Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
Step-by-step explanation:
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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
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A rectangle has a length of (3x2 -5x + 7) and a width of (-5x2 + 8x - 2). What is the perimeter of the rectangle?
A.
-4x2 + 6x + 10
B.
8x2 + 13x + 9
C.
-2x2 + 3x + 5
D.
-16x2 + 26x + 11
Answer: D
Step-by-step explanation: Just solve for perimeter of a rectangle by just plugging the side length in with these equations.
divide (27x^3+ 12x) by 3x^2 (due tomorrow)
Answer:
9x+4/x
Step-by-step explanation:
hope this helps!
an equation for a line with a slope of zero.
Answer:
M=0
Step-by-step explanation:
Youre welcome
Answer:
y=3
Step-by-step explanation:
what is the function shown on this graph
A. y=3×+2.
B. y=1/3x -2.
C. y=3x-2.
D. y=-3x-2
Answer:
I'm pretty Shure b is ur answer
6.Angle 30degrees + x is equal to 180 degrees. Find x
-80
-70
Help meh to answer. I
A sequence of numbers can be thought of as a function, where fin) represents the n term of the sequence. Which of the following could be the domain of this function?
positive real numbers
O positive integers
Inational numbers
Orational numbers
Answer:
Rational numbers
Step-by-step explanation I put D on a test and I got it right
Samantha would like to purchase a new pair of shoes that cost $80.00. If she has a coupon for 25% of the price of the shoes, what will be the new price of the shoes after the discount?
A. $20.00
B. $4.00
C. $60.00
D. $18.00
Answer:
C.$60.00
Step-by-step explanation:
Find the 52nd term in the following sequence.
-31, -41, -51, -61,
Answer:
[tex]a_{52}[/tex] = -541
Step-by-step explanation:
pleasee help please
Answer:hi
Step-by-step explanation:
Suppose you have 7 dimes and 6 nickels in your pocket. How many ways can you reach
into your pocket and select one of each type?
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
I’ll mark as BRANLIEST!!!
25 POINTS!
-Write a function rule for the area of a rectangle whose length is 3 inches more than the width. What is the area of the rectangle when its width is 7 inches. Remider: A=1xw
Answer:
70=A
Step-by-step explanation:
7=3+7=10x7=70=A
Find the slope, or rate of change, from the following ordered pair
(16,2) and (32,4)
Answer:
m = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Slope Formula is...
m= rise / run or [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Two Coordinate Points / Ordered Pair: (16,2) and (32,4)
Your rise is...
4 - 2
Your run is...
32 - 16
Together the fraction reads...
(4 - 2) / (32 - 16)
Then do the subtracting to get....
2 / 16 ( 2 over 16)
Don't forget to simplify...
*2 can go into 2 and 16
Making the equation....
1 / 8 (one over 8)
So your m (slope) is ... [tex]\frac{1}{8}[/tex]
What is the difference between 10 x 4 + 5 and 10 x (4 + 5).
Answer:
The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D
Step-by-step explanation:
I hope this helps!!!!
Answer:
[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]
[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]
[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]
[tex]See\ the\ difference!![/tex]
For g(x) = 8x2 – 2x + 5, find g(3).
A.O
83
B. O 71
С.
437
D.
78
Answer:
15
Step-by-step explanation:
16 - 2x3 +5
16 - 6 +5
16 - 1
15
equavalent expression to (1/3) divided by 4/5
9514 1404 393
Answer:
(1/3)(5/4)(5/15)/(12/15)5/12Step-by-step explanation:
There are an infinite number of equivalent expressions. A couple of them are ...
(1/3)/(4/5) = (1/3)(5/4) . . . . . division is multiplication by the inverse
(1/3)/(4/5) = (5/15)/(12/15) . . . . converted to common denominators*
_____
* this latter form is useful in that the ratio is then the ratio of the numerators, 5/12
What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
To know more about permutations follow
https://brainly.com/question/1216161
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4. Emilio asks his classmates what month they were born. He finds that 15
out of 125 classmates were born in July. If there are 1,280 students in
Emilio's school, how many students can he expect to have birthdays in July
based on the experimental probability?
Ok
Answer:153
Step-by-step explanation:
From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.
If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:
= 3/25 × 1280
= 153.6
There will be 153 students expected
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?
A. 32
B. -32
C. 5
D. 24
Answer:
D. 24
Step-by-step explanation:
Plug in -14 to the equation:
f(x) = 2x - 4(x + 1)
f(-14) = 2(-14) - 4(-14 + 1)
Simplify:
f(-14) = -28 - 4(-13)
f(-14) = -28 + 52
f(-14) = 24
So, D is the correct answer.
help me plz...................................
Hey there!
• Reminder: “x” is a unknown number so will say it is an invisible 1!
x/9 = 6
• FIRST: MULTIPLY by 9 on BOTH SIDES
x/9 × 9 = 6 × 9
• CANCEL out: x/9 × 9 because that gives you 1
• KEEP: 6 × 9 because that gives the value of your “x”
• New equation:
x = 6 × 9
6 × 9 = 54
Because 54 ÷ 9 = 6
Answer:
x = 54 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
For DE=29,find the length of segment BC
which equation is represented by this graph?
A. y = 2/3x - 2
B. y = 2/3x + 3
C. y = 3/2x - 2
D. y = 3/2x + 3
3/2x-2
C. it should be this one
9514 1404 393
Answer:
A. y = 2/3x - 2
Step-by-step explanation:
The line intersects the y-axis at -2, so eliminates choices B and D, which have y-intercepts of +3.
The line has a rise of 2 grid squares for a run of 3 grid squares, so has a slope of ...
m = rise/run = 2/3 . . . . . eliminates choice C
The appropriate choice is the one with a slope of 2/3 and a y-intercept of -2:
A. y = 2/3x - 2
✨SOLVE THE SOLUTION TO EACH SYSTEM OF INEQUALITIES ✨ PLS HELPPPPP ME
Can somebody plz help answer both word problems correctly thanks! And show the steps on how u got the answer for both question :))
WILL MARK BRAINLIEST WHEOVER ANSWERS FIRST :DD
Answer:
1. 24th 2. 140
Step-by-step explanation:
1. To figure out this problem, you would have to list the multiples of both 6 and 8.
6 (6, 12, 18, 24)
8 (8, 16, 24) because both have 24, that would be the answer.
2. There are 8 windows, all with the same perimeter. Each window's perimeter is 17.5 (17 1/2) so 8 windows would be 140 ft. (17.50 x 8 = 140)
an item has a listed price of $95 if the sales tax rate is 5% how much is the sales tax in dollars
Answer:
$4.75
Step-by-step explanation:
95 x 0.05 = 4.75
Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which statement about the value of the 5 in 775 and 89,507 is true? * 5 points It is the same in both numbers It is 10 times as great in the ZIP code than it is in the area code It is 100 times as great in the ZIP code than it is in the area code It is 10 times as great in the area code than it is in the ZIP code
Answer:It is 100 times as great in the ZIP code than it is in the area code
Step-by-step explanation:
step 1
Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500
Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5
it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code
Step 2:
Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.
The points (-1, r) and (5, -5) lie on a line with slope - 3. Find the missing coordinate r.
Can someone help me answer this
Answer:
x = 9
Step-by-step explanation:
56 + 3x + 7 = 90° because these angles are complementary
3x + 63 = 90 subtract 63 from both sides
3x = 27 divide both sides by 3
x = 9
