Answers
Answer:
81[tex]x^{4}[/tex] + 216x³ + 216x² +96x + 16
Step-by-step explanation:
Using the binomial theorem
With coefficients from Pascal's triangle for n = 4
1 4 6 4 1
with decreasing powers of 3x from [tex](3x)^{4}[/tex] to [tex](3x)^{0\\}[/tex]
and increasing powers of 2 from [tex](2)^{0}[/tex] to [tex](2)^{4}[/tex]
Thus
[tex](3x+2)^{4}[/tex]
= 1[tex](3x)^{4}[/tex][tex](2)^{0}[/tex] + 4[tex](3x)^{3}[/tex][tex](2)^{1}[/tex] + 6(3x)²(2)² + 4[tex](3x)^{1}[/tex][tex](2)^{3}[/tex] + 1[tex](3x)^{0}[/tex][tex](2)^{4}[/tex]
=1.[tex]81x^{4}[/tex].1 + 4.27x³.2 + 6.9x².4 + 4.3x.8 + 1.1.16
= 81[tex]x^{4}[/tex] + 216x³ + 216x²+ 96x + 16
Related Questions
Which ordered pair is the solution to the system of equations?
x+2y=−8
y=1/2x−2
a(−4, −4)
b(−2, −3)
c(−6, −5)
c (−2, −1)
Answers
-2+ 2(-3)=-8
-2-6=-8
-3=1/2(-2)-2
-3=-1-2
-3=-3
Answer:
x = -2 and y = -3
Step-by-step explanation:
7.901×10 to the 12th power in standard form
Answers
Answer:
7019
Step-by-step explanation:
Answer:
Nan-9
Step-by-step explanation:
Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?
The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units. O
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.
Answers
Answer:
Only option D is one of the transformations needed.
Step-by-step explanation:
The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).
Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.
As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).
Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).
So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.
So, the three transformations needed are:
1. reflect over the x axis
2. shift right 8 units
3. shift up 20 units.
So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.
Sorry for the mistake!
Answer:
d
Step-by-step explanation:
I need the answer plzzz I really need it plzz help me
Answers
Answer:
Never learned it sorry but I have no idea bro good luck
Brianna makes a model of the Eiffel Tower for a school project. Her model is 25 centimeters wide at the bottom
If Brianna used a scale of 1 centimeter for every 5 meters, how vide is the actual Efe Towet?
Answers
The actual Eiffel Tower is 125 meters wide .
What is Multiplication?
Along with addition, subtraction, and division, multiplication is one of the four basic arithmetic operations. In mathematics, multiplication is the repeated addition of groups of equal size.
Here given, Brianna makes a model of the Eiffel Tower for a school project.
It is also given that the model is 25 cm wide at the bottom and Brianna used a scale of 1 centimeter for every 5 meters.
By multiplication, we can find the actual length of Eiffel tower
Here 1 centimeter for every 5 meters.
So, 25 centimeter means (5×25) = 125 meters.
Therefore, the actual length of the Eiffel tower is 125 meters.
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"Correct question is "Brianna makes a model of the Eiffel Tower for a school project. Her model is 25 centimeters wide at the bottom
If Brianna used a scale of 1 centimeter for every 5 meters, how wide is the actual Eiffel Tower?"
Factor the expression completely.
3x + 24
Answers
Answer:
3(x+8)
Step-by-step explanation:
In order to factor the expression completely, you need to find the greatest common factor of both numbers, which would be 3 because 3 fits in both numbers without leading to weird decimals or fractions.
3(x+8) is the answer.
B gn nonnegotiable BMI Brock chambers k cancel j click chilling connect m BLM
Answers
Answer:
what?
Step-by-step explanation:
free points...thanks?
PLZ HELP ME !!!!
Evaluate cot 45° without using a calculator by using ratios in a reference triangle. Will mark Brainliest.
Answers
Answer:
90°
BC ITS CORRECT
Step-by-step explanation:
HOPE THIS HELPS
Which of the following equations is not a true statement?
-5 + 6 = -1
7 - (-3) = 10
-9 - (-4) = -5
-7 - 10 = -17
PLEASE ANSWER FAST IM IN A HURRY
Answers
Explanation: The correct answer for that equation should be 1 not -1
Answer:
It's not correct statement
Step-by-step explanation:
-5 + 6 = -1
The diagram shows a regular dodecagon. Work out the size of one interior angle
Answers
9514 1404 393
Answer:
150°
Step-by-step explanation:
The size of one interior angle of a regular n-gon is ...
interior angle = 180° - 360°/n
For n=12, this measure is ...
= 180° -360°/12 = 180° -30°
interior angle = 150°
Answer:
150
Step-by-step explanation:
If a rectangle is 10 units wide and x units long what is the perimeter of this rectangle
Answers
Answer:
20+2x
Step-by-step explanation:
If you're just looking for an expression, then it would be 20+2x considering there's no way to solve for x, and there's 2 widths and 2 lengths of a rectangle
Answer:
20+2x
Step-by-step explanation:
12-5=88=5-12 emilyscarlett
Answers
Answer:
thx for da points :D
Step-by-step explanation:
A scooter travels 30 feet in 2 seconds at a constant speed.
The distance the scooter travels in 1 second is
feet. The distance the scooter travels in 3 seconds is
feet. The distance the scooter travels in 4 second is
feet. The distance the scooter travels in 5 second is
feet.
Answers
Answer:
The scooter travels 15 feet in 1 second
The scooter travels 45 feet in 3 seconds
The scooter travels 60 feet in 4 seconds
The scooter travels 75 feet in 5 seconds
Step-by-step explanation:
First, let's find the number of feet the scooter travels in 1 second
(30 : 2) ÷ 2 = 15 : 1
Now that we have the unit rate, we can easily find the answers to the other questions.
(15 : 1) x 3 = 45 : 3
(15 : 1) x 4 = 60 : 4
(15 : 1) x 5 = 75 : 5
I Hope That This Helps! :)
Quadrilaterals and other polygons
Answers
Answer:
B
Step-by-step explanation:
GUYS WHAT'S EBO ISHEK FROM IS QHAT
Answers
Answer: yes anazing splenddi
Step-by-step explanation:
Which of the following uses the reciprocal property to rewrite
16/24 = 56/x?
1: 24/16 = x/56
2: 24/x = 56/24
3: 24/16 = 56/x
4: 16/24 = x/56
Answers
Answer:
1
Step-by-step explanation:
All you do is flip the numbers and you get 24/16 = x/56
Hope I helped :)
A field hockey field is rectangular. Its width is 54.88 meters, and its perimeter is 289.76 meters. Find the length of the field.
Answers
Answer:
90 PLEASE MARK ME BRAINLLIEST
Step-by-step explanation:
289.76-54.88-54.88=180/2=90
Perimeter is the sum of the length of the sides used to make the given figure. The length of the field is 90 meters.
What is the perimeter?Perimeter is the sum of the length of the sides used to make the given figure.
Given that the width of the field is 54.88 meters and the perimeter of the field is 289.76 meters. Therefore, we can write the perimeter as,
Perimeter = 2(Length + Width)
289.76 meters = 2(Length + 54.88 meters)
289.76meters / 2 = Length + 54.88 meters
144.88metes = Length + 54.88 meters
Length = 144.88 meters - 54.88 meters
Length = 90 meters
Hence, the length of the field is 90 meters.
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You have 50 quarters. You find 20% more quarters in your room. Then you go shopping and spend 75% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Answers
Answer:
3.75
I think this is the answer
Answer:
50+(50×0.20)
and $3.75
Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?
A.
4m + 15 ≥ 35
B.
4m + 15 > 35
C.
4m – 15 ≥ 35
D.
4m + 15 ≤ 35
Answers
Answer:
A
Step-by-step explanation:
Inequality shows a relationship between two numbers or two expressions.
The inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is
15 + 4m ≥ 35
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
His goal for this week is to run a minimum of 35 miles.
So far this week, he has already run 15 miles.
The inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.
15 + 4m ≥ 35
4m = number of m miles run in 4 days.
Thus,
The inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is
15 + 4m ≥ 35
Learn more about inequalities here:
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Use the distributive property to write an expression that is equivalent to 8(7+x).
Answers
Answer:
56+8x
Step-by-step explanation:
Explanation: Multiply the 8 by the 7, then the 8 by the x. (8)(7) + (8)(x) Therefore the answer is 56 + 8x. This is called distributive property
Hope this helps! :)
Find the value of expression for (3.4) to the power of 2 show your work.
Answers
Answer:
11.56
Step-by-step explanation:
Find the greatest common factor of 15x2y3 and -20x3yz.
Answers
Answer:
5x^2y is the GCF for 15x2y3 and -20x3yz.
Step-by-step explanation:
What is the following product?
Answers
Answer:
C. [tex]\sqrt[6]{432}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{4}\ \cdot\sqrt{3}[/tex] = 2.749459274
[tex]\sqrt[6]{432}[/tex] = 2.749459274
[tex]\sqrt[3]{4}\ \cdot\sqrt{3}[/tex] = [tex]\sqrt[6]{432}[/tex]
Is this a proportional relationship?
Answers
Answer: yes
explanation: it starts at the origin of 0,0, which means its a proportional relationship
Determine the constant of proportionality for each table as y=kx
Pls freaking help me
Answers
Answer:
1,000
Step-by-step explanation:
all you have to do is y/x
3,000/3=1,000
HW#4: You are shopping at Target and 10 sheets of stickers cost $20.50...A. what would 3 sheets cost? B. what would 19 sheets cost? *
Answers
Answer:
50$b
Step-by-step explanation:
Which of these graphs represents a function?
2
5-4-3-2-1,
2
5
15-4-3-2-1,
4
2
3
4
w.
x
y
ST
ST
1
-5-4-3-2-1.
1
45
5-4-3-2-
2
Y
Z.
2020 Edimentum. All rights reserved.
Answers
The correct graphs which represents a function is shown in ''Option B.''
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
There are four graphs are shown in image.
Now, We can check all the graph by vertical line test.
If the vertical line cut only at one point of the graph, then, it shows the function.
If the vertical line cut more than one point of the graph, then, it cannot shows the function.
Hence, By vertical line test,
The correct graphs which represents a function is shown in Option B.
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WILL MARK BRAINLIST!!!
Sabrina's average speed was 8 miles per hour during the first half of her bike ride. She increased her average speed to 16 miles per hour during the second half of her bike ride. What percentage represents the increase in Sabrina's average speed during her bike ride?
A. 50%
B. 80%
C. 100%
D. 200%
Answers
if 8 is a whole (100%) and 16 is twice of that, you can conclude that her speed increased by 200%
I need help This assignment is due Tomorrow let’s go
Answers
2. B
3. C
4. ?
5. B
6. A C F
Answer:
1. C 25 because it's the opposite
2. B. 2 because there is only two negative
3. B. The opposite of 2 1/2 that will be negative
4. I can't see
5. C because if it had [5 3/4] it will be -5 3/4
6. A, C, and F
7. I don't know
PLSSSS HELPPPP I WILLL GIVE BRAINLIEESTTT!!!!!!!!!!
Answers
Answer:
Yes, this is a function.
No, this is not a linear function.
Step-by-step explanation:
A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
If this was helpful please mark brainliest. Have a great day.