Find the product. (6y - 2)2

A. 36y2 - 24y + 4
B. 36y2 + 24y = 4
C. 36y2 + 4
D. 12y2 - 16y + 4​

Answers

Answer 1

Answer:

A. 36y² - 24y + 4

Step-by-step explanation:

Use identity

(a ± b)² = a² ± 2ab + b²

Here we have a = 6y, b = 2

(6y - 2)² = (6y)² - 2(6y)(2) + 2² = 36y² - 24y + 4

Correct choice is A


Related Questions

Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?

Answers

Answer:

16.

Step-by-step explanation:

Multiply 20 and 4/5 to get the result of who is going.

20 * (4/5)

(20*4)/5

80/5

16

16 friends will be going to the party.

Answer:

16 friends

Step-by-step explanation:

Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?

4/5 * 20 or 20 * 4/5

[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]

Therefore, 16 friends are going to the party.

Hope this helps!

Chris completes a word search in 3 minutes. Oliver takes
20 seconds longer. How long did Oliver take?
seconds

Answers

Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

Help me please anybody. And I am in my school iPad

Answers

Answer:

(0,5)

Step-by-step explanation:

I'm really not sure but I'm pretty positive that this is the answer if not than my bad

Help picture below problem 4

Answers

Answer:

Step-by-step explanation:

Line segments:  MN ,  NO  , MO

Line segment has beginning and ending point

- Kristen bought a container of spice for
her chili recipe. If a batch of the recipe
calls for 1 of the container of spice,
how many batches of chili can Kristen
make from that container?
Help!!!!!

Answers

Answer:

1 container per batch so 1 batch is 1 comtsiner

a) the cost of. kg oranges is rs 350 how many kg of oranges can be bought for rs 665
b.). A car travel for 50 km.with the help of 5 litres of petrol how many litres of petrol is reauired to travel 120 km​

Answers

A: 1.9 Kilograms of oranges for rs 665.

B: 12 liters of petrol will make a car travel 120 km.

(3/5)^2 + 4 x 3 - 2




Please help :)

Answers

Answer:

[tex]10 \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]

Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done.

Answers

The answers is X = 23

Answer:

x=23

Step-by-step explanation:

2x-6/4 = 10

2x-6 = 10(4)

2x-6 = 40

2x = 40+6

2x = 46

x = 46/2

x = 23

Given the points (-10, -3) and (4,8) find the slope.

Answers

Answer: [tex]\frac{11}{14}[/tex]

Step-by-step explanation:

1) Identify Format

(x1,y1) = (−10,−3)

(x2,y2) = (4,8)

2) Use the Slope Formula

m=y2−y1x2−x1

=8−−3/4−−10

=11/14

=11/14

Bonus: Graph

Answer provided by Education Point

Help picture below problem 13

Answers

Answer:

the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3

Step-by-step explanation:

A culture started with 3000 becteria. after 8 hours it grew to 3300 becteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number. p=ae^kt

Answers

Answer: I think 5000

Step-by-step explanation:

I’m probably completely wrong lol sorry

solve the equation: 4 x 2 + 8 = - 7
X=

Answers

Answer:

Hope the picture will help

[tex]\frac{16}{7}[/tex]Answer:

X = -16/7

Step-by-step explanation:

Multiply the numbers

4 x 2 + 8 = -7x

8 + 8 = -7x

Add the numbers

8 + 8 = -7x

16= -7x

Divide both sides by the same factor

16= -7x

16 divided bu -7x and -7x divided by -7x

Simplify

-16 divided by 7 not negative 7 and -7 divided by -7

Cancel terms that are in both the numerator and denominator

cancel out -7 divided by -7 and you get -16/7 left

so, therefore x= -16/7

                             

3x²+5xy=–4
xy–2x=—3
[tex]solve simultinously[/tex]

Answers

[tex]xy - 2x = - 3[/tex]

[tex]xy = 2x - 3[/tex]

____________________________________________

[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]

[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 11 = 0[/tex]

[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]

[tex]delta = 100 + 132[/tex]

[tex]delta = 232[/tex]

Thus;

[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]

[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]

[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]

[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]

____________________________________________

If x = 0.8716 then :

[tex]0.8716 \: y = 2(0.8716) - 3[/tex]

[tex]0.8716 \: y = 1.7432 - 3[/tex]

[tex]0.8716 y= - 1.2568[/tex]

[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]

[tex]y = - 1.4419[/tex]

And if x = - 4.205 then :

[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]

[tex] - 4.205 \: y = - 8.410 - 3[/tex]

[tex] - 4.205 \: y = - 11.410[/tex]

[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]

[tex]y = 2.7134[/tex]

And we're done

Have a great day ♡

what number is between 1.3 and 1.45

Answers

Step-by-step explanation:

1.3+1.45/2

= 1.75/2

=0.875

There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?

Answers

Answer:

85 dogs have signed up to compete

Step-by-step explanation:

its 85 small dogs because 49+36=85


How much of a radioactive kind of promethium will be left after 20 days if you start with
9,056 grams and the half-life is 5 days?

Answers

in 20 days 4 half life will be completed

so n = 4

formula :-

[tex] \frac{ A\degree}{ {2}^{n} } = \frac{9056}{ {2}^{4} } = \frac{9056}{16} = 566grams[/tex]

The radioactive kind of promethium will have 566 grams left after 20 days.

What is half-life?

Half-life is the time required for a quantity to reduce to half of its initial value.

Given, A radioactive kind of promethium with 9,056 grams and a half-life is 5 days.

∴ In the next 5 days, it'll have (9056/2) = 4528 grams.

Next 5 days it'll have (4528/2) = 2269 grams.

As it has a half-life in 5 days and 20 is multiple (4×5).

After 20 days the radioactive material will have (9056/2⁴) grams.

= 566 grams left.

learn more about half-life here :

https://brainly.com/question/16387602

#SPJ2

The daily sleep duration among college students is normally distributed with a mean of 8.13 and standard deviation of 1.87. You want to use a sample size such that 95% of the averages fall within +/- 15 minutes (.25 of an hour) of the true mean of 8.13. Determine the smallest number of students you need to sample.

Answers

Using the z-distribution, as we have the standard deviation for the population, it is found that 215 students must be sampled.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The margin of error is of M = 0.25, with a population standard deviation of [tex]\sigma = 1.87[/tex], hence we solve for n to find the minimum sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.25 = 1.96\frac{1.87}{\sqrt{n}}[/tex]

[tex]0.25\sqrt{n} = 1.96(1.87)[/tex]

[tex]\sqrt{n} = \frac{1.96(1.87)}{0.25}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(1.87)}{0.25}\right)^2[/tex]

[tex]n = 214.9[/tex]

Rounding up, 215 students must be sampled.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Zoe planted a walnut tree. Every week, she measures the tree and records its
growth. On the first week, the tree was 27 1/2 inches tall. On the second week, it was
29 1/4 inches tall. On the third week, it was 31 1/3 inches tall. How much did the tree
grow from the first week until it was measured on the third week? Show your work.

Answers

The tree grew about 3.83 inches between the first and third week.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

On the first week, the tree was 27 1/2 inches (27.5) tall. On the second week, it was 29 1/4 inches (29.25) tall. On the third week, it was 31 1/3 inches (31.33) tall.

The length grown = 31.33 - 17.5 = 3.83 inches

The tree grew about 3.83 inches between the first and third week.

Find out more on equation at: https://brainly.com/question/2972832

3. Monthly sales figures for January are 5600. This is expected to fall for the following 9 months at a rate of 2% each month. Thereafter sales are predicted to rise at a constant rate of 4% each month. Estimate total sales for the next two years (including the first January).​

Answers

For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the  total sales for the next two years  is mathematically given as

A=11968.04

What are total sales for the next two years (including the first January).​?

Generally,  the  total sales  is mathematically given as

A=5600(1-2/100)^9(1+4/100)^24

A=5600(.98)^9(1.04)^24

A=11968.04

In conclusion, total sales for the next two years

A=11968.04

Read more about Arithmetic

https://brainly.com/question/22568180

MARK AS BRAINLIEST PLS HELP
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n

output
5
6
12
?

Answers

Answer:N=12
?=24
wydaje mi się że to poprawna odpowiedź ale nie jestem pewny





The outputs are addition of 4 to their inputs therefore,if the input is n then the output will also be an addition of 4 hence n+4

If you could help me out I would appirecate it. The question is 4 (3x + x)
12x. And when ever you see the x you put 6

Answers

no. correct answer: 16(x)

using BODMAS rule:

4(3x+x)4(4x)16x

Answer:

no they are not, explanation down.

Step-by-step explanation:

4(3x + x)

4(3×6 + 6)

4(18 + 6)

4(24)

96

12x

12×6

72

hope dis helps!!!!!

Solve for X and Y 1. y = 2x
6x + 3y = 12

2. y = -4x + 2
y = 6x - 8

3. y = x - 4
-4x - 6y = -16

4. x = 3y + 1
2x + 4y = 12

Answers

Answer:

Step-by-step explanation:

1.  If y =2x

solve for y in (6x +3y) = 12

6x + 3(2x) = 12,   6x + 6x =12

12x = 12 ,  x= 1

to find y ,   from y =2x

y = 2(1)  , ( x = 1 and y = 2)

2.  y = -4x + 2

    y = 6x -8

y = (-4x + 2)(6x-8)

= -4x ( 6x -8) + 2(6x-8)

-24[tex]x^{2}[/tex] + 32x + 2(6x-8)

-24x2 + 44x - 16

3.  y = x -4

  -4x -6y = -16

  -4x - 6(x - 4) = -16

 -4x - 6x - 24 = -16

-10x - 24 = -16

-10x = -16 + 24,   -10x = -8

x = 0.8 , to get y , we input x value into eqn(y = x-4)

y = 0.8 -4,   y = -3.2

x = 0.8,   y = -3.2.

4.  x = 3y + 1

 2x + 4y =12

2(3y + 1)  + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12

10y = 12 -2

10y = 10

y = 1,  to get x

x = 3y + 1

x = 3(1) + 1 ,  x = 4

( x = 4 and y = 1).

QUICK PLEASE Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.

Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4

Josiah’s work:

StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.

Answers

Answer:

Sample 1

Step-by-step explanation:

Find the vertex of this parabola:
y = -x2 - 4x - 2

Answers

Hello!

[tex]===============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]

Remember, a parabola looks like so:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]

Simplify:

[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]

Divide:

[tex]\hookrightarrow\sf{-2}[/tex]

[tex]===================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:

[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]

Find LCD in number 16 and multiply all numerators by it to clear the fractions

Answers

The LCD of the given terms of expression will be x² - 4 since others can divide it.

How to find the LCD

The least common denominator is the smallest number or expression of all the common multiples of the denominators when 2 or more fractions or expressions are given.

Given the terms of the expressions

(x+2)(x-2) and (x^2 - 4)

Expand (x^2 - 4) using the difference of two square:

x² - 4 = x² - 2²

x² - 4 = (x+2)(x-2)

Based on the expansion, we can conclude that the LCD of the given terms of expression will be x² - 4

Learn more on LCD here:https://brainly.com/question/19249494

Pls help im in a hurry

So im in 7th grade and im doing a practice test and you know my brain doesn't work so i need answers.
I have 10 mins to take it

Pls help

Answers

Answer:

x = -3.5

y = 1.5

so W = (-3.5, 1.5)

Step-by-step explanation:

Write an inequality for the graph shown below.
User for your variable.
X
o
?

Answers

Answer:

3 > x

Step-by-step explanation:

3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.

I hope this helps!

-No one

A guest walks in and needs a room for the night. The rack rate for rooms is 15% higher than the average rate of $165 per night. What rate will the walk-in guest pay for the night?

Answers

The rate which the walk-in guest is how fast a guest needs a room

The rate which the walk-in guest pay for the night is $189.75

How to determine the rate?

The given parameters are:

Average rate = $165 per night

The walk-in guest is 15% greater than the average rate.

So, the rate of the walk-in guest is:

Walk-in = 165 * (1 + 15%)

Evaluate the product

Walk-in = $189.75

Hence, the rate which the walk-in guest pay for the night is $189.75

Read more about rates at:

https://brainly.com/question/8728504

a railroad crossing sign has a diameter of 30 inches. what is the area of the sign?

Answers

Answer:

706.5m^2

Step-by-step explanation:

The sign is a circle

Area of a circle is (pi)r^2

d = 30 in -> r = d/2  = 30/2 = 15

Area = 3.14 x (15)^2 = 706.5m^2

Answer:

about 706.5 or 706.86

Step-by-step explanation:

to find this answer we need to use the area formula of a circle which is A = πr ^2

we know the diameter is 30, and the radius is half the of diameter, so we take 30 and divide it by 2, which should give us 15 for the radius. ( 30/2 = 15, so r = 15)

depending on how your teacher wants u to answer this you can use π on a calculator or use 3.14

now just plug in your numbers to formula

A = 3.14 * 15^2 or A = π * 15^2

and should equal about 706.5 or 706.86 (depending on if you use 3.14 or π)

PLEASE HELP
The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent?What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent?

Part C: Describe the constraints of the domain.

Answers

Answer:

See below ↓

Step-by-step explanation:

Part A

The x-intercepts represents when the profit of the company is 0 dollars. It means they are making no profit when selling the pens at that price

Part B

y-value when x = 3 ⇒ 120y -value when x = 5 ⇒ 60rate of change = Δy/Δx = -60/2 = -30This rate represents the depreciating profit of the company when increasing the price of a pen from $3 to $5

Part C

Domain of the graph is only true for positive values of yDomain ⇒ 0 ≤ x ≤ 6

Answer:

Part A

The x-intercepts are when f(x) = 0.

Since x represents the price of pens, and f(x) represents the company's profit, the x-intercepts give the price of the pens when the profit is zero.

⇒ the profit is zero when the price of pens are $0 and $6

The maximum value of the graph (vertex) represents the cost of pens when the profit is at its highest.  Therefore, the optimal amount to price the pens to get the maximum profit.

⇒ maximum profit of $120 occurs when the pens are priced at $3

Part B

[tex]\sf average \ rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

From inspection of the graph, f(3) = 120 and f(5) ≈ 60

[tex]\sf \implies average \ rate \ of \ change=\dfrac{60-120}{5-3}=-30[/tex]

This means that as the price of the pens increases by $1 (between $3 and $5), the average profit decreases by approximately $30.

Part C

The domain is the set of input values (x-values).  As the price of a pen cannot be less than zero, the domain will be x ≥ 0

Unless the company is happy to make a loss, the restricted domain should be 0 ≤ x ≤ 6

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