairs of shorts can she buy if shorts cost $10 a pair?

Answers

Answer:

1

Step-by-step explanation:

If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts

y + 4 + 2x + 3y

can someone simplify it

Answers

Answer:

2x+4y+4

Step-by-step explanation:

Answer:

y×(1+3)+2×(2+x)

Step-by-step explanation:

y(1+3)+2x+4

2(x+2)

What is the slope intercept

Answers

Answer:

rise is 20 and run is 5 so slope is 4.

I think the slope y-intercept is -5

The graph of a function f is shown below.
Find f(-2).

Answers

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

We kindly invite you to see this problem related to functions: https://brainly.com/question/12431044

Write an equation for the following data plz :)

Answers

Answer:

y = 4x + 1

Y values increase by 4, X values increase by 1.

M or slope, = 4/1 or 4

Y-intercept is when x = 0

When x = 0 in this case, y = 1.

So,

y = 4x +1

Answer:

y = 4x + 1

Step-by-step explanation:

This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.

The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.

2(2x+2)=7x+2-3x+2
solve

Answers

Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

Mr. Wilson divided his money between Dennis and Margaret in the ratio 4:2.
Margaret got the smaller amount of $1256. How much did Dennis receive?

Answers

Answer:

$2512.00

Step-by-step explanation:

if Margaret is = to 2 then Dennis = 4

if Margaret got the smaller amount of $1256 and 2 is multiplied to by 2 to get 4. then all you have to do is multiply Margret's amount by two and then you will get Dennis's amount.

hope this helps

love E

Help please for math

Answers

Answer:

1 5/8 feet/year

Step-by-step explanation:

Height tree grew in 10 years

= 36 3/4-20 1/2

= 16 1/4 feet

Rate tree grew in a year

= 16 1/4÷10

= 1 5/8 feet/year

1 5/8
It’s what they said and I needed some extra points, if this didn’t satisfy you here is a pic of my kitty cat!

#30 PLEASE HELP!! DUE SOON :(

Answers

Answer:

Step-by-step explanation:

Use this to help; starting out, this is coordinate plain, NOT TO SCALE.

Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.

Sorry I couldn't help out more, gotta get back to essay.

3) A cookie recipe calls for 9 cups of flour for 4
batches of cookies. How many cups of flour
per 1 batch of cookies? How many cups of
flour are needed for 11 batches of cookies?

Answers

Can I have a cookie????

5. Jordan works at the car wash a few hours a week and works mowing lawns for extra money.
Because of his schoolwork, he can't work more than 10 hours per week. Write a rule to see possible
solutions for his work schedule. Let x represent hours at the car wash, and y represent the hours
mowing lawns.

Answers

Answer:

The rule is

x + y ≤ 10

Step-by-step explanation:

Here, we want to write a rule that can help get solutions for the individual work hours

The number of hours for car wash is x while the number of hours for mowing lawns is y

Since he cannot work more than 10 hours, he can still work less than 10 hours

What we just have is that the addition of both working hours must not be over 10

So the rule to write is;

x + y ≤ 10

The parabola with equation $y=ax^2+bx+c$ is graphed below:

(attached)

The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?

Answers

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

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

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

I will give Brainlyest to the person who is first




After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to

Answers

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

suppose an elevator starts at the top floor of a high rise building at a height of 500 feet above the ground floor and descends without stopping at a rate of 17 seconds
Write a function that describes the height, h of the elevator after t seconds in function form

Answers

Answer:

answer is in the picture

Step-by-step explanation:

hope this helps

Explain why the exponents cannot be added in the product 12^3 x 11^3?? I need a simple answer that won’t be confusing pls.

Answers

Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

Help me pleade help me​

Answers

The answer is C.

For a relation to be a function every x-value must be associated with one y-value. C has the x-value of 1 have two separate y-values. The others do not have an x-value that repeats.

3/13% of a quantity is equal to what fraction of the​ quantity?

Answers

Answer: 3/1300

Sorry I’m late !!

What is the domain of the following function? Show work
f(x)=(2x-1)/((2x^2)-9x+10)

Answers

Step-by-step explanation:

f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10

= 2X-1 ) /( 2X- 5 ) ( x - 2 )

set of zeros of denominator are :

2X- 5 . = 0

X= 5/2

or

X-2=0

X=2

set of zeros of denominator = { 5/2 ,2 }

domain = R - { 5/2,2 }

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