Which shows the simplified form of the expression below? 90y^4-120y-360y^3+30y^2
Show all steps you took to get the answer

Which Shows The Simplified Form Of The Expression Below? 90y^4-120y-360y^3+30y^2Show All Steps You Took

Answers

Answer 1

Answer:

[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]

Step-by-step explanation:

Given

[tex]90y^4-120y-360y^3+30y^2[/tex]

Required

Simplify

[tex]90y^4-120y-360y^3+30y^2[/tex]

Factor out 30y

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)[/tex]

Reorder the expression

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )[/tex]

Factorize

[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )[/tex]

Combine the factors

[tex]90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))[/tex]

Rewrite as:

[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]


Related Questions

Solve 4x+x+4 = 8x -3x + 4

Answers

Answer:

x ∈ R

Step-by-step explanation:

4x+x+4=8x−3x+4

Combine 4x and x to get 5x.

5x+4=8x−3x+4

Combine 8x and −3x to get 5x.

5x+4=5x+4

Subtract 5x from both sides.

5x+4−5x=4

Combine 5x and −5x to get 0.

4=4

Compare 4 and 4.

True

This is true for any x.

x ∈ R

If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2

Answers

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=[tex]\frac{6.66}{2}=3.33[/tex]moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25

Answers

B )5 15 ;9 27 its proportion

The graph shows the rate at which two fuel tanks are being filled. Which statement best interprets the distance shown on the graph?

Answers

Answer:

Tank B has 4 more gallons than tank A.

Step-by-step explanation:

How many full 5/8 ft pieces of wood can you cut from a board that is 458 feet long?

Answers

Answer:

732 pieces

Step-by-step explanation:

458/5/8

= 458* 8/5= 732 pieces

if my answer helps please mark as brainliest

458 5/8 is the answer

Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.

Answers

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

TIMED QUESTION HELP FAST

Answers

Answer:

D

Step-by-step explanation:

A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).

C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].

So D is the correct answer by elimination.

Use the graph to write a linear function that relates y to x.

The linear function is y=?


Answers

Answer:

identify the value that is intercepting y-axis !!

Step-by-step explanation:

in this case it is 1

trapezoid.mp4
Find the value of x and y.
Rek2
20
x
12
Y
x =
y =

Answers

9514 1404 393

Answer:

x = 12y = 20

Step-by-step explanation:

The figure only makes sense as a kite, in which case left sides are equal and right sides are equal.

  x = 12

  y = 20

X + Y = 2. y =2x + 5 write the solution as a ordered pair ​

Answers

Answer:

(-1, -2)

x=-1

y=-2

Step-by-step explanation:

x+y=2

y=2x

Knowing this information, we can substitute y for 2x+5 in the first equation.

x+2x+5=2

3x+5=2

3x=-3

x=-1

Now, plug x into the second equation.

y=2(-1)

y=-2


Plz guys help I need help

Answers

The answer would be 56 pounds
56 pounds your welcome

PLEASE HELP I ATTACHED A PICTURE

Answers

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36

Answers

The correct answer is
3x - 36

Answer:

3x-36 is equivalent to 3(x-12)

The expression (2x + 6) + x represents the perimeter of an isosceles triangle. If x represents the length of one side of the triangle, explain how you can use Distributive Property to find the length of each of the two equivalent sides?

Answers

Answer:

x+3

Step-by-step explanation:

x= one side of the triangle

(2x+6)=two sides of the isosceles triangle

Factor (2x+6) which is 2(x+3)

So, the length of each side is x+3.

A manufacturing company is shipping a certain number of orders that need to weigh between 193 and 194 pounds in order to ship. Use the dot plot below to answer the following questions.193193.1193.2193.3193.4193.5193.6193.7193.8193.9194Step 1 of 3 : How many orders did the company ship between 193 and 194 pounds

Answers

Answer:

15 orders

Step-by-step explanation:

The computation of the orders did the company ship between 193 and 194 is given below:

= 1 dot + 2 dot + 3 dot + 8 dot + 1 dot

= 15 orders

We just simply count the total dots shown in the attached image in order to determine the number of orders

Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
How many pencils, p, does Mieko have?

Answers

Answer:

meiko has 32 pencils

Step-by-step explanation:

8×4=32

Meiko has 32 pencils.

What is an equation?

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

Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.

Let Mieko has x pencils,

Establishing the equation,

Therefore, according to question,

x = 4 × 8

x = 32

Hence, Mieko has 32 pencils

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ5


Classify the following polynomials by the number of terms and degrees
-2x^3 +5x

Answers

Answer:

A third degree binomial

Step-by-step explanation:

The highest power is 3 hence the 3rd degree

and there are 2 terms hence the bi-nomial

Find both the area and the perimeter of the semi circle

Answers

Answer/Step-by-step explanation:

Area of a semicircle = ½πr²

Perimeter of a semicircle = πr + d

7. d = 14 m

r = ½ of d = 7 m

Area = ½*π*7² = ½*π*49

✅Area = 76.97 m² (nearest hundredth)

Perimeter = π*7 + 14

✅Perimeter = 35.99 m (nearest hundredth)

8. d = 35 in.

r = ½ of d = 17.5 in.

Area = ½*π*17.5² = ½*π*306.25

✅Area = 481.06 in.² (nearest hundredth)

Perimeter = π*17.5 + 35

✅Perimeter = 89.98 in (nearest hundredth)

Write an
equivalent expression using the distributive property.
1/4(4x - 6)

Answers

Answer:

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]

              [tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]

Please help I need due rn

Answers

Answer:

4 3/12

Step-by-step explanation:

= 4.25 = 4 1/4 = 4 3/12

Hello, please help.

Find the value of x:

x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3

Answers

Answer:

-91x² + 5x³ - 56x -15 = 0

Step-by-step explanation:

x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³

x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²

-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³

-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x

-91x² + 5x³ - 56x + 9 - 24 = 24 - 24

-91x² + 5x³ - 56x -15 = 0

Hope this helps!

Maybe brainliest?

I need help with this

Answers

Answer:

76

Step-by-step explanation:

We know that the two angles must add up to 90 which means that

12+x-2=90

solve for x

14+x=90

x= 76

The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81

Answers

Answer:

I believe A?

Step-by-step explanation:

Please help me out!

Answers

Purple Purple is the answer

Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78

Answers

Answer:

D because you have to cos

Answer:

B and D

Step-by-step explanation:

sin(15)=0.25

cos(65)=0.42

Factorise
x^2 - 5x - 6

Answers

Answer:

(x+1)(x-6)

thats the ans :)

The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00

Answers

Answer: $28

Step-by-step explanation:

The price of water in Year 1 is $1 per unit. There are 8 units so their value is:

= 8 * 1

= $8

Price of a loaf of bread is $2. The basket contains 10 loaves of bread. Value is:

= 10 * 2

= $20

Total value of the basket in year 1 is:

= 20 + 8

= $28

Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?

Answers

9514 1404 393

Answer:

$10,000 at 5%$22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3

Answers

Answers:

B. y = 2x + 3

hope this helps

15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!

Answers

Answer:

t = 10

Step-by-step explanation:

15 = 1.5 × t

15/1.5 = t

10 = t

mark me as brainlist
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