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

2) The bicycle shop charges $15 plus $6.50
per hour to rent a bike. How many hours
did Henry pay to rent the bike if he paid
the shop $327?

Answers

327 - 15 = 312
312 / 6.5 = 48 hours

Answer:

48 hours

Step-by-step explanation:

Subtract 15 from 327

Divide result by 6.5

15. An irregular pentagon has side lengths of (x + 3), (2x - 4), (4x + 5),
(3x – 1), and x. Which simplified expression represents the pentagon's
perimeter?
A 11x - 3
B 24x + 60
C 11x + 3
D -9x + 3

Answers

Answer:

A. 11x-3

Step-by-step explanation:

perimeter=sum of all sides

=(x+3)+(2x-4)+(4x+5)+(3x-1)+(x)

= 11-3

Answer:

Step-by-step explanation:hry

The cost of 1 pen and 4 pencils is $2.70. If each pen costs 5 times as much as each pencil, how much do 7 pens and 5 pencils cost?

Answers

Answer:

18.00

Step-by-step explanation:

0.45 x 5 = 2.25

2.25 x 7 = 15.75

2.25 + 15.75 = 18.00

It’s 18.00. Hope this helps

12. The win-loss record for a football team is 15 wins and 9 losses. What percent of their games
did they win?

Answers

Answer:

62.5%

Step-by-step explanation:

if they won 15 and lost 9 games then they played a total of 24 games (15+9).  Then you just divid the number of wins (15) by the total number of games they played (24).  SO, 15/24=0.652 or 62.5%

Fourth eight time four

Answers

Answer:

2

Step-by-step explanation:

We have a multiplication problem within a whole number and a fraction.

When multiplying fractions with whole numbers, you always multiply the whole number with the numerator of the fraction.

[tex]\frac{numerator}{denominator}[/tex]

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

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

[tex]\frac{16}{8}[/tex]

Divide 16 by 8 :

[tex]2[/tex]

ax² + ax, a x2 + a²x​

Answers

Answer:

ax(x+1)

ax(x+a)

Step-by-step explanation:

ax² + ax

= ax(x+1)

ax² + a²x

= ax(x+a)

hope it helps ☺️

Jamey has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does Jamey have?

Answers

Answer:

7

Step-by-step explanation:

the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes

By the given ratio, Number of pennies does Jamey have are 7.

What is a ratio?

"A ratio compares values. A ratio says how much of one thing there is compared to another thing."

According to the question

Jamey has 4 quarters, some dimes, and some pennies.

Ratio of quarters to dimes is 8:6

So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]

⇒ [tex]8d = 6(4)[/tex]

⇒ [tex]d=\frac{6}{2}[/tex]

⇒ [tex]d=3[/tex]

Ratio of pennies to dimes is 7 : 3

So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]

By substituting d = 3

⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]

⇒ [tex]p = \frac{7}{3}(3)[/tex]

⇒ [tex]p =7[/tex]

Hence, number of pennies does Jamey have are 7.

Learn more about ratio here

https://brainly.com/question/10167786

#SPJ2

3.

On a coordinate plane, a line segment has P(6,2) and Q(3,8).

Point M lies on PQ and divides the segment so that the ratio

of PM:MQ is 3:2. What are the coordinates of point M?

A. (4.5, 5.0)

B. (5.6, 4.2)

C. (4.8, 4.4)

D. (4.2, 5.6)

Answers

Answer:

[tex]M(x,y) = (4.8,4.4)[/tex]

Step-by-step explanation:

Given

[tex]P(x_1,y_1) = (6,2)[/tex]

[tex]Q(x_2,y_2) = (3,8)[/tex]

[tex]m:n = PM:MQ = 3 : 2[/tex]

Required

Determine the coordinates of M

To solve this, we make use of the following partition formula:

[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]

Substitute values for m, n, x's and y's

[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]

[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]

[tex]M(x,y) = (4.8,4.4)[/tex]

Option D is correct

What combination of transformations is shown below
2
translation, then rotation
translation, then reflection
rotation, then reflection
rotation, then translation

Answers

Answer:

rotation then translation

Step-by-step explanation:

I took it and I got it right

Ill mark brainliest please answer!

Answers

Answer:

Step-by-step explanation:

You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc

A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]

B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]

C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]

D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]

Hurry pls need answers
10pts

Answers

Answer:

Why is the pic black

Step-by-step explanation:

Find the diffrence between 7/8 and 1/2 and find the sum of 1/5 and 2/3

Answers

Answer:

3/8 and 13/15

Step-by-step explanation:

find the common denominator

The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.

Answers

Answer:

7.7%

Step-by-step explanation:

Given that,

The price of oil decreased from $52 per barrel to $48 per barrel.

We need to find the percentage decrease in the price of oil. It can be calculated as follows :

[tex]\%=\dfrac{52-48}{52}\times 100\\\\=7.69\%[/tex]

or

= 7.7%

So, the percentage decrease in the price of oil is 7.7%.

Answer:7.7%

Step-by-step explanation:

Is a=2.1, b=7.2, c=7.5 a right triangle?

Answers

Answer:

Yes

Step-by-step explanation: Use the pythagorean theorem to see if true, a^2+b^2=c^2

Answer:

Yes it is

Step-by-step explanation:

2.1

taria has 14 pencils, Ted has 9 pencils, Tom has 12
encils, Lucinda has 13 pencils, and Jumana has 12
encils How can they redistribute the pencils so that
they all have the same amount How many pencils
hould each person have

Answers

Answer:

that would all have 7 pencils each

Answer:

Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils.

Homework 9.4 Equations and Word Problems
The flag of a country contains in the senseless triangle if the measure of the third angle of the triangle is 30° more than twice the measure of either of the other two angles find the measure of each angle of the triangle

Answers

Answer:

idc

Step-by-step explanation:

Q1: In the isosceles triangle below the legs are twice the
length of the base. The perimeter is 100 cm. What are the
dimensions of the isosceles triangle?

Answers

Answer:

The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

Step-by-step explanation:

An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:

X + 2X + 2X = 100

5X = 100

X = 100/5

X = 20

Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

If 3+a=4-b and 4+b=7+a, what is 3-a?

Answers

Step-by-step explanation:

3+a=4-b

4+b=7+a

a=1-b

4+b=7+1-b

2b=4

b=2

a=1-2= -1

3-a= 3- -1= 3+1=4

3-a=4

Answer:

The answer is 4.

Step-by-step explanation:

First, you have to form simultaneous equations :

[tex]3 + a = 4 - b[/tex]

[tex]a + b = 1 - - - (1)[/tex]

[tex]4 + b = 7 + a[/tex]

[tex]a - b = - 3 - - - (2)[/tex]

Next, you have to solve it :

[tex](1) - (2)[/tex]

[tex]a + b - (a - b) = 1 - ( - 3)[/tex]

[tex]2b = 4[/tex]

[tex]b = 2[/tex]

[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]

[tex]a + 2 = 1[/tex]

[tex]a = 1 - 2[/tex]

[tex]a = - 1[/tex]

Lastly, you have to substitute a-value into the expression :

[tex]3 - a = 3 - ( - 1) = 4[/tex]

Given the following sets:
A = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
B = {3, 6, 9, 12, 15, 18}
C = {4, 8, 12, 16, 20}
Find:
n (A)

Answers

Answer:

n (A) = { 2,4,6,8,10,12,14,16,18,20}

n(A) = 10

I hope it helps

what is 6 more than -3 in integers​

Answers

Answer:

3

Step-by-step explanation:

-3 + 6 would be 3.

hope it helps!

6 > -3


- More than means ‘ > ’
- Less than means ‘ < ’
- More than or equal to means ‘ ≥ ’
- Less than or equal to means ‘ ≤ ’

Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 11/2 cups
of sugar. What is the maximum number of cookie batches he can make?

Answers

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X < 10

11/2 X < 8

11X < 16

X < 1 6/11

So he can make only one batch of cookies.

(3x ^ 2 - 4 + x ^ 3) / (x - 1)
Synthetic Division

Answers

Answer:

i love algebra anyways

the ans is in the picture with the steps

(hope it helps can p lz have brainlist it will make my day

Step-by-step explanation:

Find the surface area of this rectangular prism: Don't forget to show the unit of measure.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the attachment of the prism is not given.

From the attachment:

[tex]L =10cm[/tex] -- Length

[tex]W = 4cm[/tex] -- Width

[tex]H=5cm[/tex] -- Height

Required

Determine the volume

So, the volume is:

[tex]Volume = Length * Width (* Height[/tex]

[tex]Volume = 10cm * 4cm * 5cm[/tex]

[tex]Volume = 200cm^3[/tex]

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 51 feet less than the height of the pole. If the wire is to be 24 feet longer than the height of the pole, what is the height of the pole?

Answers

Answer:

Height is 135 ft

Step-by-step explanation:

Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.

Then we can use the Pythagorean theorem to solve for the height (h):

h^2 + (h - 51)^2 = (h + 24)^2

h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576

grouping all terms on the left of the equal sign, we get:

h^2 -150 h + 2025 = 0

This gives two possible answers:

h = 135

and

h = 15

We opt for h = 135, because the other solution will render a negative leg for the triangle.

After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:

Bumper Cars:

6 minutes: 8 tickets

8 minutes:12 tickets

Which one gives you more time for your money?

Answers

The answer will be the 6 minute one. If you do 8/6 you find the unit price of 1.3 tickets for each minute compared to 12/8 which is 1.5 tickets for each minute

In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per credit hour

Answers

Answer:

63%

Step-by-step explanation:

From the question, we aim to find the percent increase in the tuition

Given data

initial cost= $99 per credit hour

Final cost=  $268 per credit hour

% increase= (Final - initial )/initial *100

substitute

% increase= (268- 99 )/268 *100

% increase= 169 /268 *100

% increase= 0.630*100

% increase= 63%

Hence the increase in the tuition from 1990 to 2003 is 63%

A computer technician charges $60 for coming to your house plus $76 per hour for labor. If the total bill for repairs is $269, how long did the work take?

Answers

Answer:

[tex]2\frac{3}{4}[/tex] or 2.75, depending on what you need.

Step-by-step explanation:

Subtract $269 by the service fee ($60). This will be $209.Divide $209 by $76 to calculate hours. This will be 2.75.(optional) We know that 0.75 is [tex]\frac{3}{4}[/tex], so let's take 2.75 and convert it into [tex]2\frac{3}{4}[/tex]. This is your answer.

Which of the following expressions is equivalent to 1 over 4 open parentheses 8 x plus 12 close parentheses ?

A: 2x+12
B: 5x
C: 2x+3
D: 14x

Answers

The answer is C - 2x +3
Because... 1/4(8x+12)
multiply 1/4 into 8x and into 12 (use pemdas if confused)
1/4 by 8X is 2x... same as 8/4
1/4 by 12 is 3... same as 12/4
It is c 2x+3 is equivalent to it

There are 750 students at school. The ratio of the number of students who do not wear glasses to the number of students who wear glasses is 500:250. Which of the following statements are correct? Select ALL that apply.

Answers

Answer:

what are the options

Step-by-step explanation:

Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3​

Answers

Correct Answer: y=5x+4 it is parallel to y=5x-3 and it goes through point (0,4)

y=5x-7 is also parallel to y=5x-3 although it doesn’t go through point (0,4)

y=-5x-3 is obviously not parallel to y=5x-3 because it intersects to it
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