how to factorise 8a3-b3
Answers
Answer:
Step-by-step explanation:
Answer:
(2a - b)(4a² + 2ab + b²)
Step-by-step explanation:
8a³ - b³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , thus
8a³ - b³
= (2a)³ - b³
= (2a - b)((2a)² + 2ab + b² ), that is
(2a - b)(4a² + 2ab + b²)
Related Questions
Find BD.
plz help me
Answers
Answer:
BD = 28
Step-by-step explanation:
BC and CD are within line BD, so add those to make up for the length of BD
21 + 7 = 28
The front profile of a shed is depicted in the drawing, with the given dimensions. Find the area of this profile of the shed in square feet.
Answers
Answer:
135 ft²
Step-by-step explanation:
The profile is composed of a triangle and a rectangle.
Area of profile = (area of triangle) + (area of rectangle)
= (½×base×height) + (length × width)
Where,
base of triangle = 15 ft
height of triangle = 11 - 7 = 4 ft
length of rectangle = 15 ft
width of rectangle = 7 ft
Plug in the values
Area of profile = = (½×15×4) + (15×7)
= 30 + 105
Area of profile = 135 ft²
A cargo plane can hold at most 38,000 lb. There are 35 boxes on the plane. Each box weighs 625 lb. How many additional boxes of the same weight can the cargo plane hold?
Answers
(35 x 625 = 21875)
38,000 - 21875 = 16125
16125/625 = 25.8
Technically 25.8, but it rounds to 25 boxes
Answer:
25 boxes
Step-by-step explanation:
a shopkeepee bought 7 books for rs.525 and sold 4 books for rs 360 .if he/she sold the remaining books at the same rate of cost price find his/her profit or losspercent
Answers
Answer:
His profit is 105 rs
Step-by-step explanation:
if he bought 7 books for 525 RS,that means 1 book costs 75 rs
if he sold 4 books for 360 RS,that means 1 boo costs 90 RS
90×7=630.
630-525=105
A sales agent makes 40 calls a day. About 15% of the call result in a sale. How many days will it take for the sales agent to meet a quota of 120 sales.
A. 6days
B.18 days
C.3 days
D. 20 days
Answers
Answer: 18
Step-by-step explanation:
I just did an old fashioned percentage table :) 15(%) divided by 100(%) times 120(whole) is 18, so it will take 18 days to meet a quota of 120 sales :)
A bug was sitting on the tip of the propeller blade 4 ft. Long when the propeller started to rotate. The bug held on for 3 rotations before flying away. How far did the bug travel before it flew away?
Answers
Answer:
75.39 ft
Step-by-step explanation:
r = Radius of the circle drawn by the propeller = 4 ft
Circumference of the circle is
[tex]C=2\pi r\\\Rightarrow C=2\pi 4\\\Rightarrow C=25.13\ \text{ft}[/tex]
So in one rotation the distance traveled by an ant sitting on the blade tip is 25.13 ft.
Now the ant held on for 3 rotations so distance traveled is
[tex]3\times 25.13=75.39\ \text{ft}[/tex]
The bug traveled 75.39 ft.
Write an equation like y=mx+b to describe the graph
Answers
hope this helped !:)
one-step-solving-equation
9. Ella purchased 8 passes to the skating rink for $58.00. Each pass cost the same amount. What was the cost of each pass in dollars and cents?
Answers
Answer:
7.25
Step-by-step explanation:
58 dollar divided by 8 passes. Each is the same amount, therefore each is 7.25
Circumference=( ) ft
Answers
Answer:
785.398 ft
Step-by-step explanation:
Circumfrence = pi * diameter
Sandals are on sale for 30% off. The original price of one pair of sandals is $15. What is the total cost, in dollars, of two pairs of sandals at the sale price and including 7% sales tax?
Answers
Answer:
$4.82
Step-by-step explanation:
30% of 15 = 4.5
7% of 4.5 = 0.315
4.5+0.315 = $4.815 approx $4.82
Please mark me brainliest
A. 22 trees
B. 35 trees
C. 40 trees
D. 55 trees
Answers
Answer:
A. 22 trees
D. 55 trees
Step-by-step explanation:
A and D are the answers because (6x2) + (5x2) = 22 and (6x5) + (5x5) = 55
Need help! Need to find both 1 and 2!
Answers
Answer:
How are you supposed to work this out? There is only 1 number then the rest you have to figure out...
Step-by-step explanation:
Im sorry i don't know how to work this :/
You can report this if you want Idc
-Cutepie465
Given that y varies directly with x and x = 15 and y = 5 , then find what x would equal if y = 20 .
Answers
Answer:
X=60
Step-by-step explanation:
y=kx
5=15k
k=1/3
y=1/3 x
20=1/3 x
x=60
Can someone please help me thank you
Answers
30.8
you take 25^2 + 18^2 and find the square root of that which is 30.8 for this problem.
please give me brainliest :)
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d=50t. What are two constants of proportionality for the relationship between distance in kilometers and number of hours? 50 1/50
Answers
Answer:
50Step-by-step explanation:
Speed is represented according to the equation;
Speed = Distance/Time
Given;
Distance d = 400km
Time t = 8 hours
From the formula
s = d/t
s = 400/8
s = 50
Substitute s = 50 back into the formula;
s = d/t
50 = d/t
d = 50t
This expression means that the speed is directly proportional to t where 50 is the constant of proportionality;
Hence the constant of proportionality for the relationship between distance in kilometers and number of hours is 50
Answer: Two constants of proportionality for this situation are 50 and 1/50. The relationship between these two values are that they are both reciprocals.
Step-by-step explanation:
how do you find whether a pair of lines are parallel, perpendicular?
Answers
Answer:
If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.
Step-by-step explanation:
Example of parallel lines: y=3x+10 & y=3x-4
Example of perpendicular lines: y=2x-9 & y=-1/2x+1
Geometry problems dealing with diagonals need help answering this smart people pls so
Answers
KN = 18
Step-by-step explanation:
I really don't know how to explain it .
Answer: since KM is the long line, and KN is half of that since the line is half the size of KM, half of KM is 18.
So KN=18
Please ASAP
The expression -254 + 24m represents a submarine that began at a depth of 254 feet below sea level and ascended at a rate of 24 feet per minute. What was the depth of the submarine after 9 minutes?
Answers
Answer:
-38
Step-by-step explanation:
( sorry if miscalculated or done wrong )
First I multiplied 24 x 9 to see how many feet it had gone up in 9 minutes, then added -254 and the answer of 24 x 9 together.
Which kingdom was divided into provinces ruled by governors who reported to the king? a Ghana b Mali c Songhai
Answers
Answer: Songhai
explanation:
Answer:
Songhai
Step-by-step explanation:
I NEED THE VALUE OF X
Answers
Answer:
x=18
Step-by-step explanation:
Since the angle is 90, noted by the right angle symbol, we can say that 5x=90
Now we simplify each side.
5x/5 = 90/5
x=18
CAN SOMEONE PLS HELP ME Again before my brain starts crYiNG
Answers
Answer:
C
Step-by-step explanation:
The function on the graph has a slope of 3 which is smaller than a change of 4 and the one on the graph starts at two while to equation starts at 4
Hope this Helps :)
Abigail's family is buying a small refrigerator for their game room in the shape of a right rectangular prism. The inside measurements are 18 in., 14 in., and 24 in.
Answers
Answer:
Volume = 6048 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume is the capacity of substance that a given measuring object can contain. It can be determined as;
Volume = length x width x height
In the given question, the refrigerator has an internal dimensions 18 inches, 14 inches and 24 inches.
The volume of the refrigerator can be determined as;
Volume = 24 x 14 x 18
= 6048
Volume = 6048 [tex]in^{3}[/tex]
Thus, the internal volume of the refrigerator is 6048 cubic inches.
HURRY PLEASE
What is the end behavior of the polynomial function?
Answers
MY BANGS ARE GETTING IN MY EYES THEY ARE SO ANNOYING OMG SEND HELP
Answers
Find the value of x.
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
The sum of exterior angles of a polygon is equal to 360 degrees[tex](12x+37)+(12x-2)+(20x-29)+46=360\\12x+12x+20x+46+37-29-2=360\\44x+52=360\\44x+52-(52)=360-(52)\\44x=308\\x=7[/tex]how many meters can a sprinter run in 3 mins at 600 m/min ?
Answers
big pp big ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig pp
Answers
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
3 loaves
4 loaves
5 loaves
7 loaves
Answers
A store sells bottles of water for $1.50 each. During the first hour the store was open, x bottles of water were sold. During the
second hour, the store sold 3 fewer bottles of water than it sold during the first hour. During the third hour, it sold three times as
many bottles of water as it sold during the second hour. The store was paid a total of $117.00 for bottles of water sold during these
three hours. The equation shown below represents these sales.
1.5x + 1.5(x - 3) + 1.5.3(x - 3) = 117
How much money was the store paid for bottles of water sold during the second hour it was open?
(A) $15.00
(B) $22.50
(C) $27.00
(D) $67.50
Answers
Answer: 22.50$
Step-by-step explanation:
1.5x+1.5(x-3)+1.5*3(x-3)=117
1.5x+1.5x-4.5+1.5(3x-9)=117
3x-4.5+4.5x-13.5=117
7.5x-18=117
7.5x=135
x=135/7.5
x=18
hour 2
1.5(18-3)=
1.5*15= 22.5$
Answer:
The answer is $22.50
Step-by-step explanation:
On a piece of paper, graph f(x) = 6× (0.4)^x Then determine which answer choice matches the graph you drew.
Answers
One a piece of paper, graph f(x)= (0.4)^x. To determine which answer choice matches the graph you drew.
Answer: Graph B
The graph of a function f(x) = 6(0.4)× is shown in graph (B) because the domain of the function is all real numbers and the range of a function is f(x) > 0, the y-intercept of the function is (0, 6)
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = 6(0.4)×
The domain of the function is all real numbers.
The range of the function:
f(x) > 0
Plug x = 0
y = 6
Thus, the graph of a function f(x) = 6(0.4)× is shown in graph (B) because the domain of the function is all real numbers and the range of a function is f(x) > 0, the y-intercept of the function is (0, 6)
Learn more about the function here:
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