HELP ME PLEASE!!!! explain how to solve y^4-81/y-3

Answers

Answer 1

Answer:

If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable  y .

y ≈ 2.45043159

Step-by-step explanation:

Answer 2

The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.

expression (y⁴ - 81) / (y - 3)

by simplification

factoring the numerator

y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)

factoring the denominator

y - 3

we get, (y² - 9)(y² + 9) / (y - 3)

simplifying

(y² - 9) = (y - 3)(y + 3)

(y - 3)(y + 3)(y² + 9) / (y - 3)

(y + 3)(y² + 9)

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Related Questions

4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

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

Let's check whether the value of y is -4 or not.

Verification

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

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

Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~TheAnimeGirl

answer the question for good boy stars

Answers

Answer:

its-5.5°C

explanation

combine it

Answer:

the answer is br-br

Step-by-step explanation:

that is answer bro

For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4

Answers

Answer:

Step-by-step explanation:

f(x) = ax² + bx + c

"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )

axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]

If a > 0 the function opens upward and has minimum value.

If a < 0 the function opens downward and has maximum value.

f(x) = - x² - 6x - 4

(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5

Coordinates of vertex are (- 3, 5)

(b). The axis of symmetry is x = - 3

(c). The given function opens downward

y = 5 is a maximum of a given function.

solve each system of equations using substitution. x=y+1 x=3y+2​

Answers

Answer:

x=1/2

y=-1/2

Step-by-step explanation:

x = y+1

x = 3y+2

Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.

As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.

For this, I will show you by plugging in the bottom equation for the top equation.

x = y+1

x = 3y+2

As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.

3y+2 = y+1

From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.

So, subtract y from both sides.

(3y-y)+2 = (y-y)+1

Rewrite the equation.

2y+2 = 1

Remember, the goal is to get the "y" BY ITSELF.

There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.

2y+(2-2)=(1-2)

When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.

Keep the 1.

Flip the - to a +

Flip the 2 into a -2.

So you get 1+(-2) which is -1. Now, rewrite the equation.

2y=-1

You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.

y=-1/2

Now, use this value to plug into your ORIGINAL equations (you can pick either)

x = y+1 OR x = 3y+2

x= -1/2 + 1

x=1/2

(1/2, -1/2)

What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?

Answers

Answer:

55

Step-by-step explanation:

the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 5y² + 4x

To calculate the value of expression at x = 2.5 and y = 3

Substitute the value of x and y in the expression:

=> 5y² + 4x

=> 5* 9 + 4 * 2.5

=> 45 + 10

=> 55

therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.

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Answer quick please!

Answers

I think the answer is 22 I added all the sides and multiply 2/3

HELP PLEASE!!! This is a Function or Not a Function Assignment HELP I DON’T UNDERSTAND IT PLEASE

Answers

Answer:

O and N is a function

K is not a function.

Step-by-step explanation:

O and N is solved for X perfectly, but K has mixed variables so there isn't a y-intercept.

If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number

Answers

Answer:

29

Step-by-step explanation:

Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.

Answer:

29

Step-by-step explanation:

-39=-3(n-16)

13=n-16

29=n

Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7

Answers

Answer:

12, 43/63

Step-by-step explanation:

Answer: 12 43/63

Step-by-step explanation: it was correct on my test

Please help me with this :((

Answers

Answer:x=5 or F

Step-by-step explanation:(8x+6)/(5x-2)=2, because it is the midsegment, cross multiply, and you get 2x=10, so x=5

(01.02 LC)
Solve
3x - 15
= 4x
2
Ox= 11
Ox=6
Ox= -3
Ox= -15
I need help

Answers

Answer:x = -15Hope this helps!!

Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda

Answers

Answer:

1/2 teaspoon salt

Step-by-step explanation:

We can make this into a ratio of salt:baking soda

1/8:1/4

now, how many 1/4 will we need to make 1?

If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!

1/8*2=4/8, or 1/2 teaspoon

A satellite travels 12 miles in 15 minutes at a constant speed. What is the satellite’s speed in mile per hour?

Answers

Answer: 46 mph

Step-by-step explanation: 15*4=60 so 12*4=46

I hope this helps!


Jerry and Jo are making brownies for the bake sale.
Each pan of brownies will be cut into 18 rows with 12 brownies per row.
They plan to make 12 pans of brownies.
Choose Yes or No to tell if the equation shows the number of brownies they will make.
(12 x 18) ~ 12 = b
18 * (2 x 12) = b
18 x 12 = b
12 x (12 * 18) = b

Answers

Answer:

Yes

12 * (12 * 18) = b will give the total number of brownies to be made

Step-by-step explanation:

Here, we want to select which of the equations will give the number of brownies to be made

The total number of brownies is b

For each pan, we have 18 rows , with 12 per row

So the total number of brownies per pan is 12 * 18

Since they are making 12, the total number of brownies b will be;

12 * (12 * 18) = b

Which of the following points is a solution of y s-Ixl - 1?
O (-1,-3)
O (0,0)
O (1,-1)

Answers

Answer: The answer is (-1,-3) :)

Step-by-step explanation:

Mark me as brainlest please

Kellie is allowed to watch up to 90 minutes of tv pre day. If she watched 10 minutes before school, how many 20-minute tv episodes can she watch after school?

Answers

Answer:

4

Step-by-step explanation:

As she watches 90 minutes of tv pre day and she watched 10 minutes before school

So minutes left 90-10=80

And 1 episodes contains 20 minutes

So she can watch tv episodes

= 80÷20

=4 (ans)

Note:It is the answer as far as I know. If you have any doubt you can go with others

In the diagram below, find the value of x to the nearest hundredth

Answers

Answer:

x = √324 = 18

Step-by-step explanation:

x shows up only in the second problem, so I'll focus on that problem.

This is a right triangle because one of the three angles is 90 degrees.

Thus, the Pythagorean Theorem applies:  x^2 + 24^2 = 30^2, or

x^2 = 900 - 576 = 324

Then x = √324 = 18

8 1/6 - 2 7/8 =

BRAINLIEST

Answers

Answer:

5 7/24

Step-by-step explanation:

Convert to improper: 49/6-23/8=254/48 which is 5 7/24

Hope this helps plz mark brainliest :D

Answer:

5  7/24≈5.292

Step-by-step explanation:

Subtract

8  1/6 -2 and 7 over 82=127 over 2

Convert mixed number to improper fraction

8 1/6= 8x6/6+ 1/6=16+7/8=23/8

Convert mixed number to improper fraction

2 7/8= 2x8/8+7/8=16+7/8=23/8

Find common denominator

49/6-69/24=196-69/24=127/24

24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.

Subtract

196/24- 69/24= 196-69/24=127/24

Simplify

127/24= 5 7/24

A bird is flying at a constant rate.

This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.

Which statement best describes the bird's elevation, given this equation?


The bird started at a height of 15 meters and is ascending at 8 meters per minute.

The bird started at a height of 8 meters and is ascending at 15 meters per minute.

The bird started at a height of 15 meters and is descending at 8 meters per minute.

The bird started at a height of 8 meters and is descending at 15 meters per minute.

Answers

Answer:

the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.

Step-by-step explanation:

i know things

Answer:

the answer is A

Step-by-step explanation:

what this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?

a.108
b.18c³
c.54c
d.9c6​

Answers

It’s going to be 18c³

Step-by-step explanation:

: a common multiple of the denominators of a number of fractions. 2 : a common trait or theme.

Can someone help me on this? Will mark brainleist if they get it right!

Answers

Answer:

2.5

Step-by-step explanation:

2500 ÷ 1000

*Sorry if this is wrong*

For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8

Answers

Answer:

C. 7

Step-by-step explanation:

[tex] In\: \triangle ABC\\

\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]

Therefore, by Basic Proportionality theorem:

[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\

\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\

\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]

I will brainlist HELP

Answers

Answer:

x = 7

y = 10

Step-by-step explanation:

<K and <NLK are marked as being equal.

That means that KN and LN are equal.

So LN = 6

y - 4 = 6

y = 4 + 6 = 10

For the same reason LN = LM

That means that x + 3 = 10

x = 10 - 3

x = 7

jess makes salad dressing by mixing lemon juice and olive oil in the ratio 2:5 by volumr.me. shes uses 0.5 litres of lemon juice. work out how much olive oil she uses to make the salad dressing.

Answers

Answer:

its 2.5 liters of olive oil because .5 times 5 equals 2.5 needed to satisfy ratio.

i will give brainlist

Answers

Answer:

oml not u making me do math

Step-by-step explanation:

not u making me do math

brad wants to buy flowers for his friend with $39. The daisies are $1 each and the roses are $3 each. he buys 3 more daisies than roses. how much did the roses cost

Answers

Answer:9 roses

12 daisies

Step-by-step explanation:

Which of the following equations is written in vertex form?
Oy= 2x² + 3x – 8
Oy= 3 (x + 5) (x - 2)
O y= -2(x + 5)2 – 2 .
O y = 3x – 5
Need help please!!!

Answers

The third one is correct.

help
i dunno it
please please

Answers

Answer:

it takes 24 days

Whats is the answer for 30x10283

Answers

Answer: 30 x 10,283= 308,490

Step-by-step explanation: 30 multiplied by 10,283 equals 308,490

please explain this in steps please friends​

Answers

Answer:

See below

Step-by-step explanation:

The LHS and RHS are exactly the same, so the equality is true.

The associate property of addition says that

[tex]\boxed{a+(b+c)=(a+b)+c}[/tex]

In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.

[tex]\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )[/tex]

[tex]\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}[/tex]

[tex]\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}[/tex]

[tex]\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}[/tex]

[tex]\dfrac{ 23 }{12}[/tex]

Answer:

You gotta give me (us) more to work with homie.

Step-by-step explanation:

If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(

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