For binomials of the form (x - y) ^ n explain how to determine the sign of a term without writing out the entire expansion

Answers

Answer 1

Answer:

When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.

For example:

(x - y)² = x² − 2xy + y²

(x - y)³ = x³ − 3x²y + 3xy² − y³

(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴

etc.


Related Questions

Which system of equations has infinitely many solutions? On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines intersect at (negative 1, 0). On a coordinate plane, a line has a negative slope.

Answers

Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.

Answer:

The correct answer is the last graph (C).

Step-by-step explanation:

edge 2020


Please help I’ll mark brainlist

Answers

Answer:

m=-24

Step-by-step explanation:

Subtract 12 on both sides

m + 12 - 12 = -12 - 12

m = -24

there are answer choices !

Answers

Answer:

1

Step-by-step explanation:

m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁

m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1

The equation for this relationship is

y = x + 5

answer is 1 (space fillersqllelrlfkxkwkekfnjcxk)


Different cities have different sales tax rates. Here are the sales tax charges on the same items in two different cities.
Complete the tables.

Answers

I think the lamp is 26.5? because maybe it is 25+1.50 since the first one was 8.00+0.48 I'm not sure about the others sorry:( I hope you'll get your answer though!

What decimal is equivalent to 4/15

Answers

Hey there!

In order for you to find out the decimal form a fraction, just simply DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number) and you should be able to find out your answer!

Formula:

NUMERAATOR / DENOMINATOR = ANSWER

NUMERATOR ➡️ 4

DENOMINATOR ➡️ 15

4 / 15 = answer

4 / 15 = 2.667

POSSIBLE ANSWER: 2.667 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

HELP MEEE!
7th gradeeeee

Answers

Answer:

Distribuitive Property (I think)

Step-by-step explanation:

This example is can be shown in another way, like:

1.(a+3) = a+3

You apply the distribuitive multiplying "a" and "3" by "1".

And then you can take away the parentheses.

What is the range of this graph?

Answers

Answer:

[-2, infinite)

Step-by-step explanation:

range of the graph will be [-2, positive infinite)

The answer would be -2 infinite

help please, 25 points! pythagorean thereom

Answers

Answer:

the pythagorean thereom is a^2 + b^2 = c^2

Step-by-step explanation:

to find the length of the hypotenuse use a^2 + b^2 = c^2 or b^2 + a^2 = c^2

but in order to find the length of the legs use c^2 - a^2 = b^2 or

c^2 - b^2 = a^2

what’s the slope? thanks if you help me :)

Answers

y=1/2X + 1 so 1 is the slope

The drama club sold 209 evening show tickets for $18.50 each and some afternoon show tickets. They want to make $5,700 for the two shows. If afternoon show tickets cost $11.75 each, how many afternoon show tickets do they need to sell to reach their target amount

Answers

Answer:

156

Step-by-step explanation:

209x18.50=3866.5

5700-3866.5=1833.5

1833.5÷11.75=156.04

What is the slope of a line perpendicular to the line y = −14x – 1?

Answers

Answer:

        m = ¹/₁₄

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = -14x - 1   ⇒   m₁ = -14

-14×m₂ = -1        ⇒    m₂ = ¹/₁₄

So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄

SWEET POINTS IF YOI TELL ME WHAT THIS IS !!

Answers

Answer:

Area of circle

Step-by-step explanation:

No matter what, area stays the same

35% of 15 is what number

Answers

Answer: 5.25

Step-by-step explanation: .35*15=5.25

Answer:

5.25

Step-by-step explanation:

change the percent to a decimal by moving the dot to the left two places, then multiply it by the number

0.35*15=5.25

Emelina loaded 96 trucks in 8 hours. At that rate, how many trucks
would she load in 15 minutes?

Answers

Answer:

3

Step-by-step explanation:

60 × 8 = 480 (mins)

96 (trucks) = 480 (mins)

÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)

3 = 15

So 3 trucks would have been loaded in 15 mins

Kim's hair grows at the rate of 1 2 inch per month. How many months will it take for her hair to grow 12 inches?

Answers

Answer:

24 months

Step-by-step explanation:

The computation of the number of months taken to grow 12 inches is as followS:

Given that

It takes half inches per month

i.e.

0.5 inches ........... 1 month

12 inches .......... ?

So for 12 inches it would take

= 12 inches ÷ 0.5 inches × 1 month

= 24 months

Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.

Answers

Answer:

The price to make maximum revenue is 1 and the maximum revenue is 2000.

Step-by-step explanation:

Consider the provided information.

Revenue is the product of the number of sales and the sales price.

Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].

[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]

[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]

The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.

The vertex(axis of symmetry) of a downward parabola has the maximum point.

The axis of symmetry is  [tex]x=\frac{-b}{2a}[/tex]  for the quadratic equation [tex]ax^2+bx+c=0[/tex].

By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:

[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]

Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .

[tex]p=\frac{-4000}{2(-2000)}[/tex]

[tex]p=1[/tex]

So revenue will be maximum for [tex]p=1[/tex].

Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]

[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]

[tex]\text{Revenue}=-2000 + 4000[/tex]

[tex]\text{Revenue}=2000[/tex]

Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.

Maximum revenue generated = $2000

Price at which the maximum revenue is generated = $1

Maximization of the revenue:

Steps to find the maximum revenue,

Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.

Given in the question,

Price of one cookie = p    Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',

        x = -2000p + 4000

Expression for the revenue generated = Price of one cookie × Number of cookies sold

R = p(-2000p + 4000)

R = -2000p² + 4000p

For the maximum revenue,

"Find the derivative of the expression for revenue and equate it to zero"

R' = -4000p + 4000 = 0

4000p = 4000

p = $1

For p = 1,

R = -2000(1) + 4000

R = $2000

       Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.

Learn more about the maximization here,

https://brainly.com/question/11859895?referrer=searchResults

A video store charges $15 for a rental card plus $1.50 per rental. Write a linear equation in
slope-intercept form to model the situation.

Answers

Answer:

15 + 1.50x

Step-by-step explanation:

Can someone help me?

Answers

Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

y=2(x+3)^2+4 => y= 2x^2+12x+22

Y= 4(x+3)^2+2 => y= 4x^2+24x+38

Step-by-step explanation:

pLeAsE hElP mE...!!!!!!????? wut is 20 x 87

Answers

Answer:

69

jk 1740

Step-by-step explanation:

Answer:

well, the required answer is 1740

Step-by-step explanation:

it can be written as

=》 20 × ( 80 + 7 )

=》 1600 + 140

=》 1740

Use the diagram below to solve for x and y. Please help! Fast if possible.

Answers

Answer:

x = 27

y = 29

Step-by-step explanation:

Can someone help me ?!

Answers

Answer:

y<-2x-3

Step-by-step explanation:

Your first step is to find the equation of the line. You can see that the y-intercept is -3, therefore your b is -3. So now your formula looks like this:

y=mx-3

To find m, you substitute in an x value and its corresponding y value. When you do this you will get -2.

Now it looks like this:

y=-2x-3.

Now that you have the equation of the line, you can look at the inequality. Since the line is dotted, that means it is not included in the inequality. That mean it cannot contain an equal to. So the only options we have are < and >. Since the shaded area is to the left, which is the negative side, we can conclude that y<-2x-3 is the correct equation.

HOPE THAT THIS IS HELPFUL!

write a short math peom

Answers

Answer:

roses are red violets are blue 1 + 1 = 2

Step-by-step explanation:

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1.) Ivan made a scale drawing of his cell phone using the scale factor 1 mm = 2 in. How long is the drawing of his phone if the actual phones is 8 inches? 21 A recine for rice pudding calls for 2 y cuns of​

Answers

Answer:

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Step-by-step explanation:

Triangle ABC has vertices A(-4, 1), B (-1, 3) and C (-1, 1). what would the vertices be if you graphed it’s reflection over the y axis

Answers

If this coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

Generally, if a coordinate (x, y) is reflected over the y-axis, the coordinate of the pre-image is (-x, y).

Note that the x-coordinate was negated while the y-coordinate remain the same.

Given the coordinate vertices of a triangle A(-4, 1), B (-1, 3) and C (-1, 1), if these coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

Learn more on reflection here: https://brainly.com/question/1908648

PLEASE HELP ITS DUE SOON ILL GIVE BRAINLIEST IF U EXPLAIN UR ANSWER :((

Answers

Answer:

none

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is a graph of y=2

the domain is {-∞< x<∞}, x can be any real Number

Solve for x]. The polygons in each pair are similar.

Answers

3x-21=0
21=21
3x/3 = 21/3
X= 7

1) Find
dy/dx
given y^2= x

Answers

dy/dy^2

we can cancel out the variable “d” by simply dividing. after we do so, we are left with y/y^2. when dividing variables with exponents, you subtract the exponent from the denominator’s variable from the exponent in the numerators variable.

for example, since we have just “y” as the numerator, we can think of it as “y^1”
so, y^1/y^2
y^1-1=y^0
we are left with y^0 or 1, over y^1 or y. think of this as 1/y

Create a line through point B perpendicular to and label the intersection of the perpendicular line and point D. Measure and record BD and m∠BDA. What do you know about ∆ABD and ∆BCD based on their angle measurements? (If you accidentally move point B before taking your measurements, use the "Move B back to initial position" button.)

Answers

Answer:

BD  =  8

m∠BDA  =  90°

∆ABD and ∆BCD are both right triangles, each with two known side lengths.

Step-by-step explanation:

Direct answer from PLATO so change it a bit.

Can somebody please help (There's a screenshot)

Answers

inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

please help me on this!

Answers

Answer:

9*572=5148

Step-by-step explanation:

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