Answer:
the thing is black for me.. pls retake
Step-by-step explanation:
The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?
Answer:
m = 8Step-by-step explanation:
Given the expression:
x³(x−y)⁷−y³(x−y)⁷
This can also be written as (x³-y³)(x-y)⁷
(x³-y³)(x-y)⁷= (x-y)⁷ (x³-y³)
Expand (x³-y³)
x³-y³ = (x-y)(x²+xy+y²)
Substitute back into the original expression:
(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)
Comparing the result with (x−y)^m(x^2+y^2+nxy).
(x-y)⁸ = (x-y)^m
m = 8
Also:
nxy = xy
n = xy/xy
n = 1
Hence the value of m is 8
The value of m is 8
The expression is given as:
[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]
Factor out (x - y)^7 in the above expression
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]
Expand out (x^3 - y^3) as the difference of two cubes
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]
Combine the common factors
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]
Rewrite the expression as:
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]
The expression format is given as:
[tex](x-y)^m(x^2+y2^+nxy)[/tex]
So, we have:
[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]
By comparison, we have:
[tex]m = 8[/tex]
Hence, the value of m is 8
Read more about expressions at:
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the integers -10 and 10 are=
Answer:
Opposites of each other?
Step-by-step explanation:
I am not sure, the only thing that is not making them equal to each other is that they have opposite signs.
please answer asap no trolls
2 box plots. The number line goes from 55 to 105. For pitcher 1, the whiskers range from 55 to 105, and the box ranges from 85 to 95. A line divides the box at 94. For pitcher 2, the whiskers range from 71 to 106, and the box ranges from 78 to 102. A line divides the box at 90. The two box plots show the data of the pitches thrown by two pitchers throughout the season. Which statement is correct? Check all that apply. Pitcher 1 has a symmetric data set. Pitcher 1 does not have a symmetric data set. Pitcher 2 has a symmetric data set. Pitcher 2 does not have a symmetric data set. Pitcher 2 has the greater variation.
Answer:
its c because i got it right
Pitcher 1, because he has the lesser amount of variability in his pitches.
Answer:
B and C Are your answers :)
Step-by-step explanation: I did it on Eng.
Which set of steps will translate f(x) = 6X to g(x) = 6x – 5 – 7?
Shift f(x) = 6* five units to the left and seven units up.
O Shift f(x) = 6' five units to the right and seven units down.
Shift f(x) = 6X seven units to the right and five units up.
Shift f(x) = 6X seven units to the left and five units down.
Answer:
5 left 7 down
Step-by-step explanation:
The correct set of steps to translate f(x) = 6ˣ to g(x) = 6ˣ⁻⁵ – 7 is to shift f(x) = 6ˣ five units to the right and seven units down.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The functions are given in the question, as follows:
f(x) = 6ˣ and g(x) = 6ˣ⁻⁵ – 7
Consider the graph of f(x) = 6ˣ.
Shifting the graph seven units to the right means that each x-coordinate of a point on the graph will be decreased by five. This will result in a horizontal shift to the right of the graph.
Shifting the graph seven units down means that each y-coordinate of a point on the graph will be decreased by seven. This will result in a vertical shift downward of the graph.
Therefore, the new equation of the translated graph will be g(x) = 6ˣ⁻⁵ - 7.
To learn more about the transformations click here :
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*Max is writing a novel. He has written 240 pages and
would like to have a complete story that is 360 pages long.
How many pages will he have to write per day in
order to have a finished rough draft in...
One week?
Round to the
nearest hundredth.
Show work here or insert a picture of your work
Two weeks?
Round to the
nearest hundredth.
Show work here or insert a picture of your work
One month
(30 days)?
Answer:
Step-by-step explanation:
360-240=120
120/7=17.14
120/14=8.57
120/30=4
Mr. Moorehead has less than $25 to spend on books
and music CDs. Books are on sale for $5 each, and
music CDs are on sale for $10 each. Mr. Moorehead
will purchase exactly 1 music CD. The inequality
below can be used to find b, the greatest number of
books that Mr. Moorehead can purchase.
10 + 5b < 25
What is the GREATEST number of books that Mr.
Moorehead can purchase?
Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63
A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp
Answer:
Step-by-step explanation:
12,345/60=205.75 hours
l
safe to say 205 hours and 45 minutes
12 AM January 2nd 24 hours
12 AM Jan 3rd 48 hours
......
12 Am Jan 9th 192 h
it is Jan 9th, 1:45 PM
The date and time 12,345 minutes after the start of the new year will be 9 January.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A new year begins at 12:00 AM on January 1.
The number of days in time 12,345 minutes will be
⇒ 12345 / (60 x 24)
⇒ 8.5729 days
Then the date and time 12,345 minutes after the start of the new year will be 9 January.
More about the Algebra link is given below.
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Simply: -51/4 - (-71/2)
Answer:
Exact form:
193/4
Decimal form:
48.25
Mixed number form:
48 1/4
Step-by-step explanation:
Answer:
48 1/4
Step-by-step explanation:
i hope this is correct
jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the width of the piece of paper in square inches
Answer: the paper is 8 inches
Step-by-step explanation: I'm sure the answer is 8.
Hw help please ASAP
+10PTS
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Remember that:
[tex]Slope \: = \frac{rise}{run} [/tex]
Answer:
½x+3
Step-by-step explanation:
slope = rise/run plus y-intercept
5 Gross Pay is $432. Finat a the social security tax, b the medicare tax and c the
total deductions
Answer:
Hope this helps!
Step-by-step explanation:
3 Prove that
cos130°+cos 110+ cos10=0
We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
Find the value of X
Answer:
x + 80 =180 (Being sum of 180 degree)
or,x=180 -80
= 100
The ratio of boys to girls in the 9th grade is 5 to 6. There are 312 girls. How many boys are there?
HELPPPPPPP please
Answer:
260 Boys
Step-by-step explanation:
312/6=52
52*5=260
I hope this is correct and it helps :) have a great day
Answer:
260 boys
Step-by-step explanation:
5:6
312 divided by 6=52
5x52=260
260 boys to 312 girls
Gabe deposits $2,500 into each of two savings accounts.
Account ONE earns 4% annual simple interest.
Account TWO earns 4.5% interest compounded annually.
What is the sum of the balances of Accounts ONE and TWO at the end of 3 years?
Answer:
637.5 I think it's right
Step-by-step explanation:
2,500x.04=100x3=300
2,500x.045=112.5x3=337.5
300+337.5=637.5 interest
2,500x2+637.5=5,637.5
Answer:
$5,612.16
Step-by-step explanation:
Part 1) Account I earns 4% annual simple interest.
we know that
The simple interest formula is equal to A = P (1+rt)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have:
t = 3 years
P = $2,500
r = 4% = 4/100 = 0.04
substitute in the formula above
A = 2,500 (1 + 0.04 * 3)
A = 2,500 (1.12)
A = $2,800
Part 2) Account II earns 4% interest compounded annually.
we know that
The compound interest formula is equal to: A = P (1 + r/n)nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
t = 3 years
P = $2,500
r = 4% = 4/100 = 0.04
n = 1
substitute in the formula above
A = 2,500 * (1 + 0.04/1)3
A = 2,500 * (1.04)3
A = $2,812.16
Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?
Sum the two final investment:
$2,800 + $2,812.16 = $5,612.16
if there where 10 apples and my frend took 6 how many do i have
Answer:
10-6=4
if your friend took 6 apples out of the 10 you have you would have 4 left.
Step-by-step explanation:
Please help....... its easy
Answer:
It would start 2 squares across the line.
Step-by-step explanation:
hope this helps
have a great day!
please mark brainliest.
while I cannot flip it for you, you basically just have to see how many spaces each point is from the line, and then put the same letter on the other side and connect the shapes. Hope this helped!
The Bailey's spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought with $45.00?
Answer:
7
Step-by-step explanation:
12 divided by the sum of h x and 3
Answer:
12
------
hx+3
Step-by-step explanation:
I know math
Please help with this as well
Answer:
Option D is the correct answer
Step-by-step explanation:
w = 35°based on the definition of vertical angles.
i gicveeeeee brainlilstttt
Answer: (-2,6)
Step-by-step explanation:
Hope this helps ;)
Lamar rented a truck for one day there was a base fee of 18.95 and there was an additional charge of 93 cents for each Miles driven. Lamar had to pay 154.73 when he returned the truck . For how many miles did he drive the truck
Answer:
146 miles
Step-by-step explanation:
Hope this helps!
Answer:
146 miles
Step-by-step explanation:
He payed 135.78 total for gas. Take that number, and divide it by .93 to find out how many miles he drove.
One gram of fat has 9 calories. A one-ounce slice of
American cheese has 9 grams of fat. The slice has a total
of 110 calories. What percent of the calories in the cheese
is from fat? Round to the nearest whole percent.
3u - 10 =23
Simplify your answer as much as possible.
Ü
Х
Answer:
u=11
Step-by-step explanation:
3u - 10 = 20
3u-10+10=20+10 |+10
3u=33 |÷3
3/3*u=33/3
1*u=11
u=11
what is 3 times 3???
Answer:
9
Step-by-step explanation:
3×3=9
3+3+3=9
Yeeeeejsndnnsjx
s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8
Work out
s
when
t
=
0.4
Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
Please help!!!!!!!!!!!!!!!!!!!!!
Answer:
its 7
Step-by-step explanation:
Help me i really need help