Factor 6y^2(y^2+6y+9) completely.

Answers

Answer 1

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]


Related Questions

what is this sphere’s volume? radius is given, please round to nearest tenth

Answers

Answer:

179.59438

rounded to the nearest tenth would be 179.6

Step-by-step explanation:

use this formula

volume = (4/3) · π · r3

Help please i cannot fail!! What is the surface area of the pyramid?

Answers

Answer:

800

Step-by-step explanation:

Check out the attached photo

Help please! I have to turn this in today.

:)

Answers

Answer:

Integer: 9

Nearest 10th: 9.5

Step-by-step explanation:

1. which expression is equivalent to 4(9+3).
Multiple Select three expressions

A. 4(12)
B. 36+3
C. 36+12
D. 4+(9+3)
E. (9+3) +(9+3) +(9+3) +(9+3)

Answers

Answer:

A. 4(12)

C. 36+12

E. (9+3) +(9+3) +(9+3) +(9+3)

Step-by-step explanation:

[tex]4(9+3)=48[/tex]

[tex]4*9=36\\4*3=12[/tex]

           [tex]48[/tex]

[tex]4*12=48[/tex]

[tex]36+12=48[/tex]

[tex](9+3) +(9+3) +(9+3) +(9+3)\\12+12+12+12[/tex]

=48

Kevin has a part time job. he earns £9 an hour. he wants to buy a new bike costing £306. how many hours does Kevin have to work to earn enough to buy it?

Answers

Answer:

34

Step-by-step explanation:

306/9=34

The answer is 34
306 dollars divided by 9 the pay = 34 hours

Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes.
Then she hikes down to an
elevation of 100 feet in 30 minutes.

What is her average rate of descent, in feet per minute, from 150 feet to 120 feet?

Answers

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.

How to determine the average rate of descent of a hiker

Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:

r = Δz/Δt     (1)

If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:

r = 30 ft/40 min = 0.75 ft/min

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]

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what is 6/4 in its simplst form

Answers

it would be 3/2 i believe

Answer:

Fraction form: [tex]\frac{3}{2}[/tex]
Decimal form: 1.5
Mixed number form: 1 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Find the greatest common factor between the two numbers in the fraction, in this case the largest number both can be divided by equally is 2, so,

Take [tex]\frac{6}{4}[/tex] and divide both parts by 2:

6 ÷ 2 = 3

4 ÷ 2 = 2

Which gives you [tex]\frac{3}{2}[/tex]

PEMDAS 4+5 x (6-2) what the answer ​

Answers

4+5 x (6-2)
4+5 x (4)
4+ 20
24

Answer:4(5x+1)

Step-by-step explanation: you want to subtract the numbers 4+5x(6-2)/4+5x(4) so you'll need to  multiply 5 and 4 so 4+5x*4 but i'm goin to make it smaller so it would be 4+20x  but you have to rearrange it instead of it being 4+20x it would be 20x+4 .And the common factor would be 4(5x+1).

I hope this helps and makes sense.

Create 2 data sets with 5 numbers that have the same mean but different medians.

Answers

Step-by-step explanation:

mean = sum of all data points / number of data points

median = the number, where half of the other numbers is larger, and the other half is smaller.

4 4 5 6 6

2 2 3 9 9

both mean values are 5.

the median of the 1st is 5, if the second is 3.

You buy tomatoes in 25 lb cases one portion of salad requires. 75 oz of tomatoes how many portions can be made with one case

Answers

1 lb = 16 oz
so 25 lbs = 400 oz

if each salad requires 75 oz and you have 400 oz, divide 400/75

400/75 = about 5.3

since you can’t really have a third of a salad, you will be able to make 5 FULL portions with one case

final answer: 5 portions

hope this helped!!

Calculate the value of X​

Answers

X=5.281
Please give me brainliest I need it

Need help with the answer

Answers

Answer:

sine(∡DAB) = 0.5

Step-by-step explanation:

∡[tex]ACD=[/tex]∡[tex]ADB[/tex] = 60°

∡[tex]DAB=(180-90-60)^{o} =30^{o}[/tex]

[tex]sin(30^{o})= 0.5[/tex]

Hope this helps

Solve the following:

four and seven twelfths plus six and nine twelfths

Answers

Ans:

11 and four twelfths

Step-by-step explanation:

If r = 11, t = 3, s = 9, then 8r - 10s =

Answers

Answer:

-2

Step-by-step explanation:

plug values for r and s into the equation 8r - 10s.

so, 8(11) - 10(9)

88 - 90 = -2

hope this helps!

8 x 11 - 10 x3 = -2

Which expression is equivalent to |x| < 11?


x > –11 or x < 11


x < –11 and x > 11


x < –11 or x > 11


x > –11 and x < 11

Answers

the answer is x > -11 and x > 11 :)

Find the exact value of tan 195°.

Answers

[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]

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

Question 1: What are the solutions to the following graph, and what is the equation of the axis of symmetry?
Question 3: What are the coordinates of the vertex of the graph, and is it a minimum or a maximum?
Question 4: Can a parabola have both a minimum and a maximum point? Explain.
Question 5: Look at the following quadratic function. What is the domain of this function?
A) -∞ B) -5 C) -2 D) -∞ Question 6: Look at the following quadratic function. What is the range of this function?
A) -2 B) -5<=y<∞
C) -∞ D) -∞

Answers

Q1: Solutions: x = 2 and x = 4, Axis of symmetry: x = 3.

Q3: (x, y) = (-3, 5).

Q4: A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex.

Q5: [tex]x \in \mathbb{R}[/tex]

Q6: [tex]y \in [-5, + \infty)[/tex]

How to analyze second order polynomials graphically

Graphically speaking, second order polynomials are represented by parabolas. In this question we must interpret the graphs to find all the required information.

Question 1

The solutions to the graph are those values of x such that the graph goes through the x-axis and the axis of symmetry is a line that goes through the vertex ot the parabola and is perpendicular to the width of the curve.

Thus, the solutions to the graph are x = 2 and x = 4 and the axis of symmetry is x = 3. [tex]\blacksquare[/tex]

Question 3

The vertex is the extreme point of a parabola, which may be a minimum or a maximum, but never both. The vertex of the parabola is located at (x, y) = (-3, 5). [tex]\blacksquare[/tex]

Question 4

A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex. [tex]\blacksquare[/tex]

Question 5

The domain of the function is defined by the set of x-values such that the function exists. Thus, the domain of the quadratic function is [tex]x \in \mathbb{R}[/tex]. [tex]\blacksquare[/tex]

Question 6

The range of the function is defined by the set of y-values such that the function exists. Thus, the range of the quadratic function is [tex]y \in [-5, + \infty)[/tex].  [tex]\blacksquare[/tex]  

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A recipe uses brown sugar and caster sugar in the ratio 3:2. What fraction of the sugar is caster?

Answers

Answer:

2/5 of the sugar is caster sugar

Use rounding to estimate the product of 296 and 2, 423. Round both
numbers to the nearest hundred to find your answer.
The solution is

Answers

Answer:

Step-by-step explanation:

no problem


296 rounded to the nearest hundred would be 300 and 2423 would be 2400 there hope it helps

The product of 296 and 2.423 rounded to the nearest hundred would be 717.20

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.

We need to find the product of 296 and 2.423

296 x 2.423 = 717.20

Thus, 717.20 rounded to the nearest hundred .

Learn more about rounding numbers  here:

https://brainly.com/question/1285054

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If you’re 16 how many months would you have to live to be 66

Answers

Answer:

ig 2 months

Step-by-step explanation:

If you were born in 1955 your full retirement age is 66 and 2 months. If you start receiving benefits at age 66 and 2 months you get 100 percent of your monthly benefit. If you delay receiving retirement benefits until after your full retirement age, your monthly benefit continues to increase.

For $1.80 a grocer buys a case of fruit which contains 12 dozen. He knows that 2 dozen will spoil before he sells them. At what price per dozen must he sell the good ones to gain 1/3 of the whole cost?

Answers

Answer:

i didnt understand the awnser fully but if i did the awnser is 5 cents a donut

Step-by-step explanation:

I assume you mean she wants to make 50% profit, based on a cost of $1.80/dozen. (The wording is ambiguous. If the problem was presented as you posted it, it's from a pretty sloppy text.)

10x = 1.5(1.80*12)
x = 3.24

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.How many cookies did Cindy receive? Write your answer as an expression.

Answers

Answer: 29 cookies.

Step-by-step explanation: 96/8=32       32-3=29        boom. maths.

The number of cookies baked by Grandma= 96

If she divides them evenly amount 8 children, then by division operation the number of cookies received by each child = (number of cookies) ÷ (number of children)

= (96) ÷ (8) = 12

Since, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.

Hence, the number of cookies received by Cindy = 12-c

how many inches are in 12 ft

Answers

Answer:

the answer is 144

Answer:

144 inches

Step-by-step explanation:

There are 12 inches in 1 foot,

So 12 times 12 is 144 inches.

Which of the following will form the composite function G(F(x)) shown
below?
G(Fx)) = 3(/* +1)
A. Fx) = x + 1 and G(x) = 13x
B. Fx) = 3x and G(x) = 5x + 1
C. F(x) = 3x and G(x) = 1
D. F(x) = 5x + 1 and G(X) = 3x

Answers

Answer:

Step-by-step explanation:

A

The given composition function is combination is F(x)=√x+1 and G(x)=3x. Therefore, option D is the correct answer.

The given function is G(F(x))=3(√x+1).

F(x)=√x+1 and G(x)=3x

The composite function is G(F(x))

Replace x by √x+1 in 3x, we get

3(√x+1)

Therefore, option D is the correct answer.

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For the equation z – 14 = 29. Jaun says that the solution is 33.Check solution work by substitutions it into the equation .Is his solution correct. Explain

Answers

Answer:

Jaun's solution is incorrect.

Step-by-step explanation:

If Jaun's solution to the equation is 33, we can check this by substituting z=33 and solving 33 - 14 = 29. Since 33-14=19 and 19 does not equal 29, Jaun's answer is incorrect.

Hope this helps! :)

What is the area of a triangle that has a
base of 15 1/4 in. and a height of 18 in.?

PLS I NEED HELP ASAP
Thank youuuuuu

Answers

To find the area of the triangle

  ⇒ must know the area of the triangle's formula

     ⇒ [tex]\frac{1}{2} *base*height[/tex]

Let's look at the information given:

base length ⇒ [tex]15\frac{1}{4}[/tex] in ⇒ [tex]\frac{61}{4}[/tex] (when converted into an improper fraction)height length ⇒ 18 in

Let's solve:

 [tex]Area=\frac{1}{2} *base*height=\frac{1}{2} *\frac{61}{4} *18 = 137.55in^2[/tex]

Thus the area is 137.55 square inches

Hope that helps!

how long does it last for Fanger print

Answers

Answer:

A fingerprint can last on a surface from 2 hours to 40 years on average.

Step-by-step explanation:

Most fingerprints will get erased due to impact from humidity and heat.

If it costs $.25 per square yard to seed an area of grass, how much does it cost to seed in the inside of this track

51yd, 102yd, 51yd, and 110yd

Answers

The price that it cost to seed the inside of this track is $1,040.4

How to calculate the area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A  = length * width

Let the length be 51 and the width be 102 yd such that:

Area of the grass = 51 * 102
Area of the grass = 5202 square yard

If it costs $.25 per square yard to seed an area of grass, the price fror the area inside the track is:

Price = 0.2 * 5202
Cost of the track = $1,040.4

Hence the price that it cost to seed the inside of this track is $1,040.4

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Renee bought her mother 2 pounds of ground coffee. Her mother uses 4 ounces per
day to brew coffee. Did Renee buy her mother enough coffee for a week?
Begin by converting 2 pounds to ounces. Choose the words and numbers to
complete the statements.
Part A
A pound is a Choose...
v unit than an ounce, so Choose...
the
number of pounds by 16 to find the number of ounces. Therefore, 2 pounds is equal
to Choose...
ounces.

Answers

Answer:

I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!

Step-by-step explanation:

please help me on this

Answers

Answer:

monkey is monkey so monkey and monkey conbided = baby little happy monkey

Step-by-step explanation:

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