can someone answer this
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
A square coffe shop has sides that are 7 meters long what is the coffe shops area
Answer:
49 square metres
Step-by-step explanation:
The area of a square is the length of the side times itself.
The area is 7 x 7 = 49
-9y + 4x - 20 = 0
-7y + 16 - 80
Answer:
Step-by-step explanation:
A store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. If he has 35 pounds of oolong tea that sells for $2.40 per pound, how much black tea worth $1.80
The cost of 35 pounds of oolong tea is $84.
An equation is used to show the relationship between two or more variables or numbers.
Given that oolong tea sells for $2.40 per pound.
There are 35 pounds of oolong tea available. Hence:
Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound
Cost = $84
Hence, the cost of 35 pounds of oolong tea is $84.
Find out more at: https://brainly.com/question/21105092
Answer:
35 LB (THIS IS ACTUALLY CORRECT)
Step-by-step explanation:
First, you lay it down like this:
Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both
2.4*35
=84
However, since you don't know how many pounds of black tea, you use x
Multiply like above
1.8*x
=1.8x
The total mixture is selling for $2.10
Total pounds: 35 + x (given above, or black + oolong tea
equation:
84 + 1.8x = 2.1(35+x)
84 + 1.8x = 73.5 + 2.1x (distributive property)
- 1.8x - 1.8x
84 + 0 = 73.5 + 0.3x
-73.5 -73.5
10.5 = 0.3x
3.5 = 0.1x
35 = x
What is the area of 30x40 rectangle in square units?? Will give BRAINLIEST if only correct!!!
Answer:
1200 units 30 times 40 is 1200
1200 sq units
hope this helps
Which equation equals to 105
34+12*74=
12+1*56=
88+66-49=
34+61-7=
157-43+900
(Need an image if it’s gonna work!)
please explain for brainlist
A town has approximately 1000 homes. The town council is considering plans for future development. Plan A calls for an increase of 200 homes per year. Plan B calls for a 10% increase each year. Write a function to model each plan and determine the number of homes each plan has after 3 years.
Answer:
Plan A: 1600 homes after 3 years Plan B: 1330 homes after 3 years
Step-by-step explanation:
Plan A.
200x3=600
1000+600=1600
1600 homes after 3 years
Plan B.
10% the first year =100 homes increased
10% the secound year = 110 homes increased
10% the third year = 121 homes increased
1330 homes after 3 years
It would be 1330 for plan B. And plan a 1600.
I need help and I can’t find any sadly. Help!!
1 = Given
2 = Addition Property of Equality
3 = Division Property of Equality
Can someone Please help me on this easy math problem
Which of the following is a true statement of the figure?
Answer:
1st one is correct
Step-by-step explanation:
please mark my answer in brainlist plz
The table below gives selected values for the differentiable and decreasing function f and it’s derivative. If f^-1(x), what is the value of g’(9)
According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.
By the inverse function theorem,
[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]
Can somebody please help me i need this urgently.
Answer:
multiple choice is worth 2
short response is worth 4
Step-by-step explanation:
23x + 10y = 86
28x + 5y = 76
solve by elimination
multiply the top by -1 and the bottom by 2
-23x + -10y = -86
56x + 10y = 152
add them
33x = 66
x = 2
with x = 2 plug x into one of the equations
23x + 10y = 86
23(2) + 10y = 86
46 + 10y = 86
10y = 40
y = 4
x = 2 and y = 4 so
multiple choice is worth 2
short response is worth 4
Help!! Ill give 100 points!
It is the 3rd one from the top
Answer:
I believe the answer would be C.
Step-by-step explanation:
First of all, the solution to the answer really is 1/20. If you figure out the decimal form of 4/5, it is 0.80, which is closer to 1 than to 1/2 and 0. The decimal form of 3/4 is 0.75, which is equally close to 1 and 1/2, being 0.25 from both. But it is closer to 1 than 0. I hope I’m right, and I hope this helps. :)
What is the answer to this?
Answer:
56
Step-by-step explanation:
Answer:
i think its 140 because u got to add all the sides in order to subtract from 180
i dont know if its right but that is what i think UwU
hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment
Answer:
41) 10
42) 65
43) 26
44) 33
45)65
41.)10
42.) 65
43.)26
44.)33
45.)65
hoped that helped:)
In a quadrilateral ABCD, line AC = x + 6 and line BD = 2x-4. For what value of x Is ABCD a rectangle?
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rectangle are the same length. This means ...
AC = BD
x +6 = 2x -4
10 = x . . . . . . . . add 4-x to both sides
The figure is a rectangle for x=10.
–7(2.3y − 2) simplified
Answer:
-16.1y + 14
Step-by-step explanation:
–7(2.3y − 2)
=> -16.1y + 14
Therefore, -16.1y + 14 is the simplified form.
Hoped this helped
[tex]GeniusUser[/tex]
Answer:
53
Step-by-step explanation:
sorry if im incorrect
Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum speed of 21.92 21.9221, point, 92 miles per hour ( mph ) (mph)left parenthesis, start text, m, p, h, end text, right parenthesis. Which of the following equations, where d dd is distance in miles and t tt is time in hours, represents a speed that is less than that of the leatherback sea turtle?
Answer:
ang hirap naman plss answeer
Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.
Ages of swapna and suma are 33 and 7 years old respectively
Let the present age of Swapna be xLet the age of Suma be yIf Swapna is 26 years older than her daughter Suma, then;
x = y + 26 ............... 1
6 years later:
Age of Swapna = x + 6
Age of Suna = y + 6
If Swapna will be thrice as old as Suma, then;
x + 6 = 3(y + 6) ................. 2
Substitute equation 1 into 2:
y + 26 + 6 = 3y + 18
y + 32 = 3y + 18
-2y = -14
y = 7
Since x = y + 26
x = 26 + 7
x = 33
Hence ages of swapna and suma are 33 and 7 years old respectively
Learn more on equation here: https://brainly.com/question/2972832
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)
Answer:
88 people
Step-by-step explanation:
Start with the equation of
[tex]3,000\geq 33x+80[/tex]
subtract 80
[tex]3.000\geq 33x[/tex]
then divide by 33
[tex]88.48\geq x[/tex]
round down
[tex]x=88[/tex]
PLS ANSWER AS SOON AS POSSIBLE
PLSSSS
Step-by-step explanation:
<B=180°-70°-50°=60°
hope this helps you.
WILL GIVE BRAINLIEST
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
Please help me with this, I need a real answer quickly before the period ends. Explanation if you can too pls
Answer:
(4, -6)
Step-by-step explanation:
The rule for rotation around the origin 90 degrees clockwise is
Ro, 90: (x, y) --> (y, -x)
so (6, 4) --> (4, -6)
what is x/-4 = -20 how do i sole for x
Answer:
x = 80
Step-by-step explanation:
Reverse your division by using multiplication:
x/-4 = -20
-4 x -20 = 80
what is 5,272 divided by 8 give the answer step by step
Answer: 659
Step by step solution:
Answer:
659
Step-by-step explanation:
0659
8 5272
0
52
48
47
40
72
72
0
Dividend:
5272
Divisor:
8
Quotient:
659
Remainder:
0
You may have to write this on paper because it might be hard for you to understand. I'm sorry if this isn't helping and it is very confusing, this is the only way that I could explain it. Thank you for the question and I hope you enjoy your answer :)
OK im confused for real: ok so what does 20X80X100X70X40+4=
Answer:
448000004.
Hope that helps. x
Answer:
448000004
Step-by-step explanation:
QUICK MATHS
a recipe requires the following ingredients to make 16 gingerbread men
140g of flour
250g of sugar
80g of ginger
110g of butter
how much of each ingredient would you need to make 40 gingerbread men?
How do I work this out?
Answer:
5,600 g of flour
10,000g of sugar
3,200g of ginger
4,400g of butter
Just have to multiply each ingredient by 40
HELP ME PLEASEEE !!
DON'T GIVE ME IRRELEVANT ANSWERS PLEASE
If a person tells you she is 6 feet tall, is she basing that measurement on customary units or metric units?
Answer:
Customary
Step-by-step explanation:
Answer:
it is based on customary units
In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage making it difficult to score. Larry plays quarterback for the Eagles. During the team's opening football game, the Eagles have the ball 48 yards away from the goal line. On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively. What is the distance between the ball and the goal line after these five plays?
Answer:
36 yards
Step-by-step explanation:
48 - 31 = 17
17 + 3 + 5 + 7 + 4 = 36
The total distance between the ball and the goal line is 36 yards
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
Given:
Eagles have the ball 48 yards away from the goal line.
On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards.
After first day they have yards remaining
=48 - 31
= 17
Now, the total distance between the ball and the goal line
=17 + 3 + 5 + 7 + 4
= 36
Learn more about data here:
https://brainly.com/question/15403824
#SPJ2