factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor

Answers

Answer 1

Answer:

[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]

Step-by-step explanation:

[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?

Answers

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?

Answers

Answer:

x = 48 (in degrees, I assume)

Step-by-step explanation:

Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.

In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.

The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.

Therefore,       2x + 2 = x + 50

                         -x - 2 = -x -  2

                          x       =    48

Which of the following best describes term response variable

Answers

The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.

The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).

Learn more:

brainly.com/question/5598457

Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.

Answers

answer is 30°

50-20=30°

hope it helps

Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.

This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan

Answers

Answer:

The correct answer is B. Financial analysis.

Step-by-step explanation:

Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.

Answer:

B.

Step-by-step explanation:

Ruby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.​

Answers

Answer:

4 dozens.

Step-by-step explanation:

Since Ruby, Joey and Sully are baking cookies together, and they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies, since Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter, if the students have plenty of other ingredients that they need, to determine how many whole batches of a dozen cookies can they make the following calculation must be performed:

Flour: 2 + 1 + 1 1/4 = (4 1/4) / (3/4) = 4.25 / 0.75 = 5.666

Butter: 1/4 + 1/2 + 3/4 = (1 1/2) / (1/3) = 1.5 / 0.333 = 4.504

Thus, a maximum of 4 dozen cookies can be made.


A baby girl weighed 6 pounds at birth and 8
pounds one month later. How many ounces
did the baby gain in her first month of life?
A. 16 ounces
В.
64 ounces
C. 32 ounces
D. 48 ounces

Answers

The answer is c 32 ounces

Answer: C

Step-by-step explanation:

1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!

A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?

Answers

61 boxes :)

A= lw

We know the area and one of the variables-

518.50= 8.5w

Divide 518.5 by 8.5

518.5/8.5= 61

61 boxes!

i'm a little bit confused about this question.

Answers

Answer:

4

Step-by-step explanation:

The number 4 is in the ones place

1 3 4 . 0
thousand hundred ones

At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?

Answers

Answer:32

Step-by-step explanation:25+ 1(7)

Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answers

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches

Answers

Answers:

Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball

===============================================

Work Shown:

Beach ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6

V = 904.32

V = 904 cubic inches is the approximate volume of the beach ball

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

Toy ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3

V = 113.04

V = 113 cubic inches is the approximate volume of the toy ball

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

Divide the two volumes to find that 904/113 = 8

This means that the beach ball is 8 times greater in volume compared to the toy ball

We can say

[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]

The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is  6,333.

Hope this helps.


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer:

97.6

Step-by-step explanation:

Answer:

97.6

Step-by-step explanation:

Solve for the unknowns.
a, b , c ,d

Answers

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

please help me with this

Answers

There is no picture or information!

1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent​

Answers

Answer:

He loses 100 Rs. during the process of buying and selling.

Step-by-step explanation:

1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.

2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.

3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.

4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.

( Now there are 2 scenarios in this case )

1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.

2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .

( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )

I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.

I hope this helped have a good day!

Answer:

Profit %= 50%

Step-by-step explanation:

Price for 40 bulbs: Rs.800

Price for 1 bulb each: 800/40= Rs 20

Price for 10 bulbs= 10*20=Rs. 200

This means that Rs. 200 were wasted due to 10 bulbs being broken.

The remaining bulbs; 30 are sold at a price of Rs 30 each.....

In reality, the price of the remaining 30 bulbs: 30*20=600

Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900

Profit=  SP-CP; Profit= 900- 600= Rs 300

Profit%= 300*100/600= 50%

Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17

Answers

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?​

Answers

Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime

Which one, please?!
Quickly!

Answers

Answer:

c) FJ and GH

Step-by-step explanation:

A set of perpendicular lines form 90 degrees. We can see a 90 degree “square” in the image formed by FJ and GH.
So the answer is choice C) FJ and GH

I NEED HELP NOW PLZ!!!

Answers

Answer:

c

Step-by-step explanation:

x=-8

y= -5

therefore y=-5

and c is the answer

Answer is B, try to put the value
Y=-5
X=-8
Y=5/8 x
-5=5/8 (-8)
Which is
-5=-5

Which equation is correct?

75 × 4 = 70 + 5 × 4

75 × 4 = 70 × 4 + 5 × 4

75 × 4 = 700 × 4 + 5 × 4

75 × 4 = 70 × 4 + 5

Answers

The answer is A
75 x 4= 70 + 5 x 4

Which of the following are characteristics of the cubic parent function? Select all that apply .

Answers

Answer:

A C & D

Step-step explanation:

What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)

Answers

Answer:

(1, 2)

Step-by-step explanation:

Use the midpoint formula

x1 + x2 / 2 ,  y1 + y2 / 2

-2 + 4 / 2 ,  -2 + 6 / 2 =

( 1, 2 )

cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216

Answers

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

what is the area of this square (look at the picture)

Answers

Answer:

484

Step-by-step explanation:

22 times 22

this one anyone can help

Answers

Answer:

Diagram 1:

a = 54°

b = 54°

Diagram 2:

a = 74°

b = 106°

c = 106°

d = 65°

e = 65°

Step-by-step explanation:

Diagram 1:

a = 54° (alternate angles are equal)

b = a (vertically opposite angles are equal)

a = 54°

Therefore,

b = 54°

Diagram 2:

a = 74° (alternate angles are equal)

a + b = 180 (sum of angles on a straight line)

74 + b = 180

Collect like terms

b = 180 – 74

b = 106°

74 + c = 180 (sum of angles on a straight line)

74 + c = 180

Collect like terms

c = 180 – 74

c = 106°

d = 65° (corresponding angles are equal)

e = d (vertically opposite angles are equal)

d = 65°

Therefore,

e = 65°

Which fraction is equivalent to the whole number 8?

Answers

Answer:

16/2, 32/4, 64/8 ...

Step-by-step explanation:

There are multiple fractions that equal 8

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

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