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
I a local store, almonds are sold at a rate of $15 per kg. Write an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg
Answers
Answer:
C = 15m
Step-by-step explanation:
Since the almonds are $15 per kg, the cost can be represented by 15m, where m is the number of kg.
To create the equation, set this equal to C, the cost in dollars:
C = 15m
So, the equation is C = 15m
Here is an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg of almonds sold at a rate of $15 per kg at a local store: C = 15m
The mass of the almonds closely relates to how much they cost. This implies that the price of almonds will rise along with the mass of the nuts. Since the proportionality constant is $15, the price will be $15 for every kilogram of almonds.
Let's use an illustration to try to comprehend this. A 2 kg purchase of almonds will cost $30. Since 2 x 15 = 30, this is the case.
To know more about equation:
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Rewrite (2x + 8) + 4 using the associative property. Then simplify.
Answers
Answer:
2x + 12
Step-by-step explanation:
Example of Associative Property Addition:
a + (b+c) = b + (a+c)
Now, implement it to the given expression:
(2x+8) + 4 = 2x + (8+4)
That simplifies to:
2x + 12
Answer:
(2x+12)
Step-by-step explanation:
We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.
We can write (2x+8)+4 as 2x+(8+4).
2x+(8+4) = 2x+12.
I really need help with this question please!
Answers
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Substitute the point into the equation and solve for b
5 = -2(1)+b
5 = -2+b
Add 2 to each side
5+2 = -2+b+2
7=b
y = -2x+7
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 π and enter your answer as a decimal.
Answers
Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
Answer:
Step-by-step explanation:
A full circle has a circumference of 2*pi * r
r = 1
so Full Circle = 2 * PI
1/4 Circle = 2*pi / 4 = 1/2 pi
The length of the arc length = 1/2 pi
Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57
La base de un rectangulo es doble que su altura Cuales son sus dimensiones si el perímetro mide 108 cm
Answers
Answer:
el ancho es
18
pulgadas y la longitud es
2
×
18
=
36
pulgadas.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?
Answers
Answer: $4.5/hour
Step-by-step explanation:
Total earned in 6 hours subtracted tips equals wage over 6 hours.
Divide by 6 hours to find individual hourly wage.
Answer: $4.50 per hour
Step-by-step explanation:
First, find how much she earned, excluding the tips.
73-46= 27
She earned $27 in the 6 hours, without tips
To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.
27/6 = 4 dollars 50 cents.
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answers
Answer:
Generally, the higher the temperature, the larger the population.
Step-by-step explanation:
The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.
graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answers
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
Please answer this question with any of the 4 choices i have been struggling with this
Answers
Answer:
Choice A. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Turn the mixed numbers into improper fractions:
[tex]\frac{14}{9} /\frac{7}{3}[/tex]Flip the second term and multiply:
[tex]\frac{14}{9} /\frac{3}{7}[/tex][tex]\frac{42}{63}[/tex]Simplify:
[tex]\frac{2}{3}[/tex]Answer:
A
Step-by-step explanation:
Last week, Lamar had $983.45 in his checking account. Since then, he paid $214.67 for his car loan. He also donated $15 to the fire department. Then, Lamar deposited the $50 check his grandma sent him for his birthday. What is Lamar's balance now?
Answers
Answer:
803.78
Step-by-step explanation:
983.45-214.67=768.78
768.78-15=753.78
753.78+50=803.78
answer is 803.78
Answer:
$803.78
Step-by-step explanation:
You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.
A group of eight golfers paid $445 to play a round of golf. Of the golfers, one is a member of the club and seven are nonmembers. Another group of golfers consists of three members and two nonmembers. They paid a total of $195 . What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Answers
Answer:
the cost for a member to play a round of golf: $95
the cost for a nonmember: $50
Step-by-step explanation:
the cost for a member to play a round of golf: $x
the cost for a nonmember: $y
x+7y=445
x+2y=195
=> y=50, x=95
Answer:
member: $95, nonmember: $50
Step-by-step explanation:
The graphs of functions f(x) and g(x) = f(x) + k are shown below
what is the value of k?
Answers
Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Answer:
The answer is k = 2. The value of k is 2.
Step-by-step explanation:
I hope this answers your question :) Have a great day :)
Question 14 (1 point)
A local bakery called "Becky's Bakery" makes 100 batches of cookies in 8 hours. If they keep up this
pace, how many batches of cookies would they make in 12
hours
Answers
Answer:
150 = x
Step-by-step explanation:
We can use a ratio to solve
100 batches x batches
------------------- = ---------------------
8 hours 12 hours
Using cross products
100 * 12 = 8x
1200 = 8x
Divide by 8
1200/8 = 8x/8
150 = x
Answer:
150
Step-by-step explanation:
Find how many batches in one hour
100/8 = 12.5
Multiply 12 hours with 12.5 batches
12 x 12.5 = 150
So, in 12 hours 150 batches are made.
What does point H represent?
Answers
Answer:
C
Step-by-step explanation:
please help me find what equals to x
Answers
1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.
Answers
x = -29/7
Step-by-step explanation:
A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)
= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58
A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7
Answer:
778744
Step-by-step explanation:
387t98878989890
please hlep me its ixl
Answers
Answer:
D
Step-by-step explanation:
D is the answer I did the math.
Hope this helps!
Answer:
d
Step-by-step explanation:
Please help me! I will give brainly
A picture shows the Washington Monument. The text below the picture reads, “The Washington Monument is made out of marble and has an aluminum pyramid at the top”. The height of the monument is labeled 554 and 3 fourths feet. The height at which the construction work halted is labeled 152 feet.
Answers
Answer:
456ft
Step-by-step explanation:
Answer:
402.75
Step-by-step explanation:
554.75-152 = 402.75
Which of the graphs shows the solution to the inequality?
p < –2
Answers
Answer:
Graph C
Step-by-step explanation:
Complete the following sentences based on the graph of the function.
Answers
Answer:
1) Decreases
2) not constant
3) non-linear
4) >
5) 8
6) 5
OAmalOHopeO
• The rate of change for y as a function of x is not constant, therefore the function is not linear
• For all values of x, the function value y > 0
• The y intercept of the graph is the function y=8
•When x=1 the function value of y=5
Click on pictures for question and graph
Answers
Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers
1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number
Answers
Answer:
option 3.
Step-by-step explanation:
alright, ima explain each option.
1. "smallest odd numbers" 2 is an even number. that's out of the playing field.
2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.
3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]
4. they do multiply to 30, but this does not help break the composite numbers down.
5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.
sub to gauthmath sub reddit if ya can !
Which equation is a direct variation function?
y = x²
y = 1/4x + 2
y = 4
y = x
Answers
y=X equation is a direct variation function.
I need help with this please!!
Answers
Answer:
8(3j -2)
4(6j -4)
Step-by-step explanation:
24j - 16
Rewriting
8*3*j - 8*2
Factor out the greatest common factor
8(3j -2)
We can also factor out 4
4*6j - 4*4
4(6j -4)
Answer:
A & C
Step-by-step explanation:
A) 8(3j-2)
= 24j-16
B) 6(4j-2j)
= 24j -12 j (not equal)
C) 4 (6j-4)
24j -16
D) 2(12-8)
24-16 (not equal)
Therefore only A and C are equivalent to 24j-16
Answered by Gauthmath
Can you please answer my question please,
Answers
I’ll mark brainliest HELP
Which answer choice correctly complete the sentence? The Problem Solving Plan is a method to A. show all your work in math. B. give an example of a real-life problem. C. make solving a word problem easier. D. check to see if your answer is reasonable.
Answers
Answer:
c
Step-by-step explanation:
(4.5y +9)-(6.2-3.1y)= 7.2y+2.8
Answers
Answer:
0
Step-by-step explanation:
(4.5y+9)-(6.2-3.1y)=7.2y+2.8
4.5y+9-6.2+3.1y=7.2y+2.8
4.5y+3.1y+9-6.2=7.2y+2.8
7.6y+2.8=7.2y+2.8
7.6y-7.2y=2.8-2.8
0.4y/0.4=0/0.4
y=0
I hope this helps
Is it illegal in california to eat raw oranges in bathroom?
Answers
Answer:
nah it's illegal in cali to eat raw oranges in the bathtub, but im not sure if that's a real law
so i guess if ur on the toilet or smth you can eat it...but like why would you? like in the bathroom?
Answer:
No, it's not.
Step-by-step explanation:
It's not even a real law. People used to think that the citric acid coming from the orange would mix with bath oils and create an explosion. As it turns out, citric acid, obviously, does not cause any explosions when mixed with bath oils. It's just gossip.
You used 6 3/4 cups of sugar while baking muffins and nut bread for a class party. You used a total of 1 1/2 cups of sugar for the muffins. Your nutbread recipe calls for 1 3/4 cups of sugar per loaf. How many loaves of nutbread did you make?
Answers
Answer:
Step-by-step explanation:
1. Convert to decimals.
[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar
[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar
[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar
2. Subtract muffin sugar from total sugar
6.75 cups total sugar - 1.50 cups fir muffins = 5.25 cups remaining
3. Divide remaining sugar by amount used per loaf nutbread
5.25 cups sugar / 1.75 cups for each loaf nutbread = 3
3 Loaves of nutbread were made.
Please Help Will Give Points
Answers
Answer:
2
Step-by-step explanation:
