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:
https://brainly.com/question/4344214
There are 3 red, 2 blue, and 1 yellow marbles in a bag. Once a marble is selected, it is not replaced. Determine the probability. P(red and then yellow)
Answer:
The probability of drawing a red is 50% blue is 1/3 or 33.33% yellow is 1/6 or 16.66
Step-by-step explanation:
4. Solve -5x2 + 3x = 11
Quadratic
Answer:
X=7
Step-by-step explanation:
-5×2+3x=11
(-5×2)+3x=11
-10+3x=11
3x=11+10
3x=21
x=21÷3
x=7
what is the answer to 2(1-x)=11
Answer:
-9/2 in exact form but -4.5 in decimal form
Answer:
x=-4.5
Step-by-step explanation:
distribute
2(1-x) = 11
2-2x=11
combine like-terms
-2x = 9
isolate x and divide out the negative
-2x/-2 = 9/-2
x = -4.5
Pls answer ASAP I will give brainliest answer
Answer:
34.328125
Step-by-step explanation:
Pete is Designing a company logo by dividing a circle into five equal pie shaped sections as shown in the diagram above . how many degrees are in angle a
What is 1/4 times 24.80
Answer:
6.2 is the answer you are looking for
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
Can someone please help!!!!
Answer:
2/5
Step-by-step explanation:
since the denominators are the same, the question is basically -4+6, which is 2. But remember to include the denominator
Someone please help ASAP
Multiply The polynomials. (3x^2+4x+4)(2x-4)
Answer:
6x^3 - 4x^2 - 8x - 16
Step-by-step explanation:
6x^3 + 8x^2 + 8x - 12x^2 - 16x - 16
combine
6x^3 - 4x^2 - 8x - 16
f(x) = x + 8; translation 5 units down
Answer:
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
Step-by-step explanation:
The rule to determine the translating down 'b' units:
f(x) – b
It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.
Given the function
f(x) = x + 8
In order to translate 5 units down, all we need is to subtract 5 units from the function.
i.e.
f(x) = x + 8 - 5
f(x) = x+3
Thus, we conclude that f(x) = x+3 is the translated function.
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
Write an algebraic expression for the phrase 6 times Z
Answer:
6z
Step-by-step explanation:
Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?
Answer:
12
Step-by-step explanation:
let's say number of patches is x, and amount of time is y. the time per patch is k.
k * x = y
2 * k = 4
k = 2
2 * x = y
2 * 6 = 12
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
W + 7 < 4 you don’t have to show work
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
Need help ASAP... 10 points!!
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
What is the Factor: 24x - 60
how do you solve 9 tenths minus 13 fiftenths
Answer:
0.04
Step-by-step explanation:
1. 9/10 = 0.9 and 13/15 = 0.86
2. Subtract 0.9 and 0.86
3. You should end up with 0.04
Remember when a number goes like 0.86666666666 to use 0.86 or if it has 0.86666666667 to use 0.87 because you would be simplifying it.
Melanie earns $7 per hour when she
baby-sits. An equation for this relation
is w = 7h, where h represents the
number of hours and w represents
Melanie's wage in dollars.
a) Use the equation to create a table
of values.
b) In one week, Melanie earned $105.
How many hours did she baby-sit?
c) In one month, Melanie baby-sat for
24 h. How much did she earn
from baby-sitting in that month
Answer:
A) We know that she make $7 per hour, with this we can make a table:
1hr | $7
2hr | $14
3hr | $21
etc...
B) If in one week she earns $105 and 1w = 7h (1hr = $7) holds true, that means that we have to divide 105 by 7 which gives us 15hrs
C) If she baby-sat for 24hrs, we just have to multiply that by 7 and we get $168
Hope that helped!
A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume
that the masses of the liquid and the cup are independent.
Here are summary statistics for the masses of the liquid and the cups:
Mean
Standard deviation
Liquid
HL
250 g
D = 20 g
Cup
HC = 150g
a = 10g
Let T = the total mass of a randomly selected cup filled with liquid from this machine.
Find the mean of T.
HT =
grams
Stuck? Watch a video or use a hint.
Report a problem
Answer:400
Step-by-step explanation:
The mean of T is the expected weight of a selected cup filled with liquid
The mean of T is 400
The data on the table is given as:
Mean Standard Deviation
Liquid 250g 20g
Cup 150g 10g
Represent Liquid with L, and cup with C
To calculate the mean of T, we make use of the following formula for expected value
E(L + C)
Since L and C are independent random variables, then
[tex]E(L + C) = E(L) + E(C)[/tex]
Where E(L) and E(C) are the mean values of liquids and cups.
The equation becomes
[tex]E(L + C) = 250g + 150g[/tex]
[tex]E(L + C) = 400g[/tex]
Hence, the mean of T is 400
Read more about mean at:
https://brainly.com/question/13005177
Help ASAP please. I’ll give you brainliest
Answer:
x= -83.4
830÷50= 16.6
17 coaches would be needed
£5,850
Answer:
x=1660
the value of 830÷50 is 16.6
it will take 5850 to hire 13 coaches
Find the slope of the line.
3,2 6,3
Solve for the roots in simplest form using the quadratic formula:
4x^2 -28x= -53
Answer:
x = (28 +- root -64) / (8)
Step-by-step explanation:
4x^2 -28x= -53 = 0
x = [-(-28)+- root (-28)^2 - 4 * 4 * 53] / 2 *4
x = (28 +- root 784 - 848) / (8)
x = (28 +- root -64) / (8)
Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38
The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative winter snowfall (inches) by 12. Determine the amount of winter snow that accumulates 6 inches of water in the soil.
a.
6 inches of snow
b.
84 inches of snow
c.
72 inches of snow
d.
12 inches of snow
Answer:
C
Step-by-step explanation:
its just 12 times 6
Answer:
c
Step-by-step explanation:
I took the test and got it right
1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.
Answer:
the answer is 2
Step-by-step explanation:
Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2
Please answer question on picture above.
Answer:
d the last one i think.
Step-by-step explanation:
Hope this helps have a good day!
