Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)

Answer:

105/120

48/120

50/120

Step-by-step explanation:

8, 5, 12

8 = 2³

5 = 5

12 = 2² × 3

LCD = 2³ × 3 × 5 = 8 × 3 × 5 = 120

120/8 = 15

7/8 = (7 × 15)/(8 × 15) = 105/120

120/5 = 24

2/5 = (2 × 24)/(5 × 24) = 48/120

120/12 = 10

5/12 = (5 × 10)/(12 × 10) = 50/120

Answer:

An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form

[tex]ax 2 + bx + c[/tex]

is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.

Step-by-step explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

[tex]kai6417[/tex]

Answer:

y=3x+5

Step-by-step explanation:

first you find the slope by doing rise over run. then you would put the slope into point-slope formula which is y-y1=m(x-x1), then you simplify into y=mx+b  (slope intercept form). which gets you your final answer.

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± [tex]\sqrt{25}[/tex] = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

Answer:

y = x + 18

Slope = 1

Intercept = 18

Step-by-step explanation:

I feel like this graph would be better at describing it than words.  Basically, for every time that it goes up once, it also goes over once, and it starts at the height of 18.

Answer:

They each get 8 cookies

Step-by-step explanation:

24 divided by 3 is 8. There are other ways if the question allows there to. be some cookies left over.

Using the permutation formula, it is found that there can be 600 winning combinations.

There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem:

Hence:

[tex]T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600[/tex]

There can be 600 winning combinations.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

Simplifying the same denominators first:

16/5 - 13/5 = 3/5

So, we're brought down to:

3/5 + 30/7 + 3/2

35 goes into 5 and 7, so I'll simply 3/5 + 30/7 next -

7 x (3/5) to get 21/35

5 x (30/7) to get 150/35

Now add the two to get 171/35

(150+21=171)

Finally find a common denominator for 35 and 2.

(35x2=70)

2 x (171/35) --> 342/70

35 x (3/2) -->  105/70

Add up 342+105 to get 447 & put over 70.

Answer is 447/70

(It can't be simplified any further than this.)

Hope this helps!

[tex] \leadsto \tt y=-2(x+1)(x-2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2(x {}^{2} - 2x + x - 2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2(x {}^{2} - x - 2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2x {}^{2} + x + 2[/tex]

Answer:

1/2 m

Step-by-step explanation:

It is because 4 = 4/1, 8 = 8/1 and 4/1 divided by 8/1 is also equal to 4/1 times by 1/8 which equals 4/8.

4/8 is simplified to make 1/2m

hope this helps mark brainliest

Answer:

The answer should be C

Answer:

[tex]f^{-1}(7)=2[/tex]

Step-by-step explanation:

[tex]f^{-1}(7)[/tex] means substitute x = 7 into the inverse function [tex]f^{-1}[/tex]

[tex]\implies f^{-1}(7)=\frac{7-1}{3} =2[/tex]

Answer:

50.5 m^3

Step-by-step explanation:

Volume of pyramid = 1/3 × base area × height.

Area of Base:

Next, we multiply 13.76 by 11.

Lastly, divide by 3 and round to nearest tenth.

Therefore, the answer is 50.5 m^3

answer

x=180-87-33

= 60

Answer:

30

Step-by-step explanation:

the sum of the three angles in a triangle is 180

so we have,

70+70+x=180

140+x=180

x=180-140=40

now, find the sum of 40 and 63

it is 103

subtract,

180-103=77

add,

77+73=150

180-150=30

30

can you mark me brainliest

Answer:

34

Step-by-step explanation:

73 + 73 = 146

180 - 146 = 34

Have a good day!

Answer:

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Step-by-step explanation:

Table of ordered data

number of       value

data

1                      62

2                      88

3                      89

4                      90

5                      92

6                      95

7                      96

8                      98

9                    100

10                  100

Range of scores: 100 - 62 = 38

Oulier: 62 => Range without the outlier = 100 - 88 = 12

Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1

Quartlies of all the data:

1                      62

2                      88

3                      89 ---------------   first quartile, Q1 = 89

4                      90

5                      92

------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5

6                      95

7                      96

8                      98 ---------------- third quartile, Q3 = 98

9                    100

10                  100

=> IQR = 98 - 89 = 9 : the interquartle range is 9

Quartlies without the outlier:

2                      88

3                      89

------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5

4                      90

5                      92

6                      95 --------------- median, Q2 = 95

7                      96

8                      98

------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99

9                    100

10                  100

=> IQR = Q3 - Q1 = 99 - 89.5 =  : the interquartle range without the outlier is 9.5

Therefore, the outlier impacts more the range than it impacts the IQR.

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Answer:

x = 15

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

I did this quickly, so please check the logic.

I find x = 15

Step-by-step explanation:

See attached image.  Note that I've defined 3 triangles and their Pythagorean equations.  I also define a third line, RQ, as z.  Rearrange the equations and substitute in a way that allows elimination of all variables except x.

Answer:

247/612

Step-by-step explanation:

247 heart beats / 612 minutes

beats/ minutes

Based on given conditions,

[tex]a²b + 3 ab - (-5 a²b - 9 ab) [/tex]

[tex]→a²b + 3 ab + 5 a²b + 9 ab[/tex]

[tex]→(a²b + 5 a²b) + (3ab + 9 ab[/tex]

Now collecting the coefficients and adding them,

[tex](1 + 5)a²b + (3 + 9)ab[/tex]

[tex]→6 {a}^{2}b + 12ab[/tex]

Hence, the 6a²b + 12ab should be added.

Answer:

x = 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=0x-7 or y=-7

Step-by-step explanation:

Hi there!

We want to write the equation of the line that passes through the point (-6, -7), but that also has a slope of 0

There are many ways to write the equation of the line; one of the most common ways is to use slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope of this line, we can immediately plug it into the equation as m

So substitute 0 as m in the equation:
y=0*x+b

Multiply

y=0x+b

We can also rewrite it as y=b, but for right now, y=0x+b will be helpful for our calculations

We need to find b now.

As the equation passes through the point (-6, -7), we can use it to help solve for b

Substitute -6 as x and -7 as y:

-7=0(-6)+b

Multiply

-7=0+b

Simplify

-7=b

Substitute -7 as b into the equation.

y=0x-7, or y=-7

Hope this helps!

Take a look here for a similar problem for practice if you wish: https://brainly.com/question/25424204

Answer:

$20

Step-by-step explanation:

if one ound = 16 ounces then you would do 1.25x16 witch equals $20

If oranges were 1.25$ per pound. then the cost to buy x pounds of oranges would be 1.25x $.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If oranges were 1.25$ per pound. We need to find the cost to buy x pounds of oranges.

The cost of oranges per pound = 1.25$

The cost of oranges x pound = 1.25$ × x

                                                 = 1.25x $

Thus, The cost to buy x pounds of oranges would be 1.25x $.

Learn more about the unitary method;

https://brainly.com/question/23423168

Answer:

4:23

Step-by-step explanation:

4 to 23 is the ratio because if some is representing the rest of the horses then there is 23 black and 4 white so 4 to 23 is the ratio of white to black horses.

Hope it helps have a great day :)

y= mx=b.y= 3x-8

Step-by-step explanation:

lmk if its wrong

Answer:

a ≈ 9.8 yd³

Step-by-step explanation:

Given: V ≈ 941 yd³

Using the formula: V = a³

Solving for a: A = [tex]V^{\frac{1}{3} }[/tex]  = [tex]941^{\frac{1}{3} }[/tex] ≈ 9.79933

Round to the nearest tenth: a ≈ 9.8

Answer:

Step-by-step explanation:

the equation for right cylinder surface area: 2πrh+2πr^2

Answer:

33π cm²

Step-by-step explanation:

To find surface area you add the area of every face.

Area of the 2 circle faces:

The formula for the area of circle is πr². If the diameter is 6 you divide that by 2 to get a radius of 3. The area of the circle is 9π. Sense the top and bottom are both circles you multiply the area by 2 to get 18π.

Area of side face:

To find the area of the side, it is the same as a rectangle (length [circumference] multiplied by height [2.5]). The forumla for the circumference of a circle is πd. The circumference is 6π so multiply that by the height of 2.5 to get the area of the side of 15π.

Total surface area:

Now add the 18π (area of 2 circle faces) with the 15π (area of side face) to get 33π cm² surface area.

Check the picture below.

In essence, the two triangles made by the radii and the twin tangent lines are congruent by SSS or even for right-triangles congruence by LL.

Applying the tangents theorem, the arc measures are:

Arc EG = 140°

Arc EF = 120°

Arc FG = 100°

The tangents theorem states that a tangent to a circle forms a right angle (90 degrees) at the point of tangency, and also, if two tangents meet at point outside a circle, both tangents are equal.

Using the tangent theorem, we would find the central angles opposite arc EF, FG, and GE which are all the same measure as their central angles.

Let the center of the circle be point O.

m∠EOG = 2[180 - m∠PEG + m∠EOP)] (central angle opposite to arc EG)

Substitute

m∠EOG = 2[180 - 90 + 1/2(40)]

m∠EOG = 140°

Arc EG = m∠EOG = 140°

Arc EG = 140°

m∠EOF= 2[180 - m∠QFO + m∠FQO)] (central angle opposite to arc EF)

Substitute

m∠EOF = 2[180 - 90 + 1/2(60)]

m∠EOF = 120°

Arc EF = m∠EOF = 120°

Arc EF = 120°

m∠FOG = 2[180 - m∠RFO + m∠FRO)] (central angle opposite to arc FG)

Substitute

m∠FOG = 2[180 - 90 + 1/2(80)]

m∠FOG = 100°

Arc FG = m∠FOG = 140°

Arc FG = 100°

Therefore, applying the tangents theorem, the arc measures are:

Arc EG = 140°

Arc EF = 120°

Arc FG = 100°

Learn more about tangents theorem on:

https://brainly.com/question/9892082