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
)
n
=

k
=
0
n

n
C
k

(
a
n
-
k
b
k
)
.
3

k
=
0

3
!
(
3

k
)
!
k
!

(
2
a
)
3

k

(

3
b
)
k

k
=
0
3

3
!
(
3
-
k
)
!
k
!

(
2
a
)
3
-
k

(
-
3
b
)
k
Expand the summation.
3
!
(
3

0
)
!
0
!

(
2
a
)
3

0

(

3
b
)
0
+
3
!
(
3

1
)
!
1
!

(
2
a
)
3

1

(

3
b
)
+
3
!
(
3

2
)
!
2
!

(
2
a
)
3

2

(

3
b
)
2
+
3
!
(
3

3
)
!
3
!

(
2
a
)
3

3

(

3
b
)
3
3
!
(
3
-
0
)
!
0
!

(
2
a
)
3
-
0

(
-
3
b
)
0
+
3
!
(
3
-
1
)
!
1
!

(
2
a
)
3
-
1

(
-
3
b
)
+
3
!
(
3
-
2
)
!
2
!

(
2
a
)
3
-
2

(
-
3
b
)
2
+
3
!
(
3
-
3
)
!
3
!

(
2
a
)
3
-
3

(
-
3
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

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].

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

Answers

Answer:

20

Step-by-step explanation:

120/6=20

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%.

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.



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:

please help, due today thanks

Answers

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

Answer:

what are the given of that hakdog

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!

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!!!

Convert to meters: 22 km

Answers

Answer:

22000 meters

Step-by-step explanation:

Step-by-step explanation:

1km = 1000m

22km×1000

22000

which angle pairs are congruent? Select all that apply

Answers

Answer:

Step-by-step explanation:

The first and last one



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

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

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

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

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

Answers

7 percent increase.

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

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

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

[-4.5 + 12] = what is the anserw

Answers

Answer:7.5

Step-by-step explanation:

Answer:

The answer will be 8.5

· 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:

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

Answers

Answer:

25

Step-by-step explanation:

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

Answer:

26 Questions

Step-by-step explanation:

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

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:

7

x

+

15

y

=

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:

Help me please now...

Answers

Answer:

see below

Step-by-step explanation:

sqrt(24)  = sqrt( 4*6)

sqrt( 4) sqrt(6)  

2 sqrt(6)

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:

17

Step-by-step explanation:

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

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

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

Answers

Answer:

28?

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

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

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

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

!!! 3ill MoB !!!

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

Answers

Answer:

Values are:

x x²

10 100

5

What Eva the person on top said is rightly

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:

Other Questions
Amy can run the 150 meter dash in 50 seconds. John can run 1200 meters in 400 seconds. How fast does Amy run. How fast does john run? answer quick 50 points Estimate the sum 59.6 + 51.4 You withdraw $35 each month from your savings account. What integer represents the change in your balance after 9 months? how do you maintain good relation with your friend What is the volume of 4.62 g of mercury? The density of mercury is 13.5 g/cm3. can u simplify 18/56 into a fraction? Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was theamount of tip they left? 1. Observe and look around your community / baranggay . List 5 situation or scenarios of unhealthy environment. 2. How each of them impact you and your neighbour's health? Did the United States Government Do an Effective Job Supporting the War Effort? i give brainlest to the first answer of 2 questions and 20 pointsWho established a haven for Catholics when he helped found Maryland?William BradfordJames OglethorpeJohn WinthropCecil CalvertWhich statements accurately describe Roger Williams?Select all answers that are correct.He provided a colony just for Catholics.He supported religious toleration.He defeated the local Indians and won their land.He was the founder of Rhode Island. Yo soy Aurelio y 1. ________ gusta aprender en la clase de computadoras. T eres Marcelo y a ti 2. ________ gusta escribir. Ella es Susan y a ella 3. ________ leer. Marcelo, 4. ________ gusta estudiar? which of the following choices is equal to 22+36 A solution with a Ph of 13 would be classified as a_____strong basestrong acidweak acidweak base The quotient of 125 and 5 is .The quotient of 264 and 12 is .The quotient of 0 and 350 is .The quotient of 276 and 8 is . He was as great as a man can be without virtue meaning? Napoleon If 5x+1=-14, find the value of 3x+1. Next question; If 4(s+2)-2=22, find the value of 3s+2. Thank you!!! If you could answer this quickly pls. Solve for b.p=9(b-5) help awnser attach the awnser using image What role in Roman society was shared by plebeians and patricians?Both could serve as soldiers.Both could have enslaved workers.Both could be educated in the law.Both could hold jobs in government.