i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
find the value for x
Answer:
X=22
Step-by-step explanation:
measurement of angle a is right angle
mA=4x+2
90=4x+2
4x=90-2
4x=88
4x/4=88/4
X=22
Suppose the total area is represented by the equation x^2+14x+24. If the area 1 is x^2 square units and area IV is 24 units, what must be true about area II and area III.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Total = x^2 + 14x + 24[/tex]
[tex]Area\ I = x^2[/tex]
[tex]Area\ IV = 24[/tex]
Required
True about area II and III
The question is incomplete; so, I will answer using general knowledge.
If the total area is:
[tex]Total = x^2 + 14x + 24[/tex]
And there are 4 areas, then;
[tex]Total = Area\ I + Area\ II + Area\ III + Area\ IV[/tex]
Rewrite as:
[tex]Total = Area\ I + Area\ IV+ Area\ II + Area\ III[/tex]
This gives:
[tex]x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III[/tex]
Collect like terms
[tex]x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III[/tex]
[tex]14x = Area\ II + Area\ III[/tex]
Rewrite as:
[tex]Area\ II + Area\ III = 14x[/tex]
So, the sum of areas III and IV must be 14x
Школьник поднял гирю весом 16 кг на высоту 2,1 м за 2 с. Определите:
а) Механическую работу, выполненную школьником;
б) Механическую мощность, развитую им;
в) На сколько увеличилась при этом потенциальная энергия си-
стемы „гиря-земля". Считать g = 10 Н/кг.
ОЧЕНБ ОЧЕНЬ СРОЧЬНО НАДО. ПОМОГИТЕ ПОЖАЛУЙСТА ЩЯС.
Answer:
what type of language is this isn't this India?
simplify the expressing by combining like terms
1 + 3x - 8x + 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{1 + 3x - 8x + 7}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS }[/tex]
[tex]\large\textsf{ (3x - 8x) + (1 + 7)}[/tex]
[tex]\large\textsf{3x - 8x = \bf -5x}[/tex]
[tex]\large\textsf{1 + 7 = \bf 8}[/tex]
[tex]\large\textsf{= -5x + 8}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -5x + 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Are there any supplementary angles ? If so name two pairs if not explain why not
Which equation can be used to solve for xxx in the following diagram?
Answer:
A
Step-by-step explanation:
math
We can solve for x in the diagram based on the vertical angles theorem using the equation: A. 60 = (4x - 20)
What is Vertical Angles Theorem?Angles that lie vertically opposite each other when two straight lines intersect are congruent too each other, based on the vertical angle theorem.
Applying the vertical angles theorem, we can solve for x in the given diagram using the equation below:
60 = (4x - 20)
Learn more about the vertical angles theorem on:
https://brainly.com/question/24839702
#SPJ2
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
3 pages, with work pleasee
Step-by-step explanation:
isosceles trapezoidtrapezoidrhombussquarerectangleparallelogramquadrilateral10x+18+62=180 co interior angle10x=180-80
x=100/10=10
:.x=10
9.
8x+2=7x+14 corresponding angle of parallelogram are equal
8x-7x=14-2
x=12
10.
4x+4=5x+1 corresponding sides of parallelogram are equal
4-1=5x-4x
x=3
11.
4+3x=19corresponding sides of parallelogram are equal
3x=19-4
x=15/3
x=5
Aiden got a loan for $600 that has a 5% simple interest for
2 years.
Answer:
The simple interest is $60 for 2 years
Step-by-step explanation:
1. 600*0.05=30
2. 30*2=60
If out of a sample of 180 drivers prefer a standard transmission over automatic , about a standard transmission in a population of 900
A:700
B:22
C:360
D:200
Answer:
This is a matter of ratio and proportion, let us represent the unknown value as x. Since the two ratios are related,
40 : 180 :::: x : 900
40 / 180 = x / 900
x = (40/180)(900)
x = 200q
Find the value of ‘N’ in each of the following:
a. 2n = ¼
b. 10⁶÷10n = 10²
[tex] \purple{ \huge{ \tt{ \: ✨ Answer ✨ \: }}}[/tex]
[tex]a. \: \: n \: = \: \red{ \boxed{ \tt{{ \: \frac{1}{8} \: }}}} \\ \\ \: \: \: \: \: \: b. \: \: n \: = \: \red{ \boxed{ \tt{ \: 10 {}^{ - 3} \: }}}[/tex]Answer:
a. n=1/8
b. n=10^-3
please mark as brainliest
Which set of data has the highest interquartile range? Group of answer choices 8,12,14,14,20 8,12,14,14,22 9,13,14,15,19 all of the above
Given:
The given data set are:
8,12,14,14,20
8,12,14,14,22
9,13,14,15,19
All of the above
To find:
The set of data that has the highest interquartile range(IQR).
Solution:
We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.
[tex]IQR=Q_3-Q_1[/tex]
All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.
For 8,12,14,14,20,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 8,12,14,14,22,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 9,13,14,15,19,
[tex]IQR=15-13[/tex]
[tex]IQR=2[/tex]
All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.
Therefore, the correct option is D.
Please help me out there is no tutorssssss
Answer:
its 12
heart if it helped!
Solve for x. Show all your steps/work.
216x = 6x + 1
8 + 7 + (-4) on a number line
Answer:
11 is the answer
Step-by-step explanation:
8+7-4
15-4
11
on number positive 11 is the answer
its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point
How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1
5/7 x 9/10
please show your work and the answer has to be a simplified fraction . thanks :)
Answer:
Step-by-step explanation:
5/7 x 9/10
=5/7 9/5 X 2
=1/7 X 9/2
=1 X 9/ 7 X 2
=9/ 7 X 2
=9/14
The expression 5/7 x 9/10, is equivalent to 9/14.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
5/7 x 9/10
Given is -
5/7 x 9/10
1/7 x 9/2
9/14
Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
What is this math problem?
3x = 6y - 21
6x - 9y = -30
Answer 1: x=2y−7
Answer 2: x= 3/2y -5
Heart if this helped
Answer:
x=1 and y=4
Step-by-step explanation:
Let's solve your system by substitution.
3x−6y=−21;6x−9y=−30
Step: Solve3x−6y=−21for x:
3x−6y=−21
3x−6y+6y=−21+6y(Add 6y to both sides)
3x=6y−21
x=2y−7
Substitute2y−7for x in6x−9y=−30:
6x−9y=−30
6(2y−7)−9y=−30
3y−42=−30(Simplify both sides of the equation)
3y−42+42=−30+42(Add 42 to both sides)
3y=12
y= 4
Substitute4foryinx=2y−7:
x=2y−7
x=(2)(4)−7
x=1(Simplify both sides of the equation)
Please help!!! I’ll mark you as brainliest!!!!!
Step-by-step explanation:
PLZS help need by today!
Answer:
15
Step-by-step explanation:
We know that the expression is equal to 110° since it is a vertical angle. So what we do is we ad 10 to both sides of the equation. We are left with 8x=120 so if we divide 120/8 we get 15 which would leave it as x=15. Now plug it in and check it.
An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice
Answer:
3.7
Step-by-step explanation:
Answer:
The Unit Rate would be 0.27:1
Step-by-step explanation:
Divide 4.86 by 18 to get 0.27
Hope this helps! Pls make brainliest
Find what x =
4
9
16
If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function
Answer:
Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.
Step-by-step explanation:
Plz help ASAP I will add branliest to the first answer, I need to solve for the letter
Answer:
6. r=2
8.x=3
Step-by-step explanation:
6. 4r-3=5
4r-3=5 add 3 to both sides
4r=8 divide 4 by both sides
r=2
8. 5x-6=9
5x-6=9 add 6 to both sides
5x=15 divide 5 by both sides
x=3
Much of the declaration of independence consist of a list what does it list?
Answer: complaints of the wrongs done to the colonists.
ILL GIVE BRAINLY IF YOU CAN HELP ASAP
Answer:
D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
If you simply add a negative sign to the x coordinate, you get the reflected point.
In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes. The rest cast their votes to Ahmed, Babu and Chambuko in the ratio 3:2:1.If 30 votes were spoilt,how many votes did Ahmed get?
Answer:
Ahmed got 390 votes
Step-by-step explanation:
Here, we want to know the number of votes obtained by Ahmed
from the question, there were 900 registered voters
10% did not cast their votes
The number that didn’t cast their votes will be;
10% of 900
= 10/100 * 900 = 90
So the rest 90% casted and this value will be 900-90 = 810
810 people casted their votes
30 votes were spoilt;
The number of valid votes is thus;
810 - 30 = 780
Ahmed got a ratio of 3 in 3:2:1
The total value here is 3 + 2 + 1 = 6
So what Ahmed got will be;
3/6 * 780
= 780/2 = 390
whats the difference between coterminal, reference, and rotational angles?
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
If two angles in standard position have the same terminal side, they are called coterminal angles.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.
Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.
To learn more about an angle visit:
https://brainly.com/question/28451077.
#SPJ2
What is the following product ?
Answer:
6 (square root) 200
Step-by-step explanation:
Answer:
the second choice 6/200
Step-by-step explanation:
Solve for x in the picture below
Answer:
x=19
Step-by-step explanation:
90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)
x=19