Simplify:
(2/d^2)^3
Please help :)
Answers
(1): "d2" was replaced by "d^2".
STEP
1
:
Equation at the end of step 1
(2d2 - 3d) - 2
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2d2-3d-2
The first term is, 2d2 its coefficient is 2 .
The middle term is, -3d its coefficient is -3 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2d2 - 4d + 1d - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2d • (d-2)
Add up the last 2 terms, pulling out common factors :
1 • (d-2)
Step-5 : Add up the four terms of step 4 :
(2d+1) • (d-2)
Which is the desired factorization
Final result :
(d - 2) • (2d + 1)
Your welcome
Related Questions
Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
Consider ground level to be 0 .
What value represents the elevation of the hole relative to ground level after digging for 2(1)/(2) hours?
Enter your answer as a simplified mixed number in the box.
Answers
Answer:
3 1/3 feet
Step-by-step explanation:
Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.
Hope this helps :)
One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *
Answers
Does the following relationship represent a function?
Answers
Answer:
Yes. It represents a function. The x and y inputs represent functions, so it is indeed a function.
Step-by-step explanation:
If using SAS to determine if a triangle is unique, you must know:
Answers
Answer:
It is important to note that SAS construction will always produce one, unique triangle. It does not matter how much you flip, rotate or move the ...
Step-by-step explanation:
Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s2, where s is the length of one side.
Find the total surface area that Abby will paint.
1. Find the surface area of cube 1. Show your work, and include units with your answer.
2. Find the surface area of cube 2. Show your work, and include units with your answer.
3. What is the total area Abby will paint?
Answers
Answer:
54 sq ft, 24 sq ft, 78 sq ft
Step-by-step explanation:
1. Each side of cube 1 is 3 feet x 3 feet, so each side has an area of 9 square feet. Multiply by 6 sides and the area is 54 square feet.
2. Each side is 2 feet x 2 feet so the area of one side is 4 square feet. Multiply by 6 sides and the area is 24 square feet.
3. 54 + 24 = 78 square feet
This one i number 7…..
Answers
Answer:
i dont know if im right but i think that its C
Step-by-step explanation:
Please help me find all choices that apply to the question
Answers
Answer:
which question
Step-by-step explanation:
can someone help me thank you
Answers
Answer:
Thrid one down
Step-by-step explanation:
It turns the other way.
Answer:
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Help me plz:
11. Solve the following equations:
a. 5(x - 4) = 10
b. 2x(4x + 3x) = 21
c. 3(4 - 2x) = 28
d. 10x(2 + 13) = 300
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
A. 5(x - 4) = 10 [tex] \sf5(x - 4) = 10[/tex][tex] \sf(x - 4) = 10 \div 5[/tex][tex] \sf \: x - 4 = 2[/tex][tex] \sf x = 2 + 4[/tex][tex] \sf x = 6[/tex]B. 2x(4x + 3x) = 21 [tex] \sf2x(4x + 3x) = 21[/tex][tex] \sf2x(7x) = 21[/tex][tex] \sf14 {x}^{2} = 21[/tex][tex] \sf {x}^{2} = 21 \div 14[/tex][tex] \sf x {}^{2} = \dfrac{3}{2} [/tex][tex] \sf x = \sqrt{ \dfrac{3}{2} } [/tex]C. 3(4 - 2x) = 28[tex] \sf3(4 - 2x) = 28[/tex][tex] \sf12 - 6x = 28[/tex][tex] \sf - 6x = 28 - 12[/tex][tex] \sf x = 16 \div - 6[/tex][tex] \sf x = - \dfrac{8}{3} [/tex]D. 10x(2 + 13) = 300[tex] \sf 10x(2 + 13) = 300[/tex][tex] \sf10x(15) = 300[/tex][tex] \sf10x = 300 \div 15[/tex][tex] \sf x = 20 \div 10[/tex][tex] \sf x = 2[/tex]I hope it helps ~
Please help me solve all these parts and you get brainlest
Answers
Answer:
1. is not. 2. 13
Step-by-step explanation:
Answer:
Is not. 2.13
Step-by-step explanation:
help pleases
Evaluate the expression when b=8
3b²
Answers
here is your answer
3(8)²
3*64
192.......
Mr. DaCosta and his workers are tiling a bathroom wall using square-inch tiles. The area of the wall is 6,048 square inches. There are 72 rows of tiles.
How many tiles are in each row?
A.
85
B.
84
C.
840
D.
805
Answers
Answer: B.84
Step-by-step explanation:
1) Substitute the given information into the equation Area= length * width
2) 6,048 = 72 * x
3) Divide by 72 to find x
6,048/72 = 84
4) The answer is 84 tiles in each row
Which term best describes the relationship between the two events described below?
When a bowler gets 12 consecutive strikes in a game, he bowls a perfect game.
A. causation
B. The events are not related.
C. correlation
D. implication
Answers
Answer:
Correlation
Step-by-step explanation:
I think
The relationship between the two events is one of implication (Option D.), where achieving 12 consecutive strikes implies the occurrence of a perfect game, but it does not necessarily indicate a causal or universally correlated relationship.
The term that best describes the relationship between the two events described is implication.
In this context, the statement implies that when a bowler achieves 12 consecutive strikes in a game, it is an indication or implication that the bowler has bowled a perfect game. This means that if the first event (getting 12 consecutive strikes) occurs, it logically leads or implies the occurrence of the second event (bowling a perfect game). However, it does not necessarily mean that every perfect game is achieved through 12 consecutive strikes, as there can be alternate ways to achieve a perfect game.
Therefore, the relationship between the two events is one of implication, where the occurrence of the first event suggests or implies the occurrence of the second event, but they are not always causally linked or universally correlated.
To know more about events, refer here:
https://brainly.com/question/10999000
#SPJ2
A jar is filled with quarters and nickels in the ratio 1 2/5 to 2 1/3. If there are 24 quarters in the jar, what is the ratio in dollar value of quarters to that of the nickels???
Answers
Answer:
3 : 1
Step-by-step explanation:
The ratio of coins is ...
1 2/5 : 2 1/3 = 7/5 : 7/3 = 3 : 5
The quarters have 5 times the dollar value of nickels, so the ratio of dollar values is ...
5(3) : 5 = 3 : 1
The quarters have 3 times the dollar value of the nickels.
__
Additional comment
The number of nickels is 5/3 times the number of quarters, so is 5/3(24) = 40.
The dollar value of the quarters is 24($0.25) = $6.
The dollar value of the nickels is 40($0.05) = $2.
As above, the ratio of dollar values is 6:2 = 3 : 1.
__
There are a few different ways to compute the ratio of fractions. The one we used here may be a little unusual. All are equivalent.
[tex]\bullet\quad\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}\qquad\text{"invert and multiply"}\\\\\bullet\quad\dfrac{a}{b}\div\dfrac{c}{b}=\dfrac{a}{c}\qquad\text{ratio of numerators with the same denominator}\\\\\bullet\quad\dfrac{a}{b}\div\dfrac{a}{c}=\dfrac{c}{b}\qquad\text{inverse ratio of denominators with the same numerator}[/tex]
Bertha read 21 books. Each book had 155 pages. How many pages did she read altogether?
Answers
Answer:
3255
Step-by-step explanation:
21x3255=
answer: 3225
What is the range of possible sizes for side x
Answers
Answer:
0.8 < x < 16.8
Answer:
i think that the size for side x is 8.2
Step-by-step explanation:
hope this helps!
plzz help me this is my last chance
Answers
Answer:
C. This is the answer because it doesn't have to be answered.
Answer:
B
Step-by-step explanation:
B is a question that doesn't need an answer, but is used to make the reader think.
-10+16 divided by (-2)+7
*Please show work!*
Answers
Answer:
= 1 1/5
Step-by-step explanation:
= -10+16/(-2)+7
= 6/5
= 1 1/5
Help plz:
10. Remove the parentheses by multiplication:
a. 6(2a - 4) =
b. x(2x + 10) =
c. 5(9x - 9) =
d. 3x(2x - x) =
Answers
Answer:
A = 12a - 24
B = 2x² + 10x
C = 45x - 45
D = 6x² - 3x²
Step-by-step explanation:
You can solve all of these by distributing the first number/variable into the parenthesis. Just multiply the number outside the parenthesis by each of the terms inside the parenthesis.
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answers
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
3. Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use the addition property of equality and multiplication property of equality in your answers. (8 points: 1 point for each question)
5x + 2y = 7
3x – y = 2
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)
Why is this multiplication allowed? (1 point)
What variable will be eliminated when the equations are combined after
the multiplication? (1 point)
Next, add the equations together. Your answer should be a single equation with one variable. (1 point)
Why can you add the equations? (1 point)
Solve the equation for x. (1 point)
Substitute x back into one of the equations to solve for y. (1 point)
What is the solution to the system of equations? (1 point)
Answers
Answer:
Step-by-step explanation:
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations. (1 point)
5x + 2y = 7
6x –2y = 4
Why is this multiplication allowed? (1 point)
Because the entire equation was multiplied by the same number, the equation remains the same.
What variable will be eliminated when the equations are combined after the multiplication? (1 point)
The Y variable
Next, add the equations together. Your answer should be a single equation with one variable. (1 point)
11x = 11
Solve the equation for x. (1 point)
X = 1
What is the solution to the system of equations? (1 point)
X = 1 and Y = 1 so the answer is (1, 1)
(If you solve this again, but eliminate the X variable, you will still receive that answer 1, so Y = 1)
Sorry my first answer was wrong
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week (1 point) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
A
Step-by-step explanation:
4c + 6a < = 120 ...4(20) + 6(6) = 116 <== correct
4c + 4a < = 100....4(20) + 4(6) = 104 <== incorrect
Sally has 243.75 pieces of candy. John has 27.4 pieces of candy. How many pieces of candy do they have in all? John thinks altogether there are 217.15 pieces of candy. Is he correct? Explain your thinking.
Answers
Answer:
Yes, John is correct.
Step-by-step explanation:
To find the total amount of candy you must add the amounts Sally and John have. Sally has 243.75 and John has 27.4. When you add those two together you can 217.5 which is what John thinks therefore he is correct.
Help :
6. Solve the following equations:
a. x + 8 = 28
b. y - 4 = 30
c. s + 2s = 36
d. t - t + 4t = 16
e. 5a = 15
f. 8x - x = 21
Answers
A) x + 8 = 28
x = 28 - 8
x = 20
B) y - 4 = 30
y = 30 + 4
y = 34
C) s + 2s = 36
3s = 36
s = 12
D) t - t + 4t = 16
4t = 16
t = 4
E) 5a = 15
a = 3
F) 8x - x = 21
7x = 21
x = 3
[tex] \\ [/tex]
KemberlyJChris went to the store to buy some sports equipment. His mother had given him $30.00 to spend, and Chris took some of his own money along. He bought shin guards for $15.00, 2 pair of soccer socks for $7.99 each and a mini-soccer ball for $9.99. How much of his own money did he need to use?
Answers
Answer:
10.97
Step-by-step explanation:
Add 15, 7.99, 7.99, and 9.99. Then subtract 30 witch = 10.97
It’s 10.97
PLS ANSWER, ALL THE QUESTIONS IN THE PICTURE. ITS DUE SOON PLS HELP, SHOW WHO U SET UP EACH PROBLEM .
Answers
Answer:
3. It's b and c 4. total number of participants in marathon=99+121=220 percentage of female = 121/220×100 =55% 5. the answer is 7
Step-by-step explanation:
The Mongolian Giant Sunflower produces seeds that are over 1 inch long, grow up to 18 feet tall, and flowers that are 1 ½ feet wide. Each flower head produces 1,000 seeds. You decide to harvest the seeds at the end of the season so that you can sell them the following spring. If you save 8 flowers for harvesting, how many seeds is that? Write your answer in scientific notation.
Answers
Answer:
8*10^3
Step-by-step explanation:
The Mongolian Giant Sunflower produces seeds that are over 1 inch long, grow up to 18 feet tall, and flowers that are 1 ½ feet wide. - All of this information is useless, all the question is asking is how many seeds do 8 flowers produce.
Each flower head produces 1,000 seeds. If you save 8 flowers for harvesting, how many seeds is that? - 1000*8 = 8000. 8000 is scientific notation is 8*10^3, as 10^3=1000, and 1000*8=8000 seeds.
PLEASE HELP IMMEDIATELY!! ITS WITH ORDER OF OPERATIONS AND PEMDAS!!
Answers
Answer:
Answer for question 1: 52
Answer for Question 2: 68
Answer for question 3: 40
Answer for Question 4: 25
Step-by-step explanation:
1: [tex](4 + 3)^2[/tex] = [tex]7^2[/tex] = 49 (12 ÷ 4) = 3
3 + 49 = 52
2: [tex](12 * 9- 7^2) + 9[/tex] = 12 * 9 = 108 - 49 = 59 + 9 = 68
3: 28 ÷ 7 = 4 + [tex]6^2[/tex] = 40
4: [tex](2 * 7 + 4^2) - 5[/tex] = 2 * 7 = 14 + 16 = 30 - 5 = 25
Hope this helps!
Identify the pattern rule for this sequence: 1, 4, 2, 8, 6, 24, 22…
Answers
Answer:
Times four then Minus 2
Step-by-step explanation:
1 times 4 is 4 then minus 2 is 2
1 x 2 = 4, then 4-2 equals two. then 2x4=8, then 8 minus two equals 6, and so on!
Hmm, What is the answer?
PLEASE HELP ME!!!
Answers
Answer:
y = kx.
Step-by-step explanation:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Answer:k=yx
Step-by-step explanation: