PLEASE ANSWER AND EXPLAIN!!

Answer:

2. 4x³ - 2x² + 4y

3. (2x+3)(2x−5)² (To expand, it would be 8x³ - 28x² - 10x + 75)

Step-by-step explanation:

2.

(4x³ + 2y) - (2x² - 2y)

Find the opposite of 2x² - 2y by finding the opposite of each term.

4x³ + 2y - 2x² + 2y

Add 2y and 2y to get 4y.

4x³ - 2x² + 4y

3.

To simplify this expression, simply multiply 2x - 5 by itself to get (2x + 3)(2x - 5)².

I know this is extra, but I'll expand it out.

(2x + 3)(2x - 5)²

Use binomial theorem (a−b)² =a²−2ab+b²  to expand (2x−5) ²

(2x + 3)(4x² - 20x + 25)

Use the distributive property to multiply 2x + 3 by 4x² - 20x + 25.

8x³ - 40x² + 50x + 12x² - 60x + 75

Combine -40x² and 12x² to get -28x².

8x³ - 28x² + 50x - 60x + 75

Combine 50x and -60x to get -10x.

8x³ - 28x² - 10x + 75

Answer:

1. [tex]4i+15[/tex]

2. [tex]5i+18[/tex]

3. [tex]-11i+10[/tex]

4. [tex]-2i[/tex]

5. [tex]9i+5[/tex]

6. [tex]-13[/tex]

7. [tex]-15i^{2}+18i[/tex]

8. [tex]-4i^2-16i[/tex]

9. [tex]-6i^2+38i-40[/tex]

10. [tex]-42i^2+27i-3[/tex]

11. [tex]-25i^2+4[/tex]

12. [tex]-i^2+9[/tex]

13. [tex]2i+8[/tex]

14. [tex]-18i+10[/tex]

Step-by-step explanation:

Standard form means to put the terms in order based on their exponent (x³ -> x² -> x -> constant)

1. (6 - i) + (9 + 5i)

[tex]4i+15[/tex]

2. (7 + 3i) + (11 + 2i)

[tex]5i+18[/tex]

3. (12 + 4i) - (2 - 15i)

[tex]-11i+10[/tex]

4. (3 - 7i) - (3 + 5i)

[tex]-2i[/tex]

[tex]35i^2+6i-9[/tex]

5. 7 - (2 - 3i) + 6i

[tex]7 - 2 + 3i + 6i[/tex]

[tex]9i+5[/tex]

6. -16 + (3 + 4i) - 4i

[tex]-16 + 3 + 4i - 4i[/tex]

[tex]-13[/tex]

7. 3i(6-5i)

[tex]18i-15i^2[/tex]

[tex]-15i^2+18i[/tex]

8. -2i(8+2i)

[tex]-16i+-4i^2[/tex]

[tex]-4i^2-16i[/tex]

9. (-5 + i)(8 - 6i)

[tex]-40+30i+8i-6i^2[/tex]

[tex]-6i^2+38i-40[/tex]

10. (3 - 6i)(-1 + 7i)

[tex]-3+21i+6i-42i^2[/tex]

[tex]42i^2+27i-3[/tex]

11. (2 + 5i)(2 - 5i)

[tex]4-10i+10i-25i^{2}[/tex]

[tex]-25i^2+4[/tex]

12. (-3 - i)(-3 + i)

[tex]9 -3i + 3i -i^2[/tex]

[tex]-i^2+9[/tex]

13. (4 + i) * 2

[tex]2i+8[/tex]

14. (5 - 9i) * 2

[tex]-18i+10[/tex]

:p when I first started answering this I thought the parentheses were being multiplied every time and did 100x more work .-.

Hope it helps <3 :D

Answer:

189

Step-by-step explanation:

:)

Answer:

189

Step-by-step explanation:

mulitply 7 by 4.5= 31.5

31.5 x6=189

Answer:

- 7y - 19

Step-by-step explanation:

[tex]4(2y – 7) – 3(5y – 3) \\ \\ 8y - 28 - 15y + 9 \\ \\ = 8y - 15y - 28 + 9 \\ \\ = - 7y - 19[/tex]

Answer:

-7-19

Step-by-step explanation:

Answer:

The fraction is 32/27

Step-by-step explanation:

let the fraction be x/y

x - y = 6

x = 6 + y ••••••(i)

This is according to the first sentence

Furthermore;

x/y-5 = 3/2

2x = 3(y-5) •••••(ii)

Substitute

2(6 + y) = 3y - 15

12 + 2y = 3y - 15

3y -2y = 12 + 15

y = 27

x = 6 + y

x = 6 + 27 = 33

Answer:

m=2/3

Step-by-step explanation:

from 2,-2 to -3, 1 the run is 3 and the rise is 2

slope = rise/run

slope = 2/3

Answer:

If it is a 360 the angles would be 316 remaining if it was 180 there would be 136 remaining. and if there was only 90 there would be 46 remaining (Hope this helps)

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Step-by-step explanation:

(7*2 +7)-4+62

21-4+16

37-4

33

Answer:a) 322 MILES  B) 34.391 ( The price per gallon was not given in units ) but if price of I gallon = lets say $2.89, then for 11.5 Gallons will be $34.391

Step-by-step explanation:

a)

M r Jones car needs 28 miles for 1 gallon = 28 MILES= 1 Gallon

Number of miles he can drive withe 11.5 gallons

1 Gallon = 28 miles

11.5 gallons = 11.5 x 28miles = 322 miles

b)  IF 1 gallon costs 2.89

11.5 gallons will  cost= 11.5 x 2.89= 34.391

Answer:

B!!!!!

Step-by-step explanation:

1/5

Answer:

a=Rational

b=interger

c=irational

d=whole

Step-by-step explanation:

I hope this helps! (i am sorry if it is wrong)

Answer:

a) rational

b) integer, rational

c) irrational

d)whole, integers, rational

Step-by-step explanation:

The numbers follow a chart of grouping

whole>integers>rational

irrational is its own group while real numbers include everything

Answer:

Vicky was 21 seconds faster the second time!

Step-by-step explanation:

Have a great day :D

Answer:

21

Step-by-step explanation:

74-53=

70-50=20

4-3=1

20+1=21

Answer:

$374

Step-by-step explanation:

561-187=374

Answr:

p=−7/2

Step-by-step explanation:

Simplify both sides of the equation.

p+

1

2

=−3

Step 2: Subtract 1/2 from both sides.

p+

1

2

−

1

2

=−3−

1

2

p=

−7

2

Answer:

x > 8/15

Step-by-step explanation:

x -1/2x + 1/3 > 3/5​

Combine like terms

2/2x - 1/2x +1/3 > 3/5

1/2x   + 1/3 > 3/5

Subtract 1/3 from each side

1/2x + 1/3 -1/3 > 3/5 -1/3

1/2x  > 3/5 -1/3

Get a common denominator

1/2x > 9/15 - 5/15

1/2x > 4/15

Multiply each side by 2

2 * 1/2x > 4/15 * 2

x > 8/15

Answer:

Step-by-step explanation:

1.How to find the longer leg of a 45 45 90 Triangle?

ans : If you know the length of one of the legs of a 45-45-90 triangle, the other leg has the same length. For this triangle, the other leg has a length of 8*sqrt(2) units. The hypotenuse's length can be found by multiplying the leg's length by sqrt(2).

Answer:

y = -1x + 2

Step-by-step explanation:

We need to find y = mx + b

Use the following equation

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the values

[tex]\frac{-1-0}{3-2}[/tex]  = [tex]\frac{-1}{1} = -1[/tex]

We have found the slope(m) which is -1

We have to find y-int b

Plug in any given x,y into the slope formula

-1 = -1(3) + b

-1 = -3 + b

2 = b

At last the formula is

y = -1x + 2

F(13) means x equals 13.

Replace x in the equation with 13 and solve:

-13 + 3 = -10

F(13) = -10

Answer:

-10

Step-by-step explanation:

if the x in f(x) is 13, then the x in the equation is 13 and there is a negative sign in front so it is negative 13 plus 3 which is negative 10

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

base² + height² = hypotenuse²

6² + 8² = hypotenuse²

100 = hypotenuse²

hypotenuse = √100 = 10 meters

Answer:

5/2 or 2.5

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  31 and 72

Step-by-step explanation:

Let x be the smaller number and y be the larger number. Then we have ...

  x + y = 103 . . . . . sum is 103

  y = 2x +10 . . . . . y/x is 2 remainder 10

Substituting for y, we get ...

  x + (2x +10) = 103

  3x = 93

  x = 31

  y = 103 -31 = 72

The two numbers are 31 and 72.

Answer:

2,000. 90x20 is 1,800 and that is close to 2000.

Step-by-step explanation:

Answer:

90 × 27 = Would be estimated to 2,000-2,500

Step-by-step explanation:

Answer:

8y=21x

Step-by-step explanation:

i'm not sure how to draw this out in a picture but the equation is above.

like the question states, Cassidy paints 8 faces in every 21 minutes. the amount of time she spends painting one face would be figured out by dividing 21 by 8 giving you 2.625minutes so i would just say around 3 minutes. so to draw a picture maybe just draw 8 faces and then circle them and say 21 minutes and then put x (to show the time she spent painting each face) under the faces in the picture and then show your work solving this.

in order to find out the ratio of time spent drawing one person's face we have to take the information given and divide the total of 21 minute span by the 8 different faces she painted in order to find how long she spends on 1 face.

hope this helps, if it did please make sure to leave a like, rate, and give me the brainliest if possible!

thanks have a great day!

Answer:

The video is blocked for me

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12 boys and 300 girls

Step-by-step explanation:

There are twelve more boys than girls