Need help with operations with polynomials!!!!

Answer:

Value of x = 3√2 unit

Step-by-step explanation:

Given:

Hypotenuse of given triangle = 6 unit

Length of equal side = x units

Find:

Value of x

Computation:

Using pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse of given triangle² = Perpendicular² + Base²

6² = x² + x²

36 = 2x²

x² = 36/2

x² = 18

x = √18

x = 3√2

Value of x = 3√2 unit

Step-by-step explanation:

pls type the question

properly and I swear I will solve it

Answer:

283 people went this year to the stadium.

Step-by-step explanation:

Let's put this data into pieces so it's less overwhelming.

Last year 260 students went to the prom.

Currently the number of students who attended has increased by 9% from last year.

And the question is asking how many students attended this year?

Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?

0.09 * 260 = 23.4

260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

Answer:

Step-by-step explanation:

[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]

The solutions of the given rational equation are 13/4 and 11/4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)

Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)

2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)

2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)

(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)

(2x²-4x-2x+5)/(x-1)=-3

2x²-4x-2x+5= -3(x-1)

2x²-6x+5=-3x+3

2x²-6x+5+3x-3=0

2x²-3x+2=0

By using quadratic formula, we get

x=3±√(9-8)/4

x=3± 1/4

x= 3+1/4 and x=3-1/4

x=13/4 and x=11/4

Therefore, the solutions of the given rational equation are 13/4 and 11/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

l

Step-by-step explanation:

A sequence is an ordered list of numbers.....

A term is an element in a sequence.

You can expand a sequence by finding and writing....

The next term in the sequence is A = (general term)

Answer:

$882.75

Step-by-step explanation:

In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.

7 ÷ 100 = 0.07 — Percentage converted to a decimal.

[tex]825 \times 0.07 = 57.75[/tex]

— The tax. Now, in order to find the whole price, the tax and retail price must be added together.

[tex]825 + 57.75 = 882.75[/tex]

As per linear equation, the amount I have to pay in total is $645.

The simplified value of the given expression is (8 - 17x).

"A linear equation is an equation in which the highest power of the variable is always 1."

1. Given, the cost of television is $825.

The sales tax rate is 7%.

Therefore, total price of the television is

= $[tex][825 + (\frac{825(7)}{100})][/tex]

= $[tex](825+57.75)[/tex]

= $[tex]882.75[/tex]

2. The given expression is:

[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]

Learn more about a linear equation here:

brainly.com/question/1751327

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Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x ← is in standard form

with a = 1, b = 4, c = 0 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

Substitute x = - 2 into the equation for corresponding value of y

y = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )

Answer:

C = 28

Step-by-step explanation:

6/42 = 32-x/x

Answer:

C = 28

I hope this helped you

❀ [tex]\huge\underline{ \underline{ \tt {ANSWER :-}}}[/tex]

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

⟹ Jada will have a profit because she sold the bag for money than she had bought it for.

[tex]85 - 75 \\ = 10[/tex]

⟹ She'll have about 10 (currency name) as the profit.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

[tex]\underbrace{ \overbrace{ \tt{Carry \: On \: Learning}}}[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer: 7,000,000

A million= six zeroes

Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions

Each place value represents an additional zero

Answer:

-2

Step-by-step explanation:

1. reduce the numbers by taking out the greatest common factor which is 9.

2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4

Answer:

-2

Step-by-step explanation:

[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]

changing division sign to multiplication and doing reciprocal

[tex]-\frac{8}{9}*\frac{9}{4}[/tex]

9 and 9 gets cancel so,

[tex]-\frac{8}{4}[/tex]

4 divides 8 exactly by 2 and keep minus sign as it is

-2

Answer:

Cuatro es la respuesta también conocida como d

Answer:

Step-by-step explanation:

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

Answer:

6 days

Step-by-step explanation:

Hi there!

Let d be equal to the number of days that pass.

1) Form expressions

We're told that our sister earns $30 a day, but needs to pay $60 at first:

[tex]30d-60[/tex]

We're also told that we earn $20 a day:

[tex]20d[/tex]

2) Form an equation

We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.

For our income and our sister's income to equal each other, the following must be true:

[tex]30d-60=20d[/tex]

Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.

3) Solve for d

[tex]30d-60=20d[/tex]

Subtract 30d from both sides to isolate d on one side

[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]

Divide both sides by -10 to isolate d

[tex]6=d[/tex]

Therefore, for both our income and our sister's income to become equal, 6 days would pass.

I hope this helps!

Hope this helps!! :)))))))

Answer:

173.3ft

Step-by-step explanation:

We'll start by the rectangle below

so remember the formula: l · w · h

10 · 4 · 3 = volume

volume = 120 ft

Rectangular pyramid

Volume = [tex]\frac{1}{3}[/tex] b · h

Volume = 1/3 40 · 4

Volume = 1/3 160

Volume = 53.3 ft

120 + 53.3 = 173.3 ft

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

Answer:

Pata nahii!!!!!!!!!!!:)))))

Answer:

Redox is a type of chemical reaction in which the oxidation states of atoms are changed. Redox reactions are characterized by the actual or formal transfer of electrons between chemical species, most often with one species undergoing oxidation while another species undergoes reduction.  

Step-by-step explanation:

hope it helps

9514 1404 393

Answer:

  (b) Line SW has an undefined slope.

  (c) Line TV has a slope of 0.

  (d) Lines RS and TV are parallel.

Step-by-step explanation:

A horizontal line has 0 slope. Lines RS and TV are horizontal, hence are parallel and have 0 slope.

A vertical line has undefined slope. Line SW is vertical, hence has undefined slope.

Answer:

B,C,D

Step-by-step explanation:

Answer:

x<1

Step-by-step explanation:

x+5<6 - 6-5

x<1

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]

So, the step 1 is correct.

Answer:

24

Step-by-step explanation:

x + (1/4)x + (1/3)x = 38

multiply both sides by 12 to clear the fractions

12x + 3x + 4x = 456

19x = 456

Divide both sides by 19

x = 24

Answer:

24

Step-by-step explanation:

x+1/4x+1/3x=38

x+7/12x=38

19/12x=38

x=38*12/19=24

Answer:

Step-by-step explanation:

P= plain coasters

L= logo coasters

3(P+L) +25   if they want to buy logo coasters or logo  and plain  coasters

3P  if they want to buy plain coasters

no matter the amount of logo coasters   there is a one time charge  of $25

So we do not need to know how many with logo

The prize of both kind of coaster is $3

Step-by-step explanation:

1/2 -1/4

2*4-1*1/4

=1/4.

1/4is answer

Answer:

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

Because x-3 must be greater or equal zero and x must be not equal -2

Answer:

so when factorising, you first remove the common factors. in this case it is (x+3)

so what is remaining is the x and 4

you group that together.

my teacher explained that when factorising, after removing the common factor then you divide each term by the common factor, and then group the answers to that in brackets.

so it will be,

[tex]x(x + 3) + 4(x + 3) \\ (x + 3)( \frac{x(x + 3)}{x + 3} + \frac{4(x + 3)}{(x + 3)} [/tex]

so basically whats left after dividing, is x and 4 because the x+3 cancel off.

and thats how you get the answer of

(x+3)(x+4)

hope this helps;)

Answer:

48 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

144 = s^2

Taking the square root of each side

sqrt(144) = sqrt(s^2)

12 = s

The side length is 12

We want to find the perimeter to determine the amount of ribbon

P =4s

P =4*12

48 inches