'Word Problems Involving Products and Factoring'Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares.

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Answer 1

Answer: $x,x+1- two\ consecutive\ numbers\n\n Condition:\nx>0\ and\ x+1>0\nx>0\ and\ x>-1\n\n (x+x+1)(x+1-x)+8=x^2+(x+1)^2\n\n(2x+1)*1+8=x^2+x^2+2x+1\n\n2x+1+8=2x^2+2x+1\n\n-2x^2+2x-2x=1-8-1\n\n-2x^2=-8\ \ |:(-2)\n\nx^2=4\n\nx=2\ \ or\ \ x=-2\ -\ reject\ conditions\ are\ not\ satisfied\n\nTwo\ consecutive\ numbers\ are:\ 2\ and\ 3.$

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Simplify the rational expression -12x^3/x^3-5x^4

Number that is not an irracional number

Answers

Answer:

Step-by-step explanation:

Hope this helps

Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same number of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.

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The expression in one variable b that shows the number of beads on each necklace is (b-20)/4

What is an expression in one variable?

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Standard form of linear expression in one variable x is ax +b , where a and b are constants .

Given that Liam has a bag of b beads

He gave 20 beads to his sister

Then, remaining beads = b -20

Remaining beads are used to make 4 necklaces

Let the beads on each necklace be x

Then beads in four necklaces = 4x

As, Remaining beads = beads in four necklaces

⇒4 x = b - 20

Dividing the equation by 4 on both sides

⇒ x = (b-20)/4

∴ The expression that shows the number of beads on each necklace is (b-20)/4

Also, Learn more about the expressions in one variable from the link below:

brainly.com/question/17272650

#SPJ1

Answer:

Step-by-step explanation:

just do 20 divided by 4 and you will get 5. Also, do 5x4 to make sure you let your teacher know that you got the right answer.

We have: $\overline{abc}$

a,b,c are natural prime numbers and

$a\cdot b \cdot c=30$

What are the numbers? Without using GUESS-WORK!

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$30=2\cdot15=2\cdot3\cdot5$

If you have no other data such as a < b < c, or other (even-odd number), then you have 6 answers:

$235\n253\n325\n253\n523\n532$

Factorize 30.

30|2
15|3
5|5
1

$30=2\cdot3\cdot5\n\Downarrow\na=2\nb=3\nc=5$

An Axiom in Euclidean geometry states that in space, there are at least three points that do

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Answer:

...not lie on the same plane.

Step-by-step explanation:

26.
What is the solution to. y - 9 > 4 + 2y?

HELP. answer if you can!

Answers

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

$\boxed{y < -13}$

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is arithmetic? If it is geometric?

Answers

Answer:

if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)

where n is the number of term.

the 4th term is 125

if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)

where n is the number of term

the 4th term is 75

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