Answers
Answer: 9180
Step-by-step explanation:
(3 + 2x + x^2)^6 = x^12 + 12x^11 + 78x^10 + 340x^9 + 1095x^8 + 2712x^7 + 5284x^6 + 8136x^5 + 9855x^4 + 9180x^3 + 6318x^2 + 2916x + 729
This can be found using Pascal's Triangle.
The coefficient of x^3 is 9180.
Related Questions
Micah is shopping for work shirts. The short-sleeve shirts cost $18 each and the long-sleeve shirts cost $24 each. He wants to buy 2 more short-sleeve shirts than long-sleeve shirts, and he is willing to spend no more than $120 total. How many long-sleeve shirts can he buy?
Answers
Answer:
2
Step-by-step explanation:
18 + 18 = 36
36 + 24 = 60
60 + 18 = 78
78 + 24 = 102
102 + 18 = 120
There are two total long-sleeve shirts and four total short-sleeve shirts.
How do you write an equation from a statement?Statements to Equations Conversion and the Other Way Around
First, carefully read the sentence.Step 2: A value that is unknown or has to be located is designated as a variable, such as x, y, a, or b.Step 4: The expressions are created in accordance with the guidelines provided in the questions.Cost of 1 short-sleeve shirt: $18.
Cost of one long-sleeve shirt: $24.
Purchase 2 more short-sleeve shirts than long-sleeve shirts, and the total cost will be $120.
Assuming 2 long sleeves and 4 short sleeves, we get 120, or 2*24 + 4*18 = 120.
He purchased two long-sleeve shirts and four short-sleeve shirts after the condition was met.
Additionally, the requirement of 2 more short-sleeve shirts than long-sleeve shirts is met.
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d. How many dozen doughnuts are there in 46.2 doughnuts?
Answers
Answer:
3.85
Step-by-step explanation:
46.2/12=3.85
Answer:
3.85 dozens of doughnuts
Step-by-step explanation:
well first of a dozen equals 12
dozen = 12
and if you have 46.2 doughnuts then you would divide that be 12
46.2 / 12 = 3.85
46.2 doughnuts is equal to 3.85 dozens
NEED HELP ASAP
SOLVE FOR H
Answers
Answer: h = 3V/(pi*r^2)
Step-by-step explanation:
V = (1/3)pi*(r^2)*h
h = 3V/(pi*r^2)
Which of these descriptions matches the graph
Answers
Answer:
oop
Step-by-step explanation:
oop
Answer:
No photo was given.
Step-by-step explanation:
Which graph represents the function f(x) = –|x + 3|?
Answers
Answer:
Step-by-step explanation:
f(x) = –|x + 3| is a case of the absolute value function
f(x) = -|x - {a}| + c, where (a, c) is the vertex. Comparing them, we see that
the value of a must be -3 and that of c must be 0.
Thus, the vertex of the graph is at (-3, 0), and the graph opens up; it looks like a "v" shape.
Next time, kindly share the given graphs.
Answer:
third graph
Step-by-step explanation:
Find the measures of angles A, B, C, D, E, F, G.
Answers
Answer:
A= 48°
B= 60°
C= 72°
D= 20°
E= 20°
F= 160°
G= 160°
Step-by-step explanation:
A= 180° -90° -42° (∠ sum of △)
A= 48°
D= 180° -42° -28° -90° (∠ sum of △)
D= 20°
E= D (vert. opp. ∠s)
E= 20°
G= 180° -D (adj. ∠s on a str. line)
G= 180° -20°
G= 160°
F= G (vert. opp. ∠s)
F= 160°
C= 180° -88° -D (∠ sum of △)
C= 180° -88° -20°
C= 72°
A +B +C= 180° (adj. ∠s on a str. line)
48° +B +72°= 180°
B +120°= 180°
B= 180° -120°
B= 60°
☆The sum of angles on a straight line is 180°
☆ The sum of angles in a triangle is 180°
B= 60
C= 72
D= 20
E= 20
F= 160
G= 160
Ask if you have any questions :D
What is the solution to -2(8x-4) is less than 2x+5?
Answers
Answer:
=−16x+8 for -2(8x-4)
Step-by-step explanation:
What is the solution to -2(8x-4)= -8x
What is the solution to 2x+5= 7x
so that means -2(8x-4) is less than 2x+5.
Answer: x > 1/6
Step-by-step explanation:
-2(8x - 4) < 2x + 5
Distribute:
-16x + 8 < 2x + 5
Subtract 2x from both sides:
-18x + 8 < 5
Subtract 8 from both sides:
-18x < -3
Divide both sides by -18:
x > 3/18 BUT this simplifies to:
x > 1/6
The reason the inequality flipped is because you divided both sides by a negative number.
The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.
Hope this helps!
PLZ help it is due today
Answers
Answer:
45 gallons
Step-by-step explanation:
60/4=15 so each quarter is 15 gallons. He already has 15 gallons so he needs 45 more.
Answer:
45 gallons
Step-by-step explanation:
60*1/4=15
15*3= 45
Which expression represents the phrase?
"4 more than the product of 8 and n."
A)
8n – 4
C)
4(8 + n)
B)
8n + 4
D)
(8 + n) – 4
Answers
Answer: B
Step-by-step explanation:
4 more than the product of 8 and n is represented as 8n + 4 because:
4 more means add 4 to it.
We see that option B gives up 8n + 4.
The expression in words is 4 more than the product of 8n.
The answer is B.
Answer:
8n + 4
Step-by-step explanation:
Product of 8 and n : 8*n = 8n
4 more than the product of 8 and n means 4 should be added to 8n
8n + 4
Percy held a gathering where he bought three 0.5-liter water bottles for each guest. If he invited 200 guests, how many gallons of water did Percy end up buying?
Answers
(6 r minus 1)(negative 8 r minus 3)
Answers
Answer:
8r
Step-by-step explanation:
(6r - 1)(-8r - 3)
(6r - 8r)( -1 - 3)
-2r(-4)
8r
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Which inequality represents this situation?
Players must practice at least 45 minutes a day.
A. t 45
D. t ≥ 45
Answers
Answer:
D.
Step-by-step explanation:
74 days to 39 days state whether the percent of change is an increase or decrease
Answers
9514 1404 393
Answer:
decrease
Step-by-step explanation:
39 is less than 74, so the change is a decrease, both in absolute and relative (percentage) terms.
__
The percentage change is ...
(39/74 -1) × 100% = -47.3% . . . . a decrease when the sign is negative
A farm has 60 animals. 80% of the animals are cows. How many cows are there on the farm?
Answers
Answer:
48
Step-by-step explanation:
80% of 60= 48
hope this helps
A number r is no less than −1.5 and fewer than 9.5.
Answers
Sorry if it’s wrong but I’m in 4th grade right now and had to do it on paper.
Use the function g () = 5x – 2 to complete the table. g (2) -4 -7 0 23 38
Answers
Answer:
8, -22, -37, -2, 113, 188
Step-by-step explanation:
Solve the equation and enter the value of x below.
x-12 = 8
X =
Answers
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?
Answers
Answer:
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
They did not run at same speed
Step-by-step explanation:
formula of speed = distance covered/ time taken
For Andre
Distance = 2 KM
time = 15 mins
60 mins = 1 hour
15 mins = 1/60 * 15 hour = 0.25 hours
thus,
speed = 2km/0.25 hour = 8 km per hour
Similarly for Jada
Distance = 3 KM
time = 20 mins
60 mins = 1 hour
20 mins = 1/60 * 20 hour = 1/3 hours
thus,
speed = 2km/(1/3)hour = 6 km per hour
Now we have
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
A 2-column table the first column is labeled Minutes per Week of Moderate/Vigorous Physical Activity with entries 30, 90, 180, 330, 420. The second column is labeled Relative Risk of Premature Death with entries 1, .8, .73, .64, .615.
According to the data, how does a persons relative risk of premature death change in coloration to changes in physical activity?
The risk of dying prematurely increases as people become more physically active.
The risk of dying prematurely does not change in correlation to changes in physical activity.
The risk of dying prematurely declines as people become more physically active.
The risk of dying prematurely declines as people become less physically active
Answers
Answer:
its c on edge
Step-by-step explanation:
Answer:
C. The risk of dying prematurely declines as people become more physically active.
Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
The difference of six times a number and seven results in 35.
Identify the steps necessary to solve the equation.
Answers
Answer:
Let the number be x
According to the question,
6x -7 = 35
=> 6x = 35 + 7
=> x = 42/6
=> x = 7
The solution to the equation is x = 7.
We have,
Let's assume the unknown number is represented by the variable 'x'.
- Translate the given information into an equation:
6x - 7 = 35.
- To isolate the variable 'x', start by adding 7 to both sides of the equation:
6x - 7 + 7 = 35 + 7.
- Simplify:
6x = 42.
- Next, divide both sides of the equation by 6 to solve for 'x':
(6x)/6 = 42/6.
x = 7
Therefore,
The solution to the equation is x = 7.
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Help!!!! Having trouble finding the answer any help would be good
Answers
Answer: The slope is 3/2 or 1.5
Step-by-step explanation:
The line is going through the origin meaning that the slope will be the coordinate of one of the points divided by its y coordinate.
One point that can be found on the line is (2,3)
Divide the y coordinate by the x coordinate to find the slope.
The y coordinate is 3 and the x coordinate is 2.
3/2 = 1.5
The slope is 3/2 or 1.5.
What is the slope of the line graphed below
Answers
Answer:
[tex]\frac{3}{4}[/tex] or 0.75
Step-by-step explanation:
I apologize if I'm incorrect
Write the equation of a line that is parallel to the line-y=-x+6
Answers
Answer:
y=x-5
Step-by-step explanation:
y=mx+b
if lines are parallel then that means the slope (m) is the same so the only thing left to change is the y-intercept (b). this can be anything but probably shouldn't be what the original was
It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?
By dividing 35 by 7.
By multiplying 35 by 7.
By finding the unit rate and dividing it by 7.
By finding the unit rate and multiplying it by 7.
Answers
Answer:
D.By finding the unit rate and multiplying it by 7.
Step-by-step explanation:
Answer:
D) trust me i know
Step-by-step explanation:
on the test it say its correct. vote and help other people!
Factor the following x^2+3x-108
Answers
Answer:3(6+x)(6-x)
Step-by-step explanation:
Used a math app
DON'T tell me it's easy or whatever because I'm having a hard time understanding it and someone on my last question WASTED my points.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(02.07 LC)
Two similar triangles are shown below:
Which two sets of angles are corresponding angles?
∠e and ∠h; ∠f and ∠g
∠e and ∠i; ∠f and ∠h
∠e and ∠g; ∠f and ∠h
∠e and ∠i; ∠f and ∠g
Answers
Answer:
im pretty sure the answer is ∠e and ∠i; ∠f and ∠g
but if not im so sorry :(
Answer:
The third answer
Step-by-step explanation:
Each angle on both triangles has a set of lines, either one, two, or three. These lines are used to show congruency over a number of lines or angles. So one angle will correlate with whatever other angles have that same number of lines. For example, e and g both have two lines, this means they are corresponding and congruent.
Which property of addition is shown in the equation below?
a + bi + 0 + 0i = a + bi
commutative property
inverse property
identity property
associative property
Answers
Answer:
c. Identity property
Step-by-step explanation:
edg 2020
Identity property is used in the equation a+bi+0+0i=a+bi.
What is identity property?
The identity property of addition says that the sum of 0 and any number is that number only.
How to check property?
We have been given the following equation
a+bi+0+0i=a+bi
when we multiply it with 0 we get 0 and the equation becomes
a+bi=a+bi
It shows the identity property of addition.
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helpppp please thanksssss .
what inequality represents each verbal expression?
a. all real #'s x greater than 2
b. 6 more than a # k is less than or equal to 12
Answers
Answer:
I think the answer is B
Step-by-step explanation:
The inequality that represents "all real number's 'x' greater than 2" is [tex]x > 2[/tex] and the inequality that represents "6 more than a number 'k' is less than or equal to 12" is [tex]6 + k \leq 12[/tex].
a)
Given :
All real number's 'x' greater than 2
So, the inequality that represents the given verbal expression is given below:
[tex]x > 2[/tex]
where 'x' is the real number.
b)
Given :
6 more than a number 'k' is less than or equal to 12.
So, the inequality that represents the given verbal expression is given below:
[tex]6 + k \leq 12[/tex]
where 'k' is the given number.
For more information, refer to the link given below:
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7x + 4 = 7x + 4
O One Solution
No Solution
O
Infinitely many solutions
Pleas help 59 points
Answers
Infinitely many because if you subtract 7x from both sides, you get 4 = 4, which is true at all times no matter what x is.
Find the Domain and Range of the graph below
Answers
Answer:
Domain:2,4,-6,-1,5
Range:-2,3,-1,0
Step-by-step explanation:
Range is your y axis and domain is your x-axis
For range the number 3 was repeated twice so you only have to put it once