What is the factored form of b3 − 1,000?
Answers
Kindly, check the attachment below to see the answer.
The factor form of expression (b³ - 1,000) will be;
⇒ (b - 10) (b² + 10b + 100)
What is mean by Factor?
A number or an algebraic expression that divides the another number or algebraic expression is called the factor of same number.
Given that;
The algebraic expression is;
⇒ b³ - 1,000
Now, Solve the expression for the factor form as;
Since, The formula is;
a³ - b³ = (a - b) (a² + ab + b²)
Hence, we factor the expression b³ - 1,000 with the help of above formula as;
⇒ b³ - 1,000
⇒ b³ - 10³
⇒ (b - 10) (b² + b × 10 + 10²)
⇒ (b - 10) (b² + 10b + 100)
Thus, b³ - 1,000 = (b - 10) (b² + 10b + 100)
Therefore,
The factor form of expression (b³ - 1,000) will be;
⇒ (b - 10) (b² + 10b + 100)
Learn more about the factors visit;
https://brainly.com/question/25829061
#SPJ5
Related Questions
If U = 3 inches, V = 4 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?
Answers
Answer:
55
Step-by-step explanation:
Let me know if I'm right or wrong :)
A. 1 1/2
B.-3 3/8
C.3 3/8
D. -1 1/2
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:1 \frac{1}{2} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] - 2 \frac{1}{4} \div ( - 1 \frac{1}{2} )[/tex]
➼ [tex] \: \frac{ - 9}{4} \div( \frac{ - 3}{2} )[/tex]
➼ [tex] \: \frac{ - 9}{4} \times \frac{ - 2}{3} [/tex]
➼ [tex] \: \frac{ - 9 \times - 2}{4 \times 3} [/tex]
➼ [tex] \: \frac{18}{12} [/tex]
➼ [tex] \: \frac{3}{2} [/tex]
➼ [tex] \: 1 \frac{1}{2} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
A honeydew melon is shaped like a sphere with a diameter of 8 inches. Which value is closest to the volume of the melon?
Answers
Answer:
The volume of sphere = 268.08
Step-by-step explanation:
Below is the calculation for the volume of melon (sphere).
Given the diameter of the sphere is = 8 inches
Now find the radius by dividing the diameter by 2 = 8/2 = 4 inches
Now use the below formula to find the volume.
The volume of sphere = [tex]\frac{4}{3} \times \pi \times r^{3}[/tex]
The volume of sphere = 268.08
Alyssa opened a bank account that earns 1.5% simple interest. Over 4 years, she earned $72 in interest. How much money did
she initially deposit into the bank account?
Answers
Answer:
1200
Step-by-step explanation:
72/4=$18 interest each year
amount x interest rate = interest
amount x .015 = 18
amount = 18/.015
amount = 1200
3x^2-12x-21=0 solve by completing the square
Answers
Answer:
x = 2 ± √11 (I believe)
Step-by-step explanation:
Right triangle ABC is shown.
Which equation can be used to solve for c?
3
O sin(50%) =
3
3 m
A
С
O sin(50%) =
win
a
50°
С
O cos(50%) =
B
ulm mlu
O cos(50%) =
Answers
Answer:
[tex]\sin(50^o) = \frac{3}{c}[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Expression to solve c
To solve for c, we simply calculate the sine of angle at B
i.e.
[tex]\sin(50^o) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(50^o) = \frac{3}{c}[/tex]
Make c the subject
[tex]c = \frac{3}{\sin(50^o)}[/tex]
someone please help me
Answers
Answer:
it is the 3rd option, 6 + 3b < 15
Step-by-step explanation:
at most she's spending $15 and she has to multiply the box of $3 crackers by how many she's buying
This is because at most she has 15 so the sign above means less than or equal to meaning she has to spend less than 15 or exactly 15 and the unit rate is $3 per box
5. As part of his math assignment, Santos has to estimate the height
of a lighthouse. He decides to use what he knows about 30-60-90
triangles. Santos makes the measurements shown below. About how
tall is the tower? Explain.
measurements:
60°
5ft
58 ft
Answers
.Room 1 and Room 2 have 58 students in total. 4 students are transferred from Room 1 to Room 2. Now the two rooms have the same number of students. How many students were there in each room before the transfer?
Answers
Assuming exponential function has a starting value of 360 and a decay rate of 73% write an equation to model the situation
Answers
Answer:
a = 360 * 0.27^n
Step-by-step explanation:
a = 360 * (1 - .073)^n
a = 360 * 0.27^n
Select the correct answer.
Which statement is true?
Answers
Solve for x. *
3(x + 4)^2=75
Answers
Answer:x=1,-9
Step-by-step explanation:
HELP ASAP please!!!
What is the area of this polygon?
___ units2
If you can please explain with you answer!! Thank you so much!
Answers
Answer:
39 units
Step-by-step explanation:
area of polygon = area of rectangle VERD + area of triangle MVR
[length of rectangle (6) * width of rectangle (5)] + [1/2 * 3 (height of triangle) * 6 (height of triangle)] = area of polygon
(6*5) + (1/2*3*6) = area of polygon
30 + 9 = area of polygon
area of polygon = 39
In a crash safety test, engineers accelerate teo cars toward each other so that the fistance in meters between them is modeled by
[tex]d(t) = 25 - {t}^{2} [/tex]
, where t is time in seconds. What is the domain on which the model is applicable?
A.
[tex]0 \leqslant t \leqslant 25[/tex]
B.
[tex]0 < t < 5[/tex]
C.
[tex]0 < t < 25[/tex]
D.
[tex]0 \leqslant t \leqslant 5[/tex]
Answers
What force impacts all machines and reduces its energy?
Answers
Answer:
Step-by-step explanation:
FRICTION impacts all machines and reduces energy.
is there anybody play free fire
Answers
Answer:
whats that
Step-by-step explanation:
is it a fun game
Answer:
no
Step-by-step explanation:
A basket ball team won 10 games and lost 15 games, what is the ratio of number of wins to
the total number of games played?
Answers
Answer:
10:25
Step-by-step explanation:
10 is the total of won games
10=won
+15=lost
---------------
25 games
therefore 10 is to 25
4. The table shows a proportional relationship between x and y. For each value of sondy
Y
match it to the correct unit rote
in it's simplest form.
**3 and y27
** and y. 81
* 21 and y 128
x 14 and 84
* 12 and y = 36
* 15 and y 45
Answers
Answer:
21 and y128
Step-by-step explanation:
Answer:
i don't know the answer but i do have this book just look up answer key and the name of the book for any more answer X D
Step-by-step explanation:
big brain :)
An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded. Which could be the number of scoops sold if they rounded to the nearest thousand? Choose all answers that apply
Answers
Answer:
B - 12,111
C - 11,589
Step-by-step explanation:
Here are the options
A - 10, 999
B - 12,111
C - 11,589
In order to round off to the nearest thousand, look at the hundred figure, if the number is greater or equal to 5, add 1 to the thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit
Rounding off 10,999 to the nearest thousand is 11,000
the hundred figure is greater than 5, so one is added to the thousand figure. The
Rounding off 12,111 to the nearest thousand is 12,000
the hundred figure is less than 5, so zero is added to the thousand figure.
Rounding off 11,589 to the nearest thousand is 12,000
the hundred figure is equal to 5, so one is added to the thousand figure.
Triangle ABC is given by the points A(3, 2), B (4, 4), and C(5, 1). Select True or False for each statement.
Answers
Answer:
C. The perimeter of ΔABC is 7.6 units.
Step-by-step explanation:
Triangle ABC is given by the points A(3, 2), B(4, 4), and C(5, 1). Determine if each statement is True or False.
A. The perimeter of ΔABC is 9.9 units.
B. ΔABC is an equilateral triangle.
C. The perimeter of ΔABC is 7.6 units.
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene, acute, obtuse and right angled triangle.
The distance between two points (x₁, y₁) and (x₂, y₂) in the coordinate plane is:
[tex]Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Given the vertices of triangle ABC as A(3, 2), B(4, 4), and C(5, 1). Therefore we have to calculate the side lengths of the triangle:
[tex]AB=\sqrt{(4-3)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5} \\\\AC=\sqrt{(5-3)^2+*(1-2)^2}=\sqrt{4+1}=\sqrt{5} \\\\BC=\sqrt{(5-4)^2+(1-4)^2}=\sqrt{1+9}=\sqrt{10}[/tex]
1) Perimeter of the triangle = AB + AC + BC = √5 + √5 + √10 = 7.6 units
2) Since only two sides of the triangle are equal (i.e. AB = AC), hence the triangle is an isosceles triangle.
1) What is the volume of this aquarium?
5 in.
6 in.
5 in.
10 in.
18 in.
Answers
Como simplifico la fracción 75/1746
Answers
Hello, can someone solve my addmaths question here? Btw, this is from the Differentiation topic (･ัω･ั)
The displacement of a squirrel running on a straight cable for t seconds is given by s(t)=t²-3t, where t≥0. By using first principles, find the velocity of the squirrel when t=5.
Answers
Which table represents a linear function?
Answers
Answer:
table C represents a linear function.
Answer: Its the first one
Step-by-step explanation:
Took the test review and got it correct.
Hope this helps peeps!
A stock loses half its value each week. If the stock started at $125, what is it worth after 4 weeks?
Answers
Answer: 7.81
The formula is
y = 125* (1/2)^4
y = 125 / 16
y = 7.81
So at the end of the 4th week, the stock is worth only 7.81 dollars.
If that is not the motive and the first week doesn't count then the formula changes to...
y = 125 * (1/2)^(n-1)
y = 125 * (1/2)^3
y = 15.625 could be the other answer if you looked at it in that perspective
However, I would go with 7.81 as the answer.
Hope I helped :)
If f(x) = 5x – 2,
find f(3)
f(3) = 13
find f(-4)
|(-4) =
Enter your next step here!
Answers
Answer:
Step-by-step explanation:
f(x)=5x-2
f(3)=5*3-2
=15-2
=13
f(-4)=5*-4-2
=-20-2
=-22
Answer:
the answer is -22
Step-by-step explanation:
5*(-4)-2
= -22
Vis inversely proportional to r, when r = 3, V= 10.
Find the constant of proportionality.
For full credit, write a proportion and show work.
[Please help I have been stuck for an hour on this]
Answers
Answer:
Constant of proportionality = 30
Example: r = 6, V = 5
Step-by-step explanation:
Inverse proportion: V*r = constant
Given r=3, V=10, constant = V*r = 30
Example:
r = 6, V = 30/6 = 5
Which of the following is equivalent to 7a^4 + 3a^4?
(7+ 3)a^4
(7 + 3)a^4+4
(7 • 3)a^4+4
(7 • 3)a^4
Answers
Hope this helps :D
(m2-m-4)+(m-5) (1 point)
Answers
Answer:
2−9
Step-by-step explanation:
You take redundant away, then do subtract, then combine terms. It will give solution.
Inequality
Choose all answers that apply
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option A; [tex]m \leq\frac{3}{5}[/tex]
»»————- ★ ————-««
Here’s why:
We can use inverse operations to solve for 'm'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm':}}\\\\5m+1\leq4\\--------\\\rightarrow 5m + 1 - 1 \leq 4 - 1\\\\\rightarrow 5m\leq3\\\\\rightarrow \frac{5m\leq3}{5}\\\\\rightarrow \boxed{m\leq\frac{3}{5}}[/tex]
⸻⸻⸻⸻
Any number that is less than or equal to the value of three-fifths would work.
The option that is less than or equal to (3/5) is option A.
Assuming that there are more options than the options shown, choose the numbers that are less than or equal to (3/5).
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.