The binomial expansion 1.728x^3+ 3,456x² + 2,304x + 512 can be expressed as (ax + b)^3. What is the value of b?
A: -12
B: -8
C: 8
D: 12

Answer:

Step-by-step explanation:

scale factor=3/2

(8,6)

(12,6)

(12,10)

use formula

(x,y)=(kx,ky)  (k means scale factor)

(8,6)=(3/2*8 , 3/*6)

=(24/2 , 18/2)

=(12 , 9)

(12,6)=(3/2*12 , 3/2*6)

=(36/2 , 18/2)

=(18 , 9)

(12,10)=(3/2*12 , 3/2*10)

=(36/2 , 30/2)

=(18 , 15)

Answer:

18 ,15

Step-by-step explanation:

jwihehf

kkeje

kkejjehgo

ekke

Answer:

Step-by-step explanation:

76 km    *     60 min  = 4560/49 km/hr = 93.1

49 min            1 hour

Answer:

.62 cents per box

Step-by-step explanation:

Take the total cost and divide by the number of boxes to get the unit cost

4.98 / 8

.6225 per box

It states to round to the nearest cent

.62 cents per box

Answer:

0.62

Step-by-step explanation:

4.98/8=0.6225

Then you round it and you get 0.62

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

Answer:

- 1

Step-by-step explanation:

[tex]3 + \sqrt{10 - {3}^{2} } - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = - 1[/tex]

because 3² = 9

and root {1} = 1

Answer:

20^4

Step-by-step explanation:

2^4x10^4=160000

20^4=160000

Answer:

91

Step-by-step explanation:

Replace x and y with given values

3^3 + 4^3

the third power of three is equal to 27 and the thrid power of 4 is equal to 64

27 + 64 = 91

Answer:

A)

Step-by-step explanation:

slope is the coefficient of the 'x' term and the y-intercept is the constant

Answer:

total price before sale = 20

total sale price = 5-original price

=5-20

= 15

mr randall bought 4 t-shirt =15×4=60

mr randall paid 60$ for the t-shirt

Answer:

8%

Step-by-step explanation:

If he earned $120 out of $1500, just do 120/1500 which will give you 0.08 which is 8 percent.

Answer:

3.06

Step-by-step explanation:

3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06

Answer:

3.055 rounded to the nearest hundredth = 3.06

Answer:

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).

[tex]f(x)=4x^3-9[/tex]

Inverse operations,

[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]

Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Answer:

I think the correct answer is

X<-9

Answer:

x >-9

Step-by-step explanation:

-2 ( x + 2 ) < 14

Step 1 :- Distribute -2 .

-2x -4 < 14.

Step 2 :- Move constant to the right-hand side and change their sign . And flip the inequality sign.

-2x > 14 + 4

Step 3 :- Add 14 and 4.

-2x > 18

Step 4 :- Divide both side by -2.

-2x / - 2 > 18 / -2

x = -9

We know that,

Volume of sphere = 4/3πr³

41572 = 4/3 × 22/7 × r³

41573 × 21/88 = r³

³√9,920.82 = r

21.48 cm = r

:)

The radius of a sphere with a volume of 41572 cm³ is,

⇒ 21.4 cm

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, To find the radius of a sphere with a volume of 41572 cm³, we can use the formula for the volume of a sphere as;

⇒ V = (4/3)πr³

where V is the volume and r is the radius.

Hence, We can rearrange this formula to solve for r:

⇒ r = ∛ (3V/4π)

Substituting the given volume, we have:

r = ∛ (3(41572)/4π)

r ≈ 21.4 cm

Therefore, the radius of the sphere to the nearest tenth of a centimeter is 21.4 cm.

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Answer:

C 2

Step-by-step explanation:

This is a parabolic function

Notice how we go negative and then positive

y = ax^2 +bx+c

Let x = 0

-5 = a(0) + b(0) +c

c = -5

y = ax^2 + bx -5

Let x = 3

4 = a(3)^2 +b(3) -5

Let x=-3

4 = a(3)^2 -b(3) -5

Add the two equations

4 = a(3)^2 +b(3) -5

4 = a(3)^2 -b(3) -5

----------------------------

8 = 2a (3)^2 - 10

18 = 2 a(9)

18 = 18a

a =1

Solving for b

4 = 1(3)^2 -b(3) -5

4 = 9 -3b -5

4 = 4 -3b

0 = -3b

0 =b

The equation is

y = (x)^2  -5

Letting y = -1

-1 =x^2 -5

Adding 5 to each side

4 = x^2

Taking the square root of each side

±2 = x

x= ±2

Given the choices

Answer:

Your answer for the above equation is D

As per linear equation, the average of the student is 82.2.

The mean is 83.75.

A linear equation is an equation that contains one or multiple variable with the highest power of the variable is one.

The student got test average of 80, his quiz average of 72, homework of 90, and classwork of 93.

Test is worth of 30%.

Therefore, the weightage of test is

= 80 × 30%

= 24

Quiz is worth of 30%.

Therefore, the weightage of quiz is

= 72 × 30%

= 21.6

Homework is worth of 20%.

Therefore, the weightage of homework is

= 90 × 20%

= 18

Classwork is worth of 20%.

Therefore, the weightage of classwork is

= 93 × 20%

= 18.6

Therefore, the average of the student is

= (24 + 21.6 + 18 + 18.6)

= 82.2

Now, the mean is

= (80 + 72 + 90 + 93)/4

= 83.75

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what's the question ? is there something you don't understand

Answer:

23.92°, 78.503°, and 77.577°

Step-by-step explanation:

The coordinates of the vertices of the triangle are;

X(-3, -5), Y(2, 6), Z(6, 3)

The vectors are;

z = [tex]\left \langle 2 - (-3), 6 - (-5) \right \rangle[/tex] = [tex]\left \langle 5, 11 \right \rangle[/tex]

y = [tex]\left \langle 6 - (-3), 3 - (-5) \right \rangle[/tex] = [tex]\left \langle 9, 8 \right \rangle[/tex]

x = [tex]\left \langle 2 - 6, 6 - 3 \right \rangle[/tex] = [tex]\left \langle -4, 3 \right \rangle[/tex]

[tex]cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}[/tex]

Therefore, we get;

[tex]cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409[/tex]

α = arccos(0.91490) ≈ 23.92°

γ = The angle between -y and x

-y = [tex]\left \langle -9, -8 \right \rangle[/tex]

We get;

[tex]cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}[/tex]

Therefore;

[tex]cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309[/tex]

γ = arccos(0.199309) ≈ 78.503°

γ ≈ 78.503°

By angle sum property, β = 180° - (α + β)

β ≈ 180° - (23.92° + 78.503°) = 77.577°

β ≈ 77.577°

The interior angles are;

23.92°, 78.503°, and 77.577°

The solutions to the equations are:

x = 21,

x = 7,

4 * 7 = 28,

3³ - 2³ = 19, and 30 - 2 = 28.

We have,

x + 7 = 28

To solve for x, we can subtract 7 from both sides of the equation:

x + 7 - 7 = 28 - 7

x = 21

So, the solution to the equation x + 7 = 28 is x = 21.

2x + 14 = 28

To solve for x, we can subtract 14 from both sides of the equation:

2x + 14 - 14 = 28 - 14

2x = 14

Next, we divide both sides of the equation by 2 to isolate x:

2x/2 = 14/2

x = 7

Therefore, the solution to the equation 2x + 14 = 28 is x = 7.

4 * 7 = 28

This equation is already solved.

The product of 4 and 7 is 28.

So, the equation 4 * 7 = 28 is true.

3³ - 2³ = 28

To solve this equation, we need to evaluate the exponentials:

3³ - 2³ = 27 - 8 = 19

Therefore, the equation 3³ - 2³ = 28 is not true; the correct value is 19.

30 - 2 = 28

This equation is already solved.

The difference between 30 and 2 is indeed 28.

So, the equation 30 - 2 = 28 is true.

Thus,

The solutions to the equations are:

x = 21,

x = 7,

4 * 7 = 28,

3³ - 2³ = 19, and 30 - 2 = 28.

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The complete question:

x + 7 = 28

2x + 14 = 28

4 * 7 = 28

3^3 - 2^3 = 28

30 - 2 = 28

Answer:

25 feet per min

Step-by-step explanation:

90-15=75

75/3=25

25f/min

Answer:

2805

Step-by-step explanation:

Each arrangement contains 14 calla lilies, 7 sunflowers, 6 orchids, 84 roses, 12 tulips, 9 geraniums, and 33 lilacs. If there are 17 classrooms in the school, how many flowers will they have to buy in total?

This is calculated as:

17 ( 14 calla lilies+ 7 sunflowers + 6 orchids + 84 roses + 12 tulips + 9 geraniums + 33 lilacs)

= 17 × ( 165 flowers)

= 2805 flower

Answer:

b

Step-by-step explanation:

no clue just copied someone else tehehe

Answer:

30 dólares es la ganancia neta.

Step-by-step explanation:

En la primera transacción, el hombre está perdiendo 50 dólares:

1. -50 dólares

En la segunda transacción, el hombre gana 70 dólares:

2. -50 + 70 = +20 dólares

En la tercera transacción pierde 80 dólares:

3. 20 - 80 dólares = -60 dólares

Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:

4. -60 dólares + 90 dólares =

Answer:

C C C C C IF ITS WRONG DONT BLAME ME FOR RUINING YOUR LIFE

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

Answer:

Step-by-step explanation:

1)3/5

2)0.4

3)0.04

4)94/100 or 47/50

5)1-(0.4+0.35)=0.25->probality of taking a blue ball

0.35+0.25=0.6->probality of taking blue/red ball

6)a)0.01+0.03=0.04

b)1-0.01=0.99

7)a)0.5 b)0.3

8) a-i)0.3+0.25+0.2+0.2+0.1=1.05 probality should be <1

ii)0.05

b)0.45

ii)0.75

iii)0.2

Answer:

a = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = a

b = 9

c = 15

Step 2: Solve for a