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Marysya12 [62]
3 years ago
8

Help me simplify the algebraic expression

Mathematics
1 answer:
Molodets [167]3 years ago
3 0
=2ab - 20a -5a +10 -ab - b
= ab - 25a - b + 10
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Look at teh screenshot pls
Dimas [21]

Hey there!

When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.

<u>Starting with A: </u>

Expand:

3 x 2x^2 + 3 x -x + 3 x -6

Simplify 3 x 2x^2 to 6x^2

6x^2 + 3 x -x + 3 x -6

Regroup.

6x^2 = 3x + 3 x -6

Simplify 3 x -6 to -18

6x^2 - 3x - 18

That does not match up to 6x^2-2x-20.

A is INCORRECT.

<u>Solving B:</u>

Collect like terms:

4x - 2x + 2x^2 - 20

The ones bolded are like terms.

So, we now collect them and add them.

4x^2 + 2x^2 = 6x^2

6x^2 - 2x - 20

That matches up with 6x^2-2x-20.

B is CORRECT.

<u>Solving C:</u>

Multiply the parentheses then multiply:

6x^2-12x+10x-20

Collect like terms:

6x^2 - 2x - 20

This matches up with 6x^2-2x-20.

Thus, C is CORRECT.

<u>Solving D:</u>

Multiply the terms in the parentheses by -2:

6x^2 - 2x - 2 x 10

Multiply the numbers:

6x^2 - 2x - 20

This also matches up with 6x^2 - 2x - 20 / they are <u>equal.</u>

Thus, D is also CORRECT.

<h3>Therefore, our answers are: </h3><h2><u>B, C, D </u></h2>

Thanks a ton for using Brainly! :)

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5 0
3 years ago
The demand for a certain company's e-reader can be approximated byq =720p− 1 million units per year (60 ≤ p ≤ 400),where p is th
LenKa [72]

Answer:

Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Step-by-step explanation:

Given that;

q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }

supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)

we substitute

720/p - 1  = 0.018p − 1

720/p = 0.018p

720 = 0.018p^2

p^2 = 720/0.018 = 40000

p = sqrt(40000)

p = 200

substitute value of p

q = 0.018(200) − 1

q = 3.6 - 1 = 2.6

Therefore Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

8 0
3 years ago
Give Area of a circle of diameter of 120 meters
Valentin [98]

Answer:

Area=11,309.73

Step-by-step explanation:

area of a circle is πr^2 so half of the diameter is the radius so it's 60.

pi x 60^2= 11,309.73

3 0
3 years ago
Given ADEF, which is not equal to cos(F)?<br> sin(F).<br> sin(D).<br> tan(F).<br> cos(D)
Ivan

Answer:

tan(F).

Step-by-step explanation:

got it right on edge quiz

6 0
3 years ago
Use the Pythagorean theorem to find the distance between the two points ANB round your answer to the nearest hundredth
jek_recluse [69]

Answer:

5.39 units

Step-by-step explanation:

Pythagorean theorem: a^{2} + b^{2} = c^{2}

Let point (-2,1) be C

Line segment AC would be 2 units long.

Line segment BC would be 5 units long.

Insert the length of the line segments in to the Pythagorean theorem

2^{2} + 5^{2}

4 + 25 = 29

\sqrt{29} ≅ 5.385

6 0
3 years ago
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