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2 years ago

(2y+3)(3y^2+4y+5) use the chart to multiply the binomial by the trinomial

Mathematics

1 answer:

astra-53 [7]2 years ago

8 0

(2y+3)(3y^2+4y+5)

so u just multiply all the things from different brackets.

2y*3y^2 = 6y^3

2y*4y = 8y^2

2y*2 = 4y

3*3y^2 = 9y^2

3*4y = 12y

3*5 = 15

so 6y^3+8y^2+4y+9y^2+12y+15

thats the answer BUT u need to collect the like terms, otherwise u probably wont get full marks on the question, so:

6y^3+17y^2+16y+15

i hope this helps :)

someone correct me if im wrong

You might be interested in

Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.

gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )

and major axis parallel to the x-axis is x²/a² + y²/b² = 1

# a > b

- The length of the major axis is 2a

- The coordinates of the vertices are ( ± a , 0 )

- The length of the minor axis is 2b

- The coordinates of the co-vertices are ( 0 , ± b )

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0

2 years ago

I need help with this! (slope)

kvv77 [185]

Answer:

175/25

Step-by-step explanation:

i think this answers you question

5 0

2 years ago

A paper company needs to ship paper to a large printing business. The a paper will be

eimsori [14]

Given :

A paper company needs to ship paper to a large printing business.

The paper will be shipped in small boxes and large boxes.

Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Find :

Determine the number of small boxes shipped and the number of large boxes shipped.

Calculations :

Let "S" be small boxes and "L" be large boxes.

Small box + Large box = 19

50S + 80L = 1280

→ 5S + 8L = 128

→ 5 (19 - L) + 8L = 128

→ 3L = 128 - 95

→ L = 33/3

→ L = 11ㅤㅤ

Finding the small box:

→ S = 19 - L

→ S = 19 - 11

→ S = 8

Therefore ,

Large boxes = 11.

Small boxes = 8.

orrrrrr

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper

weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

Then,

x + y = 19 ............ (1) and

50x + 80y = 1280

⇒ 5x + 8y = 128 ............... (2)

Now, solving equations (1) and (2) we get,

5( 19 - y) + 8y = 128

⇒ 3y = 128 - 95 = 33

⇒ y = 11

Now, from equation (1) we get, x = 19 - y = 19 - 11 = 8

Therefore, the number of small boxes is 8 and that of the large boxes is 11. (Answer)

8 0

1 year ago

How do you factorise fully x³-x

Harman [31]

Answer:

=x³-x

=x(x²-1)

=x(x²-1²)

=x(x+1)(x-1)

hope it helps.

4 0

2 years ago

An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has

natulia [17]

6 more gallons, I don’t know how it’ll be as an inequality though, maybe. 40x/4= 24x/4=6 ?

5 0

2 years ago