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Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:cause yussss
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
Answer:
y=-f(x)-3
Step-by-step explanation:
when f is negative it is reflected over the x-axis and -3 means to translate 3 units down
y = -f(x) – 3 describes the graphed function.
When f is negative it is reflected over the x-axis.
-3 means to translate 3 units down.
How do you identify a function?By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.
What are examples of graph functions?Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.Learn more about graph functions here: https://brainly.com/question/4025726
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Sean is buying 9/16
pound of tea at a tea shop. The cost of tea is $24 per pound.
The cost of 9/16 pounds of tea is $13.50.
How to determine the cost of 9/16 pounds of teaIn order to determine the cost of 9/16 pounds of tea, the cost of a pound of tea would be multiplied by 9/16 pounds.
Cost of 9/16 pounds of tea = 9/16 x 24
= $216/16
= $13.50
To learn more about multiplication, please check: https://brainly.com/question/3385014
What is the area, in square meters, of the rhombus above?
Answer:
C
Step-by-step explanation:
Answer:
Answer is D
Step-by-step explanation:
In order to find the answer you would need to multiply 7 square meters by 7.9 square meters which would get 55.3 square meters.
Twelve waters cost $9. How many can you buy with $3?
Answer:
4 bottles of Water
Step-by-step explanation:
First, we need to find how much each water costs. So, I created this equation below.
9/12=?
The answer to the equation is .75, or 75 cents.
So, we can now make yet another equation to find the amount to buy with 3 dollars.
3/.75=?
The answer to that equation is 4.
Thus, the answer is 4 bottles of water.
Simplify:
3-2i
-11-8i
Answer:
1i and -19i
Step-by-step explanation:
3-2=1, therefor: 1i
-11-8=-19, therefor: -19i
Please help me with a math question ASAP!!! Will give Brainliest
Below is a screenshot of the problem
Answer: 128
Step-by-step explanation: 3 x -2 + 70 = 64 + -2 + 70 = 128
5(x+3)-5
simplify this.
Answer:
5x+10
Step-by-step explanation:
Distribute:
=(5)(x)+(5)(3)+−5
=5x+15+−5
Combine Like Terms:
=5x+15+−5
=(5x)+(15+−5)
=5x+10
can yall do the work of the answer 95 to this
9514 1404 393
Answer:
? = 95°
Step-by-step explanation:
Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.
arc QR + arc RS + ? = 360°
190° +75° +? = 360°
? = 360° -265° . . . . . . subtract 265° from both sides
? = 95°
Find the slope between the points: (3,4) and (-1,-2)
Answer:
3/2 hope this helps hqhahjajja
Pls answer this is urgent
Answer:
9 hours
Step-by-step explanation:
12 times 9 equals 108
108 - 9 equals 99
evaluate the expression for n=6 (your answer will be a number)
3n - 3
Answer:
15
Step-by-step explanation:
3(6) - 3 =
18 - 3 =
15
What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?
Step-by-step explanation:
2πr^2h
2*22/7*6*6*3
2*22/7*36*3
2*22/7*108
what is 2/3x + 1/4x= 6 ??????
Answer:
x=72/11
Step-by-step explanation:
Which is the solution for ln(3x - 5) = ln(11) + ln(2) ?
Answer:
B: x=9
Step-by-step explanation:
You have to use the property of logarithms
that says ln A + ln B = ln AB. So here we have
ln (3x - 5) = ln 11 + ln 2 = ln 22
Therefore 3x - 5 = 22, from which x = 9
Write the equation of the line that passes through the points (-4, 7) and (-6, -4).
Answer:
y = 11/2x + 29
Step-by-step explanation:
the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
A) AAS
Step-by-step explanation:
y=4x+7 in standerd form
Answer: Y=4x+7 in standard form is, 4x + 7y = 7
Step-by-step explanation:
Donna wants to calculate the height of a tree. She finds the length of the tree's shadow is 25 meters and the angle of elevation from the ground to the top of the tree is 30°. Find the height of the tree to the nearest whole number.
Answer:55
Step-by-step explanation:
Which of the following is not a solution to the inequality
4x + 1 ≤ 18
A. 4
B. 4.23
C. 4.25
D. 4.27
Answer: A 4
step by step explmationn
Answer:
C. 4.25
Step-by-step explanation:
You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25
The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?
Answer:
Step-by-step explanation:
select the equation that represents the function given in the table below:
Please help!
Answer:
im to lazy to do an equation
Step-by-step explanation:
Which function has an inverse that is a function?
b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|
Answer:
All but the second one
Step-by-step explanation:
Find the inverse of each function:
b(x)=x^2+3
y=x^2+3
x=y^2+3
x-3=y^2
sqrt(x-3)=y
This inverse function is a function
d(x)=-9
y=-9
This doesn't have an inverse function
m(x)=-7x
y=-7x
x=-7y
-1/7x=y
This inverse function is a function
p(x)=|x|
y=|x|
x=|y|
x=y
This inverse function is a function
Therefore, all but the second function have inverses that are functions
Answer:
All but the second one have inverse functions
Step-by-step explanation:
Brainliest pls pls pls pls
!00 points and Brainliest plzzzz help, I will report false answers though
Answer:
4x+y=17 that the answer
Step-by-step explanation:
Answer:
-4x-17=y
Step-by-step explanation:
Distribute the -4 into the parenthises. Then subrtract the 1 from both sides.
The bakers at the healthy bakery can make 160 bagels in 10 hours how many bagels contain make in 16 hours
Answer:
256
Step-by-step explanation:
divide 160 by 10 to get the bagels per hour then times 16
Find the coordinates of quadrilateral "WXY' after a dilation with the scale factor of 2.
Original coordinates:
V(6, 2), W2,4), X-3, -2), Y(3, -5), scale factor of 2
8
W
0 -86
10
12
NEED HELP ASAP
Answer:
2,1
Step-by-step explanation:
Answer: no
Step-by-step explanation:
Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.
Answer:
y= -7x+7
Step-by-step explanation:
y= mx+b
y= slope x+ y intercept
The equation of the line having the slope -7 and y-intercept is 7 is: y = -7x + 7
What is the equation of line?A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.
We are given that the slope m is -7,
and the line crosses the y-axis at 7.
so the value of c = 7
Therefore, we can substitute these values into the slope-intercept form to get:
y = -7x + 7
So the equation of the line is y = -7x + 7.
To know more about Line check:
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help please I will give brainiest
someone please help!! 60 points!!
Answer:
It C am sure it correct....
Answer:
I think the answer would be C.
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answer:
yes
Step-by-step explanation:
Which function is best represented by the graph?
