All categories

3 years ago

Which expression is the simplest form -(4x+y)+2(x-3y)

Mathematics

2 answers:

Murrr4er [49]3 years ago

5 0

Answer:

-2x-7y

Step-by-step explanation:

We have the expression -(4x+y)+2(x-3y) and we have to simplify it:

<em>Observation: -(4x+y)=(-1)(4x+y)</em>

We have to use distributive property this is: $a(x+y)=ax+ay$

Then,

$(-1)(4x+y)+2(x-3y)=\\(-1).4x+(-1).y+(2).x+(2).(-3y)=\\=-4x-y+2x-6y$

Ordering:

$-4x-y+2x-6y=\\-4x+2x-y-6y=\\=-2x-7y$

Then the simplest form of -(4x+y)+2(x-3y) is -2x-7y

Verdich [7]3 years ago

3 0

Answer:

- 2x - 7y

Step-by-step explanation:

Given

- (4x + y) + 2(x - 3y)

Distribute both parenthesis, noting that the first is distributed by - 1

= - 4x - y + 2x - 6y ← collect like terms

= (- 4x + 2x) + (- y - 6y )

= - 2x + (- 7y) = - 2x - 7y

You might be interested in

How do you find the linear regression equation?

konstantin123 [22]

You can a linear equation when the line go between the margin and when it have a straight line

8 0

3 years ago

Which graph represents the solution set of the compound inequality -5 < a -15 < 2

Anuta_ua [19.1K]

We are given the inequality,

$-5$

Now let us simplify this to get the value of a,

Adding 15 to both the sides,

$-5+15$

$10$

So we have a>10 and a<17

One more thing that we need to look at is whether we will have close dots or open dots at 10 or 17.

If we have "=" sign along with inequality sign (≤ or ≥) then we use closed dot.

If we dont have "=" sign along with inequality sign (< or >) then we use open dot.

In our case we use open dot , since we dont have "=" sign.

So Answer will be option third, line starting from 10 to 17 with open dots at 10 and 17.

5 0

4 years ago

Solve both questions please ❤️❤️

harina [27]

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

$\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2$

2. GK is angle G bisector. Use angle bisector's property:

$\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18$

8 0

3 years ago

Which statement shows the associative property of addition?

alexira [117]

.if m + 3 + 13,then 18=m + 3

6 0

4 years ago

Why did I just to be good at math but now I don't understand any of it my knowledge just flew away, can someone please explain h

Allisa [31]

As you get older your brain develops as you do so when you’re taught math your brain is developing a slightly slower pace than it should be for example if you have a teacher who doesn’t really teach a lot it’s really going to slow down the process of learning

4 0

3 years ago