expand (2a +36) (2a-3b

Answers

Answer 1

Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n
∑
k
=
0

n
C
k
⋅
(
a
n
−
k
b
k
)
(
a
+
b
)
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=
∑
k
=
0
n
⁡
n
C
k
⋅
(
a
n
-
k
b
k
)
.
3
∑
k
=
0

3
!
(
3
−
k
)
!
k
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(
2
a
)
3
−
k
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(
−
3
b
)
k
∑
k
=
0
3
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3
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(
3
-
k
)
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k
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(
2
a
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3
-
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-
3
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k
Expand the summation.
3
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(
3
−
0
)
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0
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⋅
(
2
a
)
3
−
0
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−
3
b
)
0
+
3
!
(
3
−
1
)
!
1
!
⋅
(
2
a
)
3
−
1
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−
3
b
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+
3
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(
3
−
2
)
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2
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2
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3
−
2
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−
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2
+
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2
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3
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3
3
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0
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-
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b
)
3
Simplify the exponents for each term of the expansion.
1
⋅
(
2
a
)
3
⋅
(
−
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
−
3
b
)
+
3
⋅
(
2
a
)
⋅
(
−
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
−
3
b
)
3
1
⋅
(
2
a
)
3
⋅
(
-
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
-
3
b
)
+
3
⋅
(
2
a
)
⋅
(
-
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
-
3
b
)
3
Simplify each term.
Tap for more steps...
8
a
3
−
36
a
2
b
+
54
a
b
2
−
27
b
3
8
a
3
-
36
a
2
b
+
54
a
b
2
-
27
b
3

Related Questions

the question is in the photo

Answers

Answer:

yes

Step-by-step explanation:

half of x which is 4 = y which is 2

you keep doing that with the rest of the xs and ys

A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?

Answers

Answer:

Step-by-step explanation:

the answer would have been 16.75 but you cant divide a class, so you round up.

Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?

Answers

Answer:

Step-by-step explanation:

I'm writing this to get to the 20 character minimum

Answer:

26 Questions

Step-by-step explanation:

Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.

Answers

Answer:

Circumference of the circle = 17.8 units

Area of the circle = 25.1 square unit

Step-by-step explanation:

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)

r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]

r = [tex]2\sqrt{2}[/tex] units

Therefore, circumference = 2π(2√2)

= 17.77

≈ 17.8 units

Area of the circle = πr²

= π(2√2)²

= 8π

= 25.13

≈ 25.1 square unit

Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.

Answers

Answer:

600

Find the x-intercepts.

Tap for more steps...

x-intercept(s): (6007,0)

Find the y-intercepts.

Tap for more steps...

y-intercept(s): (0,40)

List the intersections.

x-intercept(s): (6007,0)

y-intercept(s): (0,40)

Step-by-step explanation:

a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers?

Answers

Answer:

-28

Step-by-step explanation:

20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8

Answers

Answer:

-2.5

Step-by-step explanation:

-4 5/8 = -4.625

2 1/8 = 2.125

-4.625 + 2.125 = -2.5

Answer:

-20/8 or -2 1/2

Step-by-step explanation:

-4 5/8 + 2 1/8

Convert mixed numbers into improper fractions

-37/8 + 17/8

Add the numerators but NOT the denominators

Final Answer: -20/8 or -2 1/2

can i get brainiest

If its 9:00 am what time will it be in 50 hours

Answers

Answer:

in 50 hours it will be 11 am 2 days later

Step-by-step explanation:

24 hours is one day

2*24 = 48 hours is 2 days

50-48 = 2 hours

add 2 hours to 9 am

11 am

in 50 hours it will be 11 am 2 days later

Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5

Answers

Answer:

[tex]\fbox{y = -3x + 5}[/tex]

Step-by-step explanation:

You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];

where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]

Plugging these values into slope-intercept form gives:

[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:

We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.

The point that the line passes through is the y-intercept: [tex](0,5)[/tex].

Point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]

Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.

[tex]y-(5)=-3(x-(0))[/tex]

Simplify the equation on both sides.

[tex]y-5=-3(x)[/tex]

Add 5 to both sides of the equation.

[tex]y=-3x+5[/tex]

This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.

The answer is [tex]D) \ $y = -3x+5[/tex].

· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?

Answers

Answer:

$4,504.69

Step-by-step explanation:

Convert to meters: 22 km

Answers

Answer:

22000 meters

Step-by-step explanation:

1km = 1000m

22km×1000

22000

14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh

Answers

Answer:

28?

Step-by-step explanation:

Answer:

Step-by-step explanation:

jzbsi siveid eishjwie isbeidbd dibeiehd jsheosb djdbdiebkd isbdodbd idjeidn zidbodd jsjdodn zjdj

..................................................................................................dotty gangz .............................................................................

------------MAKE SOME NOICEEEEE --------

!!! 3ill MoB !!!

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year. How much money did she put in each account? Use the general formula, I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Answers

Answer:

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

Step-by-step explanation:

Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.

I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.

Step 1

We have to calculate the total interest earn on the initial capital

P = $2,560

R = 7.25% = 0.0725

T = 1

I = $2,560 × 0.0725 × 1

I = $185.60

Let the amount Invested in the account that paid 6% interest = x

Let the amount Invested in the account that paid 8% interest = y

Hence:

$185.60 = x × 6% + y × 8%

$185.60 = 0.06x + 0.08y......Equation 1

$2560 = x + y........ Equation.2

x = $2560 - y

$185.60 = 0.06x + 0.08y......Equation 1

185.60 = 0.06(2560 - y) + 0.08y

185.60 = 153.6 - 0.06y + 0.08y

185.60 - 153.60 = 0.02y

y = 32/0.02

y = $1600

x = $2560 - y

x = $2560 - $1600

x = $960

The amount she put in the account that paid 6% interest = x = $960

The amount she put in the account that paid 8% interest = y = $1600

A Store has 120 customers in 6 hours.What is the unit rate in customers per hour

Answers

Answer:

Step-by-step explanation:

120/6=20

which angle pairs are congruent? Select all that apply

Answers

Answer:

Step-by-step explanation:

The first and last one

12=6x+3y solve for y

Answers

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

Determine the percentage of increase/decrease of the following exponential equation.
y = 4(1.75)x

Answers

7 percent increase.

Mr. Bartol bought 20 pizzas for a 6th grade party. The total cost was
260.
w much does 1 pizza cost?

Answers

Answer:13

Step-by-step explanation:

Does the equation y=-2x-3 represent a linear function

Answers

Answer:

For example, the linear equation 3y + 2x = 6 has an x intercept when y = 0, so 3(0) + 2x = 6. The x-intercept is (3, 0). Likewise the y-intercept occurs when x = 0. The y-intercept is (0, 2).

...

Graph the linear equation y + 3x = 5.

x values 5 – 3x

Step-by-step explanation:

hope this helps

Which one is the bigger number 3.5F or 5F.

Answers

Answer: 5F is the bigger one, because a whole number is bigger than the decimal

Answer: 5F is the answer.

Step-by-step explanation:

Drew pls mark me brainiest!!!

Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/

Answers

Answer:

x > -17/6 or x < -1/2

Step-by-step explanation:

4 |3x + 5| + 20 > 6

4 |3x + 5| > -14

|3x + 5| > -14/4

This is where the two equations split.

3x + 5 > -14/4

3x > -17/4

x > -17/6

- (3x + 5) > -14/4

3x + 5 < 14/4

3x < -3/2

x < -1/2

Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.

Write 9.84 as a mixed number in simplest form

Answers

Answer:

[tex]9\frac{21}{25}[/tex]

Step-by-step explanation:

Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.

Hope this helped! :))

Answer:

Step-by-step explanation:

Mixed numbers are a whole number and a fraction together

sooo 9.84= 9 84/100 but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25

so write 9 21/25

Help me please now...

Answers

Answer:

see below

Step-by-step explanation:

sqrt(24) = sqrt( 4*6)

sqrt( 4) sqrt(6)

2 sqrt(6)

Drag numbers to complete the table for missing values of x, x2, and x3.

Answers

Answer:

Values are:

x x²

10 100

What Eva the person on top said is rightly

The ratio of oak trees to maple trees in a park is 6 to 4. What percent of the trees in the park are oak trees?

Answers

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

a shape is shown on the graph
Which of the following is a reflection of the shape

Answers

Answer:

one reflection would be (-2, -2) (-2,-4) and (-6, -2)

Step-by-step explanation:

Hope this helps

Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)

Answers

so first of we have to know that the equation has to be y=mx+b. So now we plug in 0 & 7, the 0 replaces the x and the 7 replaces the y and we already know the slope which is a -2. So then when we plug all it in we have 7=-2(0)+b.
7=-2(0)+b
7=0+b
subtract 0 from both sides and then we get:
7=b
then we put it into a equation which is:
y= -2x+7

please help, due today thanks

Answers

the second question is 48 !!
mark me brainliest please <3

Answer:

what are the given of that hakdog

[-4.5 + 12] = what is the anserw

Answers

Answer:7.5

Step-by-step explanation:

Answer:

The answer will be 8.5

One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.

Answers

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = [tex]\frac{1}{5}x[/tex]

Their difference = 328

[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]

x = 410

Positive number = [tex]\frac{1}{5}*410=82[/tex]

The numbers are 410 , 82

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expand (2a +36) (2a-3b​

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expand (2a +36) (2a-3b