how to factor g2 − 32g + 256

Answers

Answer 1

Answer:

Using the snowflake method, you have to find the factors of 256 that add up to get 32.

The result will look like this:

(g-16)(g-16)

Answer 2

Answer:

[tex](g-16)^2[/tex]

Step-by-step explanation:

[tex]g^2-32g + 256[/tex]

To factor it you should remember that

[tex](a-b)^2 = a^2 -2ab+b^2[/tex]

It is easy to seee that

[tex]32 = 2 \cdot 16[/tex]

and

[tex]256 = 16^2[/tex]

Therefore

[tex]g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2[/tex]


Related Questions

Jill had 4 full pans of brownies. Each pan was the same size. She gave 1/2 of the original amount of brownies to her friends. She then gave 1/4 of what was left to her teacher.

Answers

Answer:

She gave 2 pans to her friend.

She gave 1/2 pan to her teacher.

She has 1.5 pans left.

Step-by-step explanation:

A map has a scale of 2 in: 6 mi. If Clayton
and Centerville are 10 in apart on the map
then how far apart are the real cities?

Answers

Both cities are 30 miles apart in real

Student A: Types 32 words in 1 minute
Student B: Types one word in 0.05 minutes
Who types faster

Answers

Answer:

student A types faster

Step-by-step explanation: if student B can only type one word in 0.05 minutes then he would only be typing 20 words per minute, compared to the 32 student A can type.

Find the Unit Rate.
216 diving students to 12 instructors

Answers

Answer: 216 diving students to 12 instructors = 18 students per instructor.

Step-by-step explanation:

a b c d or d helpp pleas!

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.

An athlete eats 75 g of protein per day while training. How much protein will she eat during 21 days of training? Write your answer in kilograms.​

Answers

Answer:

1.575 kg

Step-by-step explanation:

75g x 21

1575 g

convert to kg

1.575 kg

Brainliest Appreciated!

Three partners started a business with a joint capital of rs 1200000 if they invested in the ratio of 2:5:3 , how much did each invest​

Answers

Number of business partners who started a business = 3

The total money they invested = 1200000

The ratio in which they invested = 2 : 5 : 3

Total number of parts = 2 + 5 + 3 = 10

Each part = 1200000 ÷ 10

Each part = 120000

Number of parts invested by one of the partners = 2

Money they invested = 120000 × 2

Money they invested = 240000

Number of parts invested by another partner = 5

Money another partner invested = 120000 × 5

Money they invested = 600000

Number of parts invested by the third partner = 3

Money invested by the last partner = 120000 × 3

Money they invested = 360000

Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .

m∠3 = 57. Find m∠1. (I'm just typing here to meet the 20 character min.)

Answers

Answer:

The correct answer is 57 degrees.

Step-by-step explanation:

To solve this problem, we must remember that vertical angles (angles that are across from each other) are congruent, which means that they have the same measure.  

In the diagram, angle 3 and angle 1 are vertical angles, so we can conclude that they have the same measure.

Therefore, m<1 = m<3 = 57 degrees.

Hope this helps!

Factor completely n2+3n+2

Answers

I’m assuming you mean n^2 + 3n + 2?

The 2 on the right has factors of 2 and 1, which can also add together to get three. We will use these numbers to factor.

We are left with:
(n+2)(n+1)

This is it’s factored form. Good luck!

The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

Answers

Answer:

a) x = 798   is the quantity that maximizes the profit

b)po(x) = 401 $/unit

c)P(max ) = 636105 $

Step-by-step explanation:

The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:

R(x) = p(x) * x

R(x) = ( 800 - 0,5*x ) * x

R(x) = 800*x - 0,5*x²

The equation for the profit is:

P(x) = R(x) - C(x)

P(x) = 800*x - 0,5*x² - ( 300 + 2*x)

P(x) = 798*x - 0,5*x² - 300

a) P(x) = 798*x - 0,5*x² - 300

Taking derivatives on both sides of the equation:

P´(x) = 798 - x

If P´(x) = 0     then    798 - x = 0

x = 798   is the quantity that maximizes the profit

b) Selling price for the optimal quantity is:

p(x) = 800 - 0,5*x

p(x) = 800 - 0,5* 798

po (x) = 800 - 399

po(x) = 401 $/unit

c) Pmax = ?

P(x) = 798*x - 0,5*x² - 300    by subtitution of  x = 798

P(max) = 636804 - 399 - 300

P(max ) = 636105 $

a) The quantity that will maximize profit is [tex]100 \ units[/tex].

b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.

c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].

Demand Function:

A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

Learn more about of Demand Function: https://brainly.com/question/25938253

Explain how the sample proportion p-hat can be viewed as the sample mean X-bar.

Answers

Answer:

Step-by-step explanation:

we need the picture

4x = 7y + 5 what is the slope

Answers

Step-by-step explanation:

7y=4x-5

y=(4/7)x-5/7

slope is equal to m where m is

y=mx+b

in this case m is 4/7

so slope =4/7

Slope=4/7
Hoped I can help!

A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.

Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.

(Choose 3 Choices)

Question 1 options:

a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2


a dilation by a scale factor of 2 and then a reflection across the y-axis


a clockwise rotation of 90 degrees and then a reflection across the y-axis


a translation 5 units down and then a dilation by a scale factor of 2


a translation 5 units down and then clockwise rotation of 90 degrees


a reflection across y-axis and then translation 5 units down

Answers

Answer: a c e are the correct ones i think

what is 37737332732.83838-388733883.6 equal?

Answers

Answer:

4838388.34?

Step-by-step explanation:

2. Determine all the common factors and two
common multiples of 12 and 56. Show
your work.

Answers

Alternatively, the gcf of 12 and 56 can be found using the prime factorization of 12 and 56:

The prime factorization of 12 is: 2 x 2 x 3.

The prime factorization of 56 is: 2 x 2 x 2 x 7.

The prime factors and multiplicities 12 and 56 have in common are: 2 x 2.

2 x 2 is the gcf of 12 and 56.

gcf(12,56) = 4.

Help me please! I need help ASAP.

Answers

Answer:

the answer is B

Step-by-step explanation:

I’m pretty sure the answer is b

Solve The equation mx + 3b = 25 for x *

Answers

x = 25 - 3b.

subtract 3b from both sides of the equation

Can someone tell me what to write of how I found the answer please?

Answers

Answer:

-16.22

Step-by-step explanation:

You take both numbers and subtract normally because adding a negative number and a positive number is the same as subtracting them without the signs so you do 22.45-6.23 and you get 16.22 and then you just put the negative sign in front and you get 16.22.

Could I please have BRAINLIEST?

I need help !!
Don’t understand it..

Answers

Answer:

d

Step-by-step explanation:

Answer:

B. h(x)=(x+1) (10x-1)

Step-by-step explanation:

B. h(x) = (x+1) (10x-1)

h(x)=10x^2+10x-x-1

h(x)=10x^2+9x-1

Please I need some answers a few is fine

Answers

I may be wrong but in order from least to greatest
On A 36 comes before 4 but 36 is greater than 4 so it can’t be A

On B 19 comes before 15 so it can’t be B

On C 81 is bigger than 11 but 81 comes first

So that leaves D. I may be wrong but from process of elimination it leaves D
i think it is D, A, B, C

What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1

Answers

Answer:

-6

Step-by-step explanation:

6x + y = -1

y = -6x-1

slope which is m is -6

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Ronald and Tim both did there laundry today Ronald does laundry laundry every 6 days and Tim does laundry every 9 days how many days will it be until Ronald and Tim both do there laundry on the same day again

Answers

Answer: 18 brainiest plz

Step-by-step explanation:

First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18  

Then 9,18 so 18 days

Answer:

18

Step-by-step explanation:

Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)

Answers

Answer:

y = 3x+7

Step-by-step explanation:

The standard form of equation in slope-intercept form is:

y = mx+c

m is the slope

c is the intercept

Given the coordinates (-3, -2) and (3, 16)

Get the slope;

Slope = ∆y/∆x

Slope = y2-y1/x2-x1

Slope = 16-(-2)/3-(-3)

Slope = 16+2/3+3

Slope = 18/6

Slope = 3

Get the Intercept

Substitute one of the points in the formula:

Using the coordinate (-3, -2)

y = mx+c

-2 = 3(-3)+c

-2 = -9 + C

c = -2+9

c = 7

Get the equation of the line by substituting m and c into the equation y = mx+c

y = 3x+7

Does anyone know this answer

Answers

2. Square root of 112

A bug starts at the origin of the coordinate plane. The bug moves One-fourth units right and One-fourth units down to point A. Which graph shows the location of point A?

Answers

Answer:

the answer would be d

Step-by-step explanation:

i took the test on edge2020

Answer:

D

Step-by-step explanation:

Edg 2020

the product of -4 and a number is 36 find the number?​

Answers

Answer:

32

Step-by-step explanation:

if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32

pls mark brainlest for real :,,(

0.16
As a repeating fraction

Answers

Answer:

What are you asking for?

Step-by-step explanation:

I'll answer again i just need to know more srry lo

0.16 as a fraction is 1/6

63.9 x 7.0

Help plz

Answers

Answer:

447.3

Step-by-step explanation:

Answer:

447.3

Step-by-step explanation:

 63.9

x   7.0

_____

447.3

The equation of the line in the graph is y = ___ x + ___ .
I really need the help :) thx

Answers

Answer:

y= 1x-1 or y= x-1

Step-by-step explanation:

Make sure we know the equation y = mx +b

Remember M= slope, B= Y-intercept

We can see that the slope (rise over run)  is 1 so we plug in the 1 for M

Y= 1x +b

Now we have to look for the Y-intercept which is -1

making our equation now: Y= 1x -1

Hope this helps!!

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