Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:

A=

B=

Using linear functions, it is found that the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

Linear equation A is given by:

[tex]y = \frac{4}{5}x[/tex]

Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:

[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]

Equation A has a higher slope, hence, it is steeper, and the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A similar problem is given at https://brainly.com/question/20386726

Answer:

x=13

Q=30

P=126

R=24

Step-by-step explanation:

To find x put them all into an equation like this:

(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)

calculate and you'll get x=13.

then to find each angle just put 13 in place of x

4(13)-22=30

10(13)-4=126

(13)+11=24

Answer:

When the base is less than 1 it's Decay

When the base is greater than 1 it's Growth

Answer:

14 yd²= 126 ft²

5.4 cm² = 540 mm²​

Answer:

how am I supposed to graph?

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

f(0) =  5(0) -6

f(0) = -6

Answer:

see below

Step-by-step explanation:

You're doing well!  The parts of the table you've done are correct.

For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].

x =1 :   6 - 2(1) = 4   (1, 4)

x = 2:  6 - 2(2) = 2   (2, 2)

x = 3:  6 - 2(3) = 0   (3, 0)

x = 4:  6 - 2(4) = -2  (4, -2)

Each of the parts of the function rule graph as pieces of straight lines.  The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4).  Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.

Answer:

Step-by-step explanation:

Answer:

The most she can spend on each blank shirt is $5.50.

Step-by-step explanation:

In order to set up the inequality, we need to write an expression for the total cost of each shirt wherein the price of each blank shirt is "x". Tina needs to buy 12 shirts and there is an additional charge of $2.75 for each logo. The total cost needs to be less than or equal to $99.

This gives us 12 * (x + 2.75) ≤ 99

We can then distribute:

12x + 12 * 2.75 ≤ 99

12x + 33 ≤ 99

Then subtract 33 from both sides:

12x ≤ 66

And finally divide by 12 on both sides:

x ≤ 5.5

Answer:

Step-by-step explanation:

12x + 2.75*12 < 99             Combine 12 * 2.75

12x + 33 < 99                     Subtract 33 from both sides

12x < 99 - 33                      Combine

12x <66                               Dive by 12

x < 66/12

x < 5.50

The very most she can spend is 5.50 on each shirt. Actually it should be 5.49 which will be less than 99. It will come to 65.88 which is just 12 cents less than 99, but it answers the problem. The problem does not use less than or equal which would mean that 99 is the answer ≤

Answer:

5 $3.00

Step-by-step explanation:

For every 5 apples, the cost is $3.00

Answer:

x = 2

y = -7

Step-by-step explanation:

First, we see that all the terms in the first equation can be divided by 7:

-x + y = - 9

Then we solve for x by adding adding x and 9 to both sides:

-x + x + y + 9 = -9 + 9 + x

it cancels out to:

y + 9 = x

Now, replace x in the second equation with (y + 9):

28(y + 9) - y = 63

Now simplify:

28(y) + 28(9) - y = 63

27y + 252 = 63

27y = 63 - 252

27y = -189

y = -7

Plug in the value for y in the equation for x:

y + 9 = x

-7 + 9 = x

x = 2

Answer:

-7x +7y = -63(i)

28x -y = 63 (ii)

Divide eq(i) by 7

-x + y = -9 (iii)

28x -y= 63 (ii)

Add (iii) and ii

-x + y = -9

28x - y = 63

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

-x +28x +0 = -9 +63

27x = 54

●x = 2

Put x=2 in any eq..

Lets put in eq[i]

-7 (2) + 7y =-63

-14 + 7y = -63

7y = -63 +14

7y=49

●y=7

BRAINLIST PLS

30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

The area of Rectangle is length times of width.

Given,

A rectangle has one side of 10cm

We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm  and increasing at 3cm per minute

This can be written as A=10x

Now differentiate with respect to t.

dA/dt=10 dx/dt

increasing at 3cm per minute

dx/dt=3

dA/dt=10 (3)

dA/dt=30

Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ5

Answer:

All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.

Step-by-step explanation:

Answer:

51 53 57 59 61 69 71 73 these are the prime numbers

Answer:

7/13

Step-by-step explanation:

You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!

1 6/7 = 13/7

Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!

I hope this helps you!

Answer:

the answer is 14

Step-by-step

multiply 2x7

Answer:

We'll calculate ru:

RU^2 = 65^2 - 52^2

RU^2 = 1,521

RU = 39

SU^2 = 89^2 -39^2

SU^2 = 7,921 - 1,521

SU^2 = 6,400

SU = 80

Step-by-step explanation:

Answer:

(E). (33/2)π + 18  

Step-by-step explanation:

The reflex angle = 360 - 30 = 330 degrees.

Length of the curved part = (330/360) * 2π*9 = 33π/2.

The length of the straight lines = 9 + 9 = 18

So the required perimeter = 18 + 33π/2

Answer:

The answer is 3

Step-by-step explanation:

It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B

Answer:

No solutions

Step-by-step explanation:

We can go through this one step at a time to figure out what M is equivalent to. First, let's write out our whole equation:

3 + 2M = 10 - 6 + 2M

I always like to combine like terms first. It looks like there are two like terms on the right side of our equation... 10 and -6. I can combine those to get 4. Now I have the following equation:

3 + 2M = 4 + 2M

Now, let's remove 2M from both sides.

3 + 2M - 2M = 4 + 2M - 2M

3 ≠ 4

We got an answer of 3 = 4, which is not true (that's why I put a ≠ between them instead of a =). What do we do with this information? Well, since we got an untrue statement as an answer, we know that no number is equivalent to M, or, there are no solutions.

Hopefully that's helpful! :)

Answer:

There are no values of  M  that make the equation true.

Step-by-step explanation:

Answer:

Ravi burned 867.7 more calories today than he did yesterday.

Step-by-step explanation:

To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.

To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.

Answer:

4

Step-by-step explanation:

rule 1 positive + positive= positive

rule 2 negative plus negative = negative

two more than triple a number is fourteen might be 2×7=14

Answer:

4 duhh... Ur kidding me??

Answer:

22 because 2+2

Step-by-step explanation:

if we put 2 near 2 it will be 22 so the answer is 22

Answer:

x=121

Step-by-step explanation:

Answer:

x = 121°

Step-by-step explanation:

180 - 115 = 65°

The angle beside 115° is 65°.

A full circle is 360° so

360 - 304 = 56°

Add the two angles

65 + 56 = 121°

Subtract it to 180° to find the other angle

180 - 121 = 59°

Now subtract again to 180° to find the angle in the other side

180 - 59 = 121°

Answer:

10

Step-by-step explanation:

The mapping of the strip pattern onto itself is a Glide reflection.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Glide reflection is a combination of reflection over a line and then translation along that line.

As we can see, the mapping of the strip pattern onto itself is a Glide reflection.

Find out more at: https://brainly.com/question/25442628

Answer:

A: Half-turn

Step-by-step explanation:

i took the test and got it wrong due to the wrong answer above.

Answer:

Step-by-step explanation:

The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x

The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.

In this question

H( x) = x ^2

So if you see anything besides x on the left, then that's what goes on the right for x.

H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a

You can expand this, but I don't see a reason for doing it.

H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.