simplify the expression (3+4i) - (1-5i)

Answer:

I can't help but I hope you succeed

Answer:

1.) Reflect across x-axis

2.) Reflect across y-axis

3.) Move to the right by one unit

Step-by-step explanation:

The reflection rule is ''about the origin''.

Used the concept of reflection that states,

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the origin, the x-coordinate and y-coordinate do not change places and are negated.

Given that,

Two figures VWGY and V'W'G'Y' is shown in the figure.

From the figure,

V = (0, - 2)

W = (- 1, 0)

G = (2, 0)

Y = (5, - 4)

V' = ((0,  2)

W' = ( 1, 0)

G' = (- 2, 0)

Y' = (- 5, 4)

Hence the coordinate satisfies the rule (x, y) → ( - x, - y).

So, the reflection rule is about the origin.

To learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ4

Answer:

64 is the answer

Step-by-step explanation:

p / 4 = 16

p = 16 x 4

p = 64

Answer:

Option A

Step-by-step explanation:

multiple each coordinate by 1/2

Step-by-step explanation:

Let S be the sample space

S={HH, HT, TH, TT}

n(S)= 4

A: both the coins with some place

B: both the coins with different place

C:at least one tail

D:at the most one head

1) A={TT,HH}

n(A)=2

P(G)= n(A)/n(S)

= 2/4

= 1/2

2) B ={HT, TH}

n(B) = 2

P(B) = n(B)/n(S)

= 2/4

= 1/2

3) C= {HT, TH, TT}

n(C)=3

P(C) = n(C)/n(S)

= 3/4

4). D={HT, TH}

n(D) = 2

P(D) = n(D)/n(S)

= 2/4

=1/2

Answer:

[tex]1\frac{1}{2}[/tex] hours per acre

Step-by-step explanation:

Unit rate in hours per acre = Total hours ÷ acres

                                            = [tex]4\frac{1}{8}[/tex] ÷ [tex]2\frac{3}{4}[/tex]

                                             [tex]=\frac{33}{8}[/tex] ÷ [tex]\frac{11}{4}[/tex]

                                             [tex]= \frac{33}{8}*\frac{4}{11}\\\\= \frac{3}{2}\\\\= 1\frac{1}{2}[/tex]

Answer and Step-by-step explanation:

I think you have to factor the expression.

You can take out [tex]a^3[/tex], to get the expression:

[tex]a^3(10a^6-33)[/tex] <- Answer.

When multiplying values with exponents, the exponents add together, and when dividing values with exponents, the exponents subtract from each other.

In this situation, we divided [tex]a^3[/tex] from the expression, with the expressions having exponents of 9 and 3. We subtract 3 from 9 and 3 from 3, resulting in the 6 and 0 (not shown because it isn't needed to show).

#teamtrees #PAW (Plant And Water)

Answer:

2:3

Step-by-step explanation:

Answer:

CB = 17

Step-by-step explanation:

This is an isosceles triangle so AC = AB

x+9 = 2x-8

Subtract x from each side

x+9-x =2x-8-x

9 = x-8

Add 8 to each side

9+8 = x-8+8

17 = x

CB = x

CB = 17

Step-by-step explanation:

I don't know, if I see the full picture. I see only 2 diagrams.

since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.

and something might be wrong with your translation description.

but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.

Answer:

Step-by-step explanation:

The trick here is to make sure that the units are standard units, like miles / hour.

10 minutes = 10 / 60 hours.

k = 1/6 of an hour

y = k x

k = y/x

k = 8 miles / 1/6 of an hour

k = 8 * 6 // 1/6 * 6

k = 48 miles / hr

y = k x

y = 48 * x

Answer:

Expectancy theory

Step-by-step explanation:

We are told that as long as he receives C grades or better, he maintains his current grade point average.

This means that;

There is a large tendency for him to work just hard enough to earn a c grade.

This depicts vrooms expectancy theory of motivation which is defined as a theory whereby a person or persons will act in a particular way just for the sake of what they will gain from exhibiting that particular selected behavior instead of others.

Answer:

1/18 pound each

Step-by-step explanation:

Take the number of pounds and divide by 12 people

2/3 ÷12

Copy dot flip

2/3 * 1/12

Rewriting

2/12 * 1/3

1/6 * 1/3

1/18 pound each

Answer:

Each person will get 1/18 pounds of spice from the bag

Step-by-step explanation:

Divide 2/3 by 12:

Make 12 a fraction by adding 1 as the denominator:

2/3 ÷ 12/1

Reciprocate the second fraction:

2/3 ÷ 1/12

Turn it into multiplication:

2/3 x 1/12 = 2/36

SIMPLIFY 2/36:

2/36

Divide both sides by 2:

1/18

so your answer is 1/18

I hope I helped!

Answer:

y = -5x - 1

Step-by-step explanation:

NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).

The formula for calculating slope-intercept form is y = mx + b.

Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b

4 = 5 + b

Subtract 5 from both sides.

So, -1 = b.

Now substitute the slope for m and -1 for b.

y = -5x + -1

= y = -5x - 1

Answer:

b. y = x + 3

e. y = 2x + 5

Step-by-step explanation:

here is your formula: y = mx + b

x is your slope and b is your y-intercept

Hope this helps

Answer:

Step-by-step explanation:

With an eight team round robin, 28 games will be played in total (The total edges in K8). Since each game will produce two points regardless of outcome, 56 total points will be shared among the eight teams. In the absence of a well-defined tie breaking system, we assume that ties do not qualify as a guarantee. We define a team's point total as "ensuring" fourth place when the fifth place team could not possibly have that many points.

Ten points are not enough and eleven points must be enough. In one extreme case, teams A,B,C,D and E all draw each other and win against F,G, and H (who also draw each other), giving a fifth place team with ten points. If we have a fifth place team with eleven points then teams A,B,C,D, and E share at least 55 points, meaning teams F,G, and H share at most one point. However, F,G, and H play each other and must share at least six points, a contradiction. Therefore, 11 points guarantees fourth place at a minimum.

Answer:

[2 , ∞)  

Step-by-step explanation:

y = sqrt( x-2)

The domain is the values that x can take

Since we have a square root

Domain: [2 , ∞)  since the square root must be greater than or equal to zero

The range is the values that y can take

The square root starts at 0 and increases

Range [0,∞)

The inverse swaps the domain and range

Range: [2 , ∞)  

Domain [0,∞)

Answer: it’s A on here but check which is A on your test

Step-by-step explanation:

Answer:

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Step-by-step explanation:

The ratios are 5x + 9x + 6x

5x + 6x = 11x

Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.

11x = 44            Divide by 11

x = 44/11

x = 4

Colin gets 9x

x = 4

9*4 = 36

Colin gets 35 pounds.

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Caroline and Sarah get 20 + 24 = 44

Answer:

Step-by-step explanation:

The relation will be a function as long as none of the x values are repeated or "used" more than once. Let's state the domain (the x values) to make this determination. Domain and range are both stated in order from least to greatest, no repeats allowed (so if there is one, we won't list it but will make note of it if the repeated value is an x value. The y values can repeat all they want!)

D = {-7, -6, -2, 3, 8} That's the domain and there were no repeats, so this IS a function.

R = {2, 3, 4, 5} Notice that 5 is a y value in 2 of the coordinates, but no repeats allowed so we only list it once.

Answer:

C.

Step-by-step explanation:

+4 in the function means the graph crosses the y axis at +4

Answer:

C)

Step-by-step explanation:

See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.

Answer:

Least number is 60.

Step-by-step explanation:

Let the number of CDs has Jo be represented by x + 10. Where x = 0, 1, 2, 3....

Then, since Ken has twice as many CDs as Jo, the number of CDs that Ken has can be expressed as;

 2(x + 10) = 2x + 20

Maisie has three times as many CDs as Ken, then the number of CDs that Maisie has can be expressed as;

3(2x + 20) = 6x + 60

Thus to determine the least number of CDs that Maisie can have, let x = 0.

3(2x + 20) = 6x + 60

                 = 6(0) + 60

                 = 60

Therefore, the least number of CDs that Maisie can have is 60.

32 km/h

Step-by-step explanation:

Davit's Train travels at 108 km/h

Mila's train travels at 140 km/h

140-108=32

Therefore the difference in their average speed is 32 km/h

Answer:

Hope it helps

Option (C) is correct answer

Answer:

x= -2, -3

Step-by-step explanation:

I think you meant x^2+5x+6

(x+2)(x+3)

x= -2,-3

Answer:

The mistake was minus sign before the 15 and putting 15x² instead of 15x³.

The correct answer is:

[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]

Answer:

given function has 2 minimums - [tex]\frac{9}{4}[/tex]  and  [tex]\frac{9}{4}[/tex]  

Step-by-step explanation:

Step 1. g'(x) = 4x³ - 10x

Step 2. Find find the critical points:

4x³ - 10x = 2x(2x² - 5) = 0

[tex]x_{1}[/tex] = - [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]x_{2}[/tex] = 0 , [tex]x_{3}[/tex] = [tex]\sqrt{\frac{5}{2} }[/tex]

Step 3. g'(x) > 0 :  - [tex]\sqrt{\frac{5}{2} }[/tex] < x < 0  or  x > [tex]\sqrt{\frac{5}{2} }[/tex]

g'(x) < 0 :   x < - [tex]\sqrt{\frac{5}{2} }[/tex]   or   0 < x < [tex]\sqrt{\frac{5}{2} }[/tex]

Step 4.

If x ∈ ( - ∞ , - [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;

If x = - [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;

If x ∈ ( - [tex]\sqrt{\frac{5}{2} }[/tex] , 0 ) , g(x) is increasing ;

If x = 0 , g(x) has maximum value ;

If x ∈ ( 0 , [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;

If x = [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;

If x ∈ ( [tex]\sqrt{\frac{5}{2} }[/tex] , ∞ ) , g(x) is increasing .

⇒ at ( - [tex]\sqrt{\frac{5}{2} }[/tex] , - [tex]\frac{9}{4}[/tex] ) and at ( [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]\frac{9}{4}[/tex] ) , g(x) reaches its minimum

Answer:

c)( 7x+3)/4

Step-by-step explanation:

c) (7x+3)/4