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3 years ago

Which expression is equivalent to 8x-12y+32? 16(0.5x-4y+32) 16(0.5x-0.75y+32) 16(0.5x-0.75+2 16(0.5+4y+2)

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

Answer:

this one

16(0.5x-0.75+2)

Step-by-step explanation:

jeka943 years ago

3 0

Answer:

Third Option is the only equivalent equation :)

Step-by-step explanation:

First Option: NO

16(0.5x - 4y + 32)

distribute

8x - 64y + 512

Second Option: NO

16(0.5x - 0.75 + 32)

distribute

8x - 12y + 512

<h2>Third Option: YES</h2>

16(0.5x - 0.75 + 2)

distribute

8x - 12y + 32

Fourth Option:

16(0.5x + 4y + 2)

distribute

8x + 64y + 32

hope this helps :)

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2x^3-x^2-3x=210 the answer is 5 but I want to know why.

mel-nik [20]

Answer:

$x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

Step-by-step explanation:

1) Move all terms to one side.

$2x^{3} -x^{2} -3x-210=0$

2) Factor $2{x}^{3}-{x}^{2}-3x-210$ using Polynomial Division.

1 - Factor the following.

$2x^{3} -x^{2} -3x-210$

2 - First, find all factors of the constant term 210.

$1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210$

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

$2*1^{3} -1^{2} -3*1-210=-212$

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

$2(-1)^{3} -(-1)^{2} -3*-1-210=-210$

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

$2*2^{3} -2^{2} -3*2-210=-204$

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

$2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224$

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

$2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174$

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

$2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264$

Substitute 5 into x. Since the result is 0, x-5 is a factor..

$2\times {5}^{3}-{5}^{2}-3\times 5-210 =0$

------------------------------------------------------------------------------------------

⇒ $x-5$

4) Polynomial Division: Divide $2{x}^{3}-{x}^{2}-3x-210$ by $x-5$ .

$2x^{2}$ $9x$ $42$

-------------------------------------------------------------------------

$x-5$ | $2x^{3}$ $-x^{2}$ $-3x$ $-210$

$2x^{3}$ $-10x^{2}$

-----------------------------------------------------------------------

$9x^{2}$ $-3x$ $-210$

--------------------------------------------------------------------------

$42x$ $-210$

-------------------------------------------------------------------------

5) Rewrite the expression using the above.

$2x^2+9x+42$

$(2x^2+9x+42)(x-5)=0$

3) Solve for $x.$

$x=5$

4) Use the Quadratic Formula.

1 - In general, given $a{x}^{2}+bx+c=0$ , there exists two solutions where:

$x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}$

2 - In this case, $a=2,b=9$ and $c = 42.$

$x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}$

3 - Simplify.

$x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

5) Collect all solutions from the previous steps.

$x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

4 0

3 years ago

Read 2 more answers

I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right

Nataly [62]

Answer: A. SSS

Step-by-step explanation:

The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.

7 0

4 years ago

Read 2 more answers

Please help I’m unsure

Delicious77 [7]

Step-by-step explanation:

3 answer.....

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6 0

2 years ago

Help please it’s very important that I finish today

Andrew [12]

Answer:

A. Domain=an area of territory owned or controlled by a ruler or government.

B. Range=the area of variation between upper and lower limits on a particular scale.

C. Relation=the way in which two or more concepts, objects, or people are connected; a thing's effect on or relevance to another.

D. Function=an activity or purpose natural to or intended for a person or thing.

never mind sorry didn't know this was math just delete the answer

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3 years ago

1377/8 in simplest form Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

nlexa [21]

To convert a fraction to simplest form we need to find the greatest common factor.

The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.

Steps to solve

1) Set up the long division.

2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.

3) Bring down 7, so that 57 is large enough to be divided by 8.

4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.

5) Bring down 7, so that 17 is large enough to be divided by 8.

6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.

7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.

Express as a mixed fraction = $172 \dfrac{1}{8}$

5 0

3 years ago

Which expression is equivalent to 8x-12y+32? 16(0.5x-4y+32) 16(0.5x-0.75y+32) 16(0.5x-0.75+2 16(0.5+4y+2)​

Which expression is equivalent to 8x-12y+32? 16(0.5x-4y+32) 16(0.5x-0.75y+32) 16(0.5x-0.75+2 16(0.5+4y+2)