Answer:
-The middle terms do not take into account the coefficients from Pascal’s triangle.
-The exponents on each term follow the pattern for a binomial expansion.
-The expression cannot be factored using the binomial theorem.
The statements that apply for the expression are A , D and E
What is Binomial Theorem ?Binomial theorem explains how to expand the algebraic statement (x + y)ⁿ to a sum of terms using individual exponents of variables x and y.
The expression given is
x³ – 24x² + 192x – 512
as the first and the last term is a perfect cube
In general (a-b)³ = a³ - 3a²b +3ab²-b³
here a = x and b = 8
(x-8)³ = x³ +3 *x*8² -3 *8*x² -8³
(x-8)³ = x³ – 24x² + 192x – 512
Therefore it can be factorized using Binomial Theorem , n = 3 and the factors follow the rule for binomial expansion so the statements that are correct are A , C and E
To know more about Binomial Theorem
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if it takes 50 cubes to fill up a rectangular prism, what would be the volume of the rectangular prism?
PLEASE HELP !
Answer:
50 unit^3
Step-by-step explanation:
you didnt give a unit, and i assumed the cubes are equal to one cubic of that unit, so cant really help
Answer:
volume of 50 cube= volume of rectangular prism
Step-by-step explanation:
i need to get this done
Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
Mia uses of a bag of soil in the morning and of a bag in the afternoon
About how much soll does she use in one day?
Answer: 2 bags of soil
Step-by-step explanation:
CAN ANYONE DO IT. PLZ
Answer:
70°Step-by-step explanation:
see image below
Answer:
10 is your answer.
Step-by-step explanation:
pls give me brainlest
Amir needs to use how many ?
tablespoons of olive oil.
Answer:
Step-by-step explanation:
^^lol can u post the question wait a min i took this it’s 32 tablespoons
UAGH I AM SICK OF BEING PUSHED AROUND....ITS TIME THAT RATS STICK UP FOR THEMSELVES!!! ARE YOU WITH ME?!
Answer:
yaaaa
Step-by-step explanation:
The graph below represents the price of sending picture messages using the services of a phone company. What is the constant of proportionality?
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The values on the y axis are 0, 22, 44, 66, 88, 110, 132, 154, 176, 198, 220. Points are shown on ordered pairs 0, 0 and 2, 44 and 4, 88 and 6, 132 and 8, 176. These points are connected by a line. The label on the x axis is Picture Messages Sent. The label on the y axis is Price in cents.
10
11
21
22
Answer:
the answer is 22
Step-by-step explanation:
i took the test
Answer:
22
Step-by-step explanation:
Please help it’s due tmr!!!
Answer:
7
Step-by-step explanation:
we need to first find the area
4.5 x 4 = 18
1.5 x 2 = 3
18 - 3 = 15
15/2.25 = 20/3
20/3 is 6.666666666666666666666666666666.....
6+1 = 7
Answer:
7
Step-by-step explanation:
we need to first find the area
4.5 x 4 = 18
1.5 x 2 = 3
18 - 3 = 15
15/2.25 = 20/3
20/3 is 6.666666666666666666666666666666.....
6+1 = 7
1 If x = 6, which inequality is true? A 5 - 3x > 10 B 3 - 5x 13 D 5 - x < -3
Answer:
sorry what do you write for B???
3-5x?? 13
Solve for the missing angles and side lengths A= 20 degrees, b=4 a = 4.5 Find the measure of C
a )18 degrees
b)142 degrees
c)160 degrees с
Answer:
Its 142
Step-by-step explanation:
Theres a website called triangle calculator and you put in three things wether its SSA or ASA or whatever and it gives you all the measurements. Good luck on your quizzes and tests :)
BRAILIEST IF RIGHT Which other expression has the same value as (-14) - 8 ?
Group of answer choices
(-14) + 8
14 - (-8)
14 + (-8)
(-14) + (-8)
Answer:
It's the last one (-14) +(-8)
Step-by-step explanation:
since (-14)-8 is -22 and the last one is also -22
A convenience store sells 1/3 pound of one brand of trail mix for $1.50 and 1/2 $2.15. Witch brand has lower price per pound?
Answer:
1/2 pound brand has a lower price
Step-by-step explanation:
convert both to having 6 for denominator
2/6 and 3/6 if you buy a whole pound the 1/3 is going to cost $4.50 and the 1/2 is going to cost $4.30
Can someone please help me with this question?
Answer:
PQ = 9.4
Step-by-step explanation:
to solve for PQ, use the distance formula
d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
use two points
(x1,y1) = (4,3)
(x2,y2) = (-4,-2); and substitute into distance formula
d = PQ = [tex]\sqrt{(4+4)^{2} + (3+2)^{2} }[/tex] = [tex]\sqrt{8^{2} +5^{2} }[/tex] = [tex]\sqrt{64+25}[/tex] = [tex]\sqrt{89}[/tex] = 9.4
Solve for X please help
Answer:
71 degrees
Step-by-step explanation:
Sum of three angles of triangle=180
Let's find the third angle
73+36=109
180-109=71
Vertical angles are congruent so x= angle 3
So x is 71 degrees
Answer:
79 degrees
Step-by-step explanation:
Remember: Triangles always add up to 180 degrees.
x is vertical to the missing angle in the triangle, which means x and the missing angle are equal.
to find the missing angle in the triangle, you add up the other angle measurements and subtract from 180.
36+73=109
180-109=71
The third mising angle is 71 degrees.
this means x is also 71.
Hope this helps!
PLEASE HELP ME FOR BRAINLY IF ANSWER IS RIGHT look at he pic
Answer:
0.62, 0.60, Store B
Step-by-step explanation:
Store A is 0.62 per can
Store B is 0.60 per can.
The better deal is B
find the ragio p:r if p:a=1:2, a:b=2:3, b:c=5:1, c:r=3:2
Answer:
p : r = 5 : 2
Step-by-step explanation:
Expressing the ratios in fractional form, then
[tex]\frac{p}{r}[/tex] = [tex]\frac{p}{a}[/tex] × [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] × [tex]\frac{c}{r}[/tex]
= [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{1}[/tex] × [tex]\frac{3}{2}[/tex]
= [tex]\frac{30}{12}[/tex]
= [tex]\frac{5}{2}[/tex]
Thus ratio p : r = 5 : 2
A rotating sprinkler that sprays water at a radius of 7 feet is used to water a lawn. Determine the area of the lawn that is being watered. Use 3.14 for pi. Round to the nearest tenth.
Answer:
49Pi
Step-by-step explanation:
Area of a circle is = to pi(r)^2
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29
Answer:
Step-by-step explanation:
From the conditions given, the total number of the problems should be 29. This means that the sum of x and y should be 29. With this and the point-system, the best system of equation that is useful for this problem is,
x + y = 29
5x + 2y = 100
The answer is the second choice.
Answer:
The correct answer is A
A. x + y = 29, 5x + 2y = 100
.A teacher has 70 markers inter drawer. She
has 14 red markers. What percent of dry erase
markers are red?
Answer:
20%
Step-by-step explanation:
p = 240 – 172
g=
9 x 8/-24
Work out the value of p×q
Step-by-step explanation:
I hope I got it right and I hope this helps
82+9/3? find the answe using pemdas
Answer:
82+(9/3)
Division comes first.
9/3=3
82+3=85
85
Step-by-step explanation:
Answer:
85
Step-by-step explanation:
PEMDAS
P - Parenthases
E - Exponents
M - Multiply
D - Divide
A - Add
S - Subtract
Using the order of opperations above, division comes before addition, so:
9 / 3 = 3.
Then you move on to the left:
3 + 82 = 85.
Write an equation in slope-intercept form (y = mx + b) for the line that has a y-intercept of (0, -5) and a slope of 2/3
Which of the following expressions is equivalent to –6?
A.
3-(-2)-(-1)
B.
9-(-17)
C.
4-16 divided by -2
D.
-2(4-1)
Answer:
the correct answer po is letter A
Step-by-step explanation:
Tinatamad akong mag explain pero tama po 'yan
763 thousandths as a scientific notation
Answer:
7.63 * 10^-1
Step-by-step explanation:
Answer:
7.63 x 10^-1
Hope this helped
Round 824.0472 to the nearest hundredth.
Answer:
824.05
Step-by-step explanation:
the hundreths place is two spots behind the decimal, there is a four. Look at the number next to it is a 7 so you round up
A cyclist starts a journey from town A. He rides 10km north then 5km east and finally 10 km on a bearing of M45°E
Answer:
75 km
Step-by-step explanation:
-2/3(3 2/3) I'm not sureeeee
Solve the following please
Answer:
a=25 , b=14
Step-by-step explanation:
The price of pears at a farm is $1.41 per pound. Which equation can be used to determine c, the total price of n pounds of pears? (1 point)
a
c equals 1.41 over n
b
c = 1.41 + n
c
c = 1.41 − n
d
c = 1.41n
Answer:
d
c=1.41n
Step-by-step explanation:
to find your answer you will have to multiply 1.41 by n cause it says 1.41 per pound so you multiply to get your answer
ill mark brainliest if you are correct
Answer:
$24/3shirts = c/7 shirts c=56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
