Factor 4x^3 + 40x^2 + 100x

Answers

Answer 1

Answer:

4 x (x + 5)^2

Step-by-step explanation:

Factor the following:

4 x^3 + 40 x^2 + 100 x

Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:

4 x (x^2 + 10 x + 25)

The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):

4 x (x + 5) (x + 5)

(x + 5) (x + 5) = (x + 5)^2:

Answer: 4 x (x + 5)^2


Related Questions

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Adding the negative value in front of x flips the graph lacrosse the Y axis and compressed it vertically.

The answer is C.

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.

Step-by-step explanation:

The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.

Which point lies on the Y axis been on the X axis (0,0) (0,-3) (1,3) (3,0)

Answers

Answer:

(0,-3)

Step-by-step explanation:

Answer: The second number goes on your X axis and the first number goes on your Y axis .

Step-by-step explanation:

(0,0)=Y,X

Estimate a 15% tip on a dinner bill of $52.87 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

$ 7.9

Step-by-step explanation:

Amount of bill = $52.87 = $52.9

Amount of tip = 15% of $52.9

[tex] = \frac{15}{100} \times 52.9 \\ \\ = 0.15 \times 52.9 \\ = 7.935 \\ = \$ \: 7.9 \\ [/tex]

How many milliliters is 719.01 liters?

Answers

Answer:

719010

Step-by-step explanation:

5. Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a
distance of 5 units from the x-axis and 3 units from the y-axis. Jeffrey places a treasure at point J, and
Garrett places one at point G. Who put the treasure in the right place? Explain how you know.

Answers

Answer:

Garret placed the treasure at the right place.

Step-by-step explanation:

The Cartesian plane can be used to locate the position of any given point with a coordinate. It consists of two numbered lines perpendicular to each other and intersecting at point zero of the lines.

From the statements given, 5 units from x-axis is not the same as 5 units on x-axis. Also, 3 units from y-axis is not the same as 3 units on y-axis.

So, distance 5 units from x-axis implies that a point 5 units after the x-axis. And also, distance 3 units from y-axis means 3 units after the y-axis.

With these conditions of the coordinate of the treasure, Garrett placed the treasure at the right place.

Answer:

carl amd melly was so kind

Please can someone help?
I will give you brainliest and points :)

Answers

Answer:

216 ft³

Step-by-step explanation:

A cone has 3 sides

72ft³ times 3 is 216 ft³

Answer:

216 ft by 3

Step-by-step explanation:

This is my alt account btw so don’t brainliest this account, the other one.

A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose that sugar is added to the tank at a rate of p pounds per minute that sugar water is removed at a rate of 1 gallon per minute and that water in the tank is kept well mixed. What value of P should we pick so that that when 5 gallons of sugar solution is left in the tank the concentration is .5lbs of sugar/gallon?

Answers

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

of sugar. Let [tex]S(t)[/tex] be the amount of sugar in the tank at time [tex]t[/tex]. Then [tex]S(0)=25[/tex].

Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

[tex]\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}[/tex]

and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

[tex]\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}[/tex]

Separate variables, integrate, and solve for S.

[tex]\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt[/tex]

[tex]\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt[/tex]

[tex]-100\ln\left|P-\dfrac S{100}\right|=t+C[/tex]

[tex]\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t[/tex]

[tex]P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}[/tex]

[tex]\dfrac S{100}=P-Ce^{-100t}[/tex]

[tex]S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}[/tex]

Use the initial value to solve for C :

[tex]S(0)=25\implies 25=100P-C\implies C=100P-25[/tex]

[tex]\implies S(t)=100P-(100P-25)e^{-100t}[/tex]

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

[tex]1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}[/tex]

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

of sugar, so we pick P such that

[tex]S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}[/tex]

What is the square root of -1?

Answers

Answer:

i

Step-by-step explanation:

i means imaginary because whatever you try you can't get a number which squared gets a negative number.

A farmer is having problems with birds eating her crops. She tries putting up different numbers of scarecrows to keep the birds away. The average number of crops eaten is 200, and the average number of scarecrows she has put up is 20.
The farmer finds some of the linear regression equation:
number of crops eaten = a - 0.8*(number of scarecrows).
What is the value of the intercept?

Answers

Answer:

The value of the intercept is a=216.

Step-by-step explanation:

We define "s" as the number of scarecrows and "C" the number of crops eaten.

The farmer finds the linear regression equation:

[tex]C=a-0.8s[/tex]

We have a linear function, for which we only know the slope (m=0.8) and a point within it (when s=20, C=200).

We can find a replacing the variables C asn s with the known point (20, 200):

[tex]C=a-0.8s\\\\C(20)=a-0.8(20)=200\\\\a=200+0.8*20=200+16\\\\a=216[/tex]

The value of the intercept is a=216.

Quickly Please!
Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?
3x2 – 5x + 7 = 0
3x2 – 5x – 1 = 0
3x2 – 10x + 6 = 0
3x2 – 10x – 1 = 0

Answers

Answer:

3x^2-10x+6=0

Step-by-step explanation:

3x^2-10x+6=0

Δ=10^2-4*3*6=100-72=28

V28=V4*7=2V7

x1=(10+2V7)/6=2(5+V7)/6=(5+V7)/3

x2=(5-V7)/3

Answer:

d

Step-by-step explanation:

edge

Solve for yyy.
6=2(y+2)
y=

Answers

y = 1, hope this helps!

A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.

Part A
Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
A. b = 13g
B. b = 12g
C. b = 23g
D. b = 32g

Part B
Which equation relates the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.
A. p = 13b
B. p = 12b
C. p = 23b
D. p = 34b

Answers

Answer:

Part A = B.

Part B = A.

Step-by-step explanation:

Find the mean for each set of data.
3. cost of tennis shoes: $57, $63, $60, $59, $61

Answers

Answer: the men’s of this set of numbers is 60

Step-by-step explanation:

Add all the numbers together and then divided but the amount of numbers in the set

What is 50% of 30 and what is 30% of 10

Answers

Answer:

50% of 30 is 15.

30% of 10 is 3

Find the value of x. Round to nearest tenth.
A. 24.2
B. 17.0
C. 20.1
D. 16.0

Answers

Answer:

The answer to the question is A

Suppose n balls are distributed in n boxes in such a way that each ball chooses a box indepen- dently of each other. (a) What is the probability that Box #1 is empty? (b) What is the probability that only Box #1 is empty? (c) What is the probability that only one box is empty? (d) Given that Box #1 is empty, what is the probability that only one box is empty? (e) Given that only one box is empty, what is the probability that Box #1 is empty?

Answers

Answer:

Check the explanation

Step-by-step explanation:

a) Probability that Box #1 is empty is computed here as:

= Number of ways to distribute each of the the n balls in remaining (n - 1) boxes / Total ways to distribute n balls into n boxes

= [tex]\frac{(n-1)^n}{n^n} = (1 - \frac{1}{n})^n[/tex]

This is the required probability here.

b) Probability that only 1 box is empty is computed here as:

= Number of ways to choose one of the remaining (n - 1) boxes such that it will have 2 balls * Number of ways to select 2 balls of that box* permutation of remaining (n - 2) balls into (n - 2) boxes / Total ways to distribute n balls into n boxes

= [tex]\frac{\binom{n-1}{1}\binom{n}{2}(n-2)!}{n^n}[/tex]

= [tex]\frac{(n-1)n!(n-2)!}{2n^n}[/tex]

= [tex]\frac{n!(n-1)!}{2n^n}[/tex]

This is the required probability here.

c) Probability that only 1 box is empty is computed here as:

= Number of ways to select a box which would be empty * Probability that only that box would be empty ( from previous part)

= [tex]\frac{n*n!(n-1)!}{2n^n}[/tex]

= [tex]\frac{(n!)^2}{2n^n}[/tex]

This is the required probability here.

d) Given that box #1 is empty, probability that only 1 box is empty is computed here as:

= Probability that only box 1 is empty / Probability that box 1 is empty

We will use the answers from parts a) and b) here to get:

=[tex]\frac{ \frac{n!(n-1)!}{2n^n}}{\frac{(1 - n)^n}{n^n}}[/tex]

= [tex]\frac{n!(n-1)!}{2(1-n)^n}[/tex]

This is the required probability here.

e) Given that only 1 box is empty, probability that box #1 is empty is computed here as:

= 1/n as each box is equally likelt to be empty

Therefore 1/n is the required probability here.

Helpppp plzzzz what is the measure of /_x

Answers

Answer:

100

Step-by-step explanation:

To solve the equation, -6(x + 2) = 30, you can distribute the negative number and then use the

Answers

-6(x+2)=30
-6x-12=30
-6x=18
x=-3

If the general term of a sequence is 4 then the sequence is

Answers

Answer:

4,8,12,16,24,32,36.......

Step-by-step explanation:

Please help me I’ve been stuck for awhile

Answers

Hey there! I'm happy to help you out!

Let's think of our original price ($P) as 100%. This is also the same thing as 1 because 100% is one whole thing.

Now, we see that he got a 15% off discount. Now, we just subtract 15% from 100% to see what percent he actually payed.

100%-15%=85%

This means that $R is 85% of $P (100%).

Answer A is not correct because 0.85% is less than 1%, which is not 85%.

Answer B is not correct either because 0.15% is also less than 1%.

Answer C is correct because $R is 85% of the original cost.

I hope that this helps! Have a wonderful day!

Which are the center and radius of the circle with this equation?
x^2 - 4x + y^2 + 2y = 0

Answers

Answer:

C = (2, - 1)

[tex]r \: = \: \sqrt{5} [/tex]

Step-by-step explanation:

Look at the picture

What is the square root of -1?
-j.
-1

Answers

Answer:

Its not a real number for the square roots of negative number

its not possible... [tex]\sqrt{-4}[/tex] = -2 x -2   no...   2 x 2   no..... -2 x 2 yea but thats not square root anymore...

Step-by-step explanation:

Give me brainliest!!!

At the school store, Budi bought 161616 pencils, 222222 erasers, and 141414 stickers.
How many total items did Budi buy at the school store?

Answers

Answer: The answer is 606060.

Step-by-step explanation: Its pretty simple all you do is add like this and you will get the answer you are needing. If this helped leave a like and try to respond. ❤

Answer:

606060.

Step-by-step explanation:

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

x>108

Step-by-step explanation:

A. Circle
B. Kite
C. Rectangle
D. Trapezoid
ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!

Answers

Answer:

it is option A bro

follow me if it is helpful

I thin the answer is C tell me if it rong

a) what is the theoretical probability of landing on A ? write fraction in simplest form .

Answers

Answer:

13/50; 13/50

Step-by-step explanation:

a): Theoretical=# of favorable outcomes/# of total outcomes

To find the total, add 21+26+25+28, which is 100

A has a frequency of 26.

That would be 26/100, which is also 13/50

b): Experimental probability is based on the amount of times the spinner is spun. Since A is the only vowel in "MATH", we would take that fraction and multiply it by 100, or the number of times.

13/50*100=13*2=26

Put that over 100, which would be 26/100, which is also 13/50.

Hope this helped! Have a good rest of your day!

Sara can type 80 words a minute.
How many words can be typed in 6.5 minutes?

Answers

Answer:

520

Step-by-step explanation:

80 times 6.5 = 520

so she can type 520 words in 6.5 mins

Answer:

The answer would be 520

Step-by-step explanation:

We have 80 words per minutes:)

It asks how much words can we type in 6.5 minutes.

well if we do 80 words per minute we can multiply the values

80 words x 6 minutes is 480

But wait we have .5 left

so we do 80 divided by 2 and get 40

then we go 480 plus 40 and get 520

we could have straight out multiplyed it and got this but thats no fun.

520 Words for 6.5 mins :)

Can i get brainliest

In the number 6,789,043, which digits is in the millions place?

Answers

6 is in the millions place.
It has six zeroes after it.

Answer:

the number 6 is in the millions place

Step-by-step explanation:

the millions place is the sixth digit in the number family

and it also has six numbers after the number

Mr. Otsuki has 25 bills worth $300. He has $5, $10, and $20 bills. How many of each type of bill could he have if he has exactly ten $20 bills and at least nine $5 ...

Answers

Answer:

Mr. Otsuki could have:

10 $20 bills

5 $10 bills

10 $5 bills

but there are many other ways.

Step-by-step explanation:

We already know that Mr. Otsuki already has at least $245.

10 $20 bills - $200

at least 9 $5 bills - $45

300 - 245 = 55

55 can be made up in many different ways

5 tens + 1 five

9 fives+ 1 tens

4 tens + 3 fives

5 fives+ 3 tens

2 tens + 7 fives

So there are like five answers to this question:

A.

10 $20 bills

5 $10 bills

10 $5 bills

B.

10 $20 bills

1 $10 bills

9 $5 bills

C.

10 $20 bills

4 $10 bills

3 $5 bills

D.

10 $20 bills

3 $10 bills

5 $5 bills

10 $20 bills

2 $10 bills

7 $5 bills

Which best describes the range of numbers that satisfy the inequality x> 124?
The range of numbers has an upper limit but no lower limít.
The range of numbers has a lower limit but no upper limit.
The range of numbers has a lower limit and an upper limit.
The range of numbers has neither a lower limit nor an upper limit.

Answers

Answer:

Answer shown below

Step-by-step explanation:

The range has a lower limit but no upper band limit

(124, infinity)

Answer:

B: The range of numbers has a lower limit but no upper limit.

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

I took the test and I got 100%.

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