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]
HELPPP PLSSS THIS IS MY THIRD TIME POSTING THIS PLS HELP ME I WOULD MARK YOU BRAINIEST What is the slope of the line below?
(3,5)
(3, 2)
A. positive
B. undefined
C. negative
D. Zero
Answer:
B
Step-by-step explanation:
its undefined because 3/0.
Rewrite 2.7 ÷ 0.3 as a fraction.
Answer:
the answer is 9
check the picture for workings
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
When heat energy is increased for a substance the ______?
HELP!!
Answer:
molecules speed up
Step-by-step explanation:
temperature has a strong affect of the movement of molecules
How can you evaluate 2 to the power of 0
Answer:
How about this: There's always an implicit 1 in the expansion:
23=2⋅2⋅2⋅1=8
22=2⋅2⋅1=4
21=2⋅1=2
20=1=1
Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
Help me out here plz
Answer:
I think that it would be [tex]28^{2}[/tex] cm
Step-by-step explanation:
8 x 7 = 56
56/2 = 28
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
1. Find the probability that you will roll a six and then a five when you roll a die twice
2. A bag contains 3 red, 4 blue, and 6 yellow marbles. One Marble is selected at a time, and once a marble is selected, it is replaced, find each probability.
X = y - 3
2x + y = 12
pls hurry i need badly
[tex] \huge \colorbox{yellow}{Question}[/tex]
[tex]x = y - 3[/tex][tex]2x + y = 12[/tex]
[tex] \huge \colorbox{yellow}{Answer}[/tex]
[tex]x = y - 3 \: (equation \: 1)[/tex]
[tex]2x + y = 12 \: (equation \: 2)[/tex]
Substituting the value of x in
( equation 2)
[tex]2x + y = 12[/tex]
[tex]2(y - 3) + y = 12[/tex]
[tex]2y - 6 + y = 12[/tex]
[tex]2y + y = 12 + 6[/tex]
[tex]3y = 18[/tex]
[tex]y = 18 \div 3[/tex]
[tex]y = 6[/tex]
Now we get y = 6
Substituting the value of y in
( equation 1 )
[tex]x = y - 3[/tex]
[tex]x = 6 - 3[/tex]
[tex]x = 3[/tex]
Now we get x = 3
[tex] \huge \mathsf\red{Final \: Answer}[/tex]
y = 6 x = 3What is the equation of this
Answer:
it's correct
Step-by-step explanation:
let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16
Answer:
13
Step-by-step explanation:
Number of students that attended more than play = percentage of students that attended more than play x total number of students
5.5% x 232
0.055 x 232 = 12.76 students
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Since the first term is 7 which is greater than 5, 1 would be added to it.
This gives 13
Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen
Answer: 30 meters.
Step-by-step explanation:
Since the scale used by Bruce in the drawing that she made is:
1 milimeter = 10 meters
If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:
1/3 = 10/x
Cross multiply
1 × x = 3 × 10
x = 30
Therefore, the actual length is 30 meters.
Hello :”) how to do 5(a)?
Answer:
[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
• Differentiate cosine
• Then multiply it with the derivative of the term inside the bracket
Solve for x and show work.
Answer:
44
Step-by-step explanation:
since 88 is the whole angle and your trying to find 1 side you would divide 88 by 2 which gives u 44
Which of the following numbers are less than -0.60? Select all that apply.
- 4/5
-0.65
- 1/6
-0.99
Answer:
0..99
Step-by-step explanation:
7n-4=31
what does n stand for?
Answer:
it is the number you are trying to solve for which would be 5
Step-by-step explanation:
Given f(x) = x^4 -3x^3 +10x^2 -9x +1. Is (x-2) a factor? Is x=-3 a zero? Find f(-1) show all work.
Step-by-step explanation:
(x-2) is not a factor
x = -3 is not a zero
Please mark my answer as the brainliest for further answers :)
Find the measure of CGD.
Answer:
23°
Step-by-step explanation:
For this scenario say point G is the center point,
If we look to the left, we see angle FGE has a value of 23
and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same
so therefore angle CGD should be 23 degrees
Write the expression representing the total number of miles run: Jazmin ran 3 miles on Monday. For the next 4 days, she ran x miles each day.
Answer:
4 + x
Step-by-step explanation:
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it
What fraction does point S represent?
Answer:
C
Step-by-step explanation:
So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.
up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49
Answer: (x+3)^2+(y-4)^2=49
The answer is b :)
Step-by-step explanation:
ANSWER CORRECTLY AND ILL MARK YOU AS BRAINIEST
Six containers have the following ounces in them: 6.2, 8.07, 9.4. 2.11, 5, 6.173 (Do not round your answer
Answer:
what is the question tho?
Answer:
Hi! The answer to your question is 36.953
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Find the slope of the line that contains (−3,5) and (3,−9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
answer answer answer answer
Answer:
[tex]12 \leqslant x < 26[/tex]
Use the net to find the surface area of the rectangular prism
Answer:
52
Step-by-step explanation: