What is the rule for the transformation below?

Answer:

[tex]\boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

The difference of two cubes formula is given as:

[tex]a^3-b^3 =(a-b)(a^2 +ab+b^2)[/tex]

Step-by-step explanation:

[tex] {(a - b)}^{3} = {(a - b)}^{2} (a - b)[/tex]

[tex] {a}^{3} - 3{a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{2} (a - b)[/tex]

[tex] {a}^{3} - {b}^{3} + 3ab(a - b)= {(a - b)}^{2} (a - b)[/tex]

[tex] {a}^{3} - {b}^{3}= {(a - b)}^{2} (a - b) + 3ab(a - b)[/tex]

[tex] {a}^{3} - {b}^{3} = (a - b)(( {a}^{2} - 2ab + {b}^{2} ) - 3ab)[/tex]

[tex] {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]

3920|2

1960|2

980|2

490|2

245|5

49|7

7|7

1

[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]

It's 5

Answer:

Solution : Degree 4

Step-by-step explanation:

We only have one variable in this case, x. Therefore we can take the degree of this variable to be our solution, 4. As you can see x^4 will have a degree of 4, as that is the exponent present.

D is your answer please like this answer

Answer:

c

Step-by-step explanation:

x³ - y³ ← is a difference of cubes and factors as

x³ - y³ = (x - y)(x² + xy + y²)

Given

[tex]\frac{x}{y}[/tex] + [tex]\frac{y}{x}[/tex] = - 1

Multiply through by xy to clear the fractions

x² + y² = - xy ← substitute into second factor of expansion

x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c

Answer:

The answer is C. 0

Step-by-step explanation:

since

[tex] \frac{x}{y} + \frac{y}{x } = - 1[/tex]

we multiply both sides by xy to cancel their denominators and multiply -1 by xy

so we have

[tex]xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1[/tex]

we get our answer as

[tex] {x}^{2} + {y}^{2} = - xy[/tex]

we were given the difference of cubes that is

[tex] {x}^{3} - {y}^{3} [/tex]

which is =

[tex](x - y)( {x}^{2} + xy + {y}^{2} )[/tex]

so since,

[tex] {x}^{2} + {y}^{2} = - xy[/tex]

we substitute,

[tex](x - y)( - xy + xy) = (x - y)(0) = 0[/tex]

Answer:

Option (C) : y = 6 / 11

Step-by-step explanation:

To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.

Since, the degrees of the numerator and denominator are the same,

Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator

Therefore,

Horizontal Asymptote = 6 / 11

Answer:

(-11,-7)

Step-by-step explanation:

 U           V

(-8,5) + (-3,-12)

(-8 - 3) , (5 - 12)

-11 , -7

(-11,7)

Answer:

(-11,-7)

Step-by-step explanation:

u =  (-8, 5)

v =  (-3, -12)

u+v = ( -8+-3, 5+-12)

      = (-11,-7)

Answer:

its false

Step-by-step explanation:

Answer:

The answer is false

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

As given in the figure:

[tex]AC \perp CE\\

\therefore m\angle ACE = 90\degree \\ [/tex]

Answer:

[tex]6b[/tex]

Step-by-step explanation:

We know that the distance formula is [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]. We already have the x values, which are [tex]5a[/tex] and [tex]-a[/tex], subtracting [tex]-a[/tex] from 5a gets us [tex]6a[/tex].

Same concept for the y values, let's subtract the first y value from the second.

The second y value is [tex]b[/tex], while the first is [tex]-5b[/tex]

[tex]b - (-5b) = b + 5b = 6b[/tex]

Hope this helped!

Answer:

6b is your answer!

Step-by-step explanation:

I wish ALL ACELLUS USERS LUCK

Answer:

The approximate percentage of women with platelet counts within 3 standard deviations of the​ mean is 99.7%.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.

Let X = the blood platelet counts of a group of women

The z-score probability distribution for the normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 247.3

           [tex]\sigma[/tex] = standard deviation = 60.7

Now, according to the empirical rule;

Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 65.2 and 429.4, i.e;

         z-score for 65.2 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                     =  [tex]\frac{65.2-247.3}{60.7}[/tex]  = -3

         z-score for 429.4 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                       =  [tex]\frac{429.4-247.3}{60.7}[/tex]  = 3

So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean is 99.7%.

Answer:

[tex] 6\sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{12}\sqrt{18} = [/tex]

[tex] = \sqrt{12 \cdot 18} [/tex]

[tex] = \sqrt{4 \cdot 3 \cdot 9 \cdot 2} [/tex]

[tex] = \sqrt{36 \cdot 6} [/tex]

[tex] = \sqrt{36}\sqrt{6} [/tex]

[tex] = 6\sqrt{6} [/tex]

Following are the step by step solutions to the given expression:

Given:

[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]

To find:

solve=?

Solution:

[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]

[tex]\to \sqrt{2\times 2 \times 3} \times \sqrt{2\times 3 \times 3} \sqrt{2 \times 3 \times 5} \\\\ [/tex]

[tex]\to 2\sqrt{3} \times 3\sqrt{2} \sqrt{2 \times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \sqrt{2\times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \times \sqrt{2}\times \sqrt{3} \times \sqrt{5} \\\\ \to 6 \times 3 \times 2 \times \sqrt{5} \\\\ \to 36 \sqrt{5}[/tex]

Therefore, the final answer is "[tex]36\sqrt{5}[/tex]"

Learn more:

brainly.com/question/24050871

Answer:

-1*5*7*11*y

Step-by-step explanation:

This is the prime factorization of 385y times -1.

Answer:

12e-6f-8 is the answer

Step-by-step explanation:

did work on peice of paper

Answer:

12e - 6f - 8

Step-by-step explanation:

By using the distributive property,, the answer is

(6e x 2) - (3f x 2) - (4 x 2)

12e - 6f - 8

Answer:

181.8yd

Step-by-step explanation:

Answer:

$52,500

Step-by-step explanation:

1050/0.0200=52500

Answer:

B. 52,500

Step-by-step explanation:

Answer:

Minimum People required = 5

Step-by-step explanation:

Total hours required to complete the work every week = 150 hrs.

Number of hours worked per week by one person = 32 hr

∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person

∴ Number of people = 150 ÷ 32

∴ Number of people = 4.6875

This is the minimum number of people. But no of people cannot be a fraction.

Thus, rounding the number to next integer.

∴ Smallest number of people needed to complete the work = 5

Answer:

y = 0.732

Step-by-step explanation:

log3²(5) = y

(1/2) × log3(5) = y

y = (1/2) × log3(5)

y = 0.732487

y = 0.732 ( 3 sig.fig )

Answer:

d

b

a

c

Step-by-step explanation:

degree 1 -  5x+5  -  d.

degree 2-    3x^2-2x+4-  b.

degree  3 -  1/2x^3+8x^2-3-    a.

degree 4 -  x^4+(x+4)^2- c

Answer:

Step-by-step explanation:

This problem is on the mensuration of solids.

A sphere is a solid shape.

Given data

radius of sphere = 17 units

The volume of a sphere can be expressed as below

[tex]volume = \frac{4}{3}\pi r^3[/tex]

Substituting our data into the expression we have

[tex]volume = \frac{4}{3}*3.142*17^3[/tex]

[tex]volume = \frac{4}{3}*3.142*4913\\\\volume = \frac{61746.584}{3}= 20582.195[/tex]

The volume of the sphere is given as

20582.195 units

Answer:

Step-by-step explanation:

[tex]3x+4\geq13\\\\3x\geq9\\\\x\geq3\\\\A=\big<3\,,\ \infty)[/tex]                         [tex]\frac12x+3\leq4\\\\\frac12x\leq1\\\\x\leq2\\\\B=(-\infty\,,\ 2\big>[/tex]

[tex]A\cup B\not=\varnothing\quad for\ all\ x\in(-\infty\,, 2\big>\cup\big<3\,,\ \infty)[/tex]

so:

     [tex]A\cup B=\varnothing\quad for\ x\in(\,2\,,\ 3\,)[/tex]

Answer:hi, the answer would be (a) or 2<x<3 hope this helps :)

Step-by-step explanation: i just took the test got em all correct

Complete question:

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill

The solution x=60 represents the total food bill

Step-by-step explanation:

Given the following :

Total amount spent = $76

Amount paid as tip = $16

Number of friends = 8

Total Cost of lunch consists of:

Actual Cost of food + amount of tip

Let actual cost of food = x

Total cost of lunch is thus :

x + $16 = $76

If the friends are to each the bill equally:

Then:

Divide both sides by 8:

(1/8)* (x + 16) = 76/8

Therefore,

(x + 16) / 8 = 76/8

x + 16 = 76 / 8

(x + 16)/8 = 9.5

x + 16 = 9.5 * 8

x + 16 = 76

x = 76 - 16

x = 60

Answer:

A

and

C

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything real number (except 0) to the zeroth power would be 1.

Therefore, 12 to the zeroth power would also be 1.

[tex]12^0=1[/tex]

Answer:

As you know everynumber raised to 0 is always 1 even if its x or infinity so the answer will be 12^0 will be 1

Step-by-step explanation:

any and every number raised to 0 is 1

Answer:

23

Step-by-step explanation:

6x + 11 + 7x + 143 = 180

13x + 154 = 180

13x = 26

x = 2

m<RPS = 6(2) + 11 = 23

Answer:

D. 40

Step-by-step explanation:

Interquartile range is the difference between the upper quartile value (Q3) and the lower quartile value (Q1).

In a box plot, Q1 is located at the beginning of the edge of the rectangular box from our left, while the Q3 is located at the end of the edge of the rectangular box to our right.

Interquartile range for City A = 70 - 40 = 30

Interquartile range for City B = 80 - 40

Therefore, city B has greater variability. The interquartile range is 40.

Answer:

Z=101

Step-by-step explanation:

A=2

B=3

C=5

D=7

E=11

F=13

From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.

Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.

Therefore,

G=17

H=19

I=23

J=29

K=31

L=37

M=41

N=43

O=47

P=53

Q=59

R=61

S=67

T=71

U=73

V=79

W=83

X=89

Y=97

Z=101

Answer:

Exact Form: -5/2, -79/15            Decimal form: -2.5, -5.26      mixed number form: -2 1/2,   -5 4/15

Answer:

-7  9/10

Step-by-step explanation:

First, I converted the mixed numbers into improper fractions, which left me with 25/10 plus 79/15. I had to find common denominators for the both of them, and I ended up with 30. 10 goes into 30 3 times, and 3 times 25 is 75. 15 goes into 30 two times, and 2 times 79 is 158. That left me with 75/30 plus 158/30 and my first answer was 237/30. I then had to convert that improper fraction into a mixed number. 237 divided by 30 is 7 with a remainder of 27. My next answer to this problem was

7  9/10. A negative plus a negative equals a negative number, so the final answer is -7  9/10.

intercept is the length from origin to intersection point of respective axis,

it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)

and similarly, y intercept is (0,5.5)

Answer:

(- 7.5, 0 ) and (0, 5.5 )

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept

(- 7.5, 0 )

The y- intercept is the value of y on the y- axis where the line crosses.

Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept

(0, 5.5 )

Answer:

x = -0.4

x = -(2/5)

Answer:

x = ± √5

Step-by-step explanation:

Please indicate exponentiation by using the symbol " ^ ":

5x^2 + 25x = 0

Divide all three terms by 5.  We get:

x^2 + 5 = 0, or x^2 = -5

Then x = ± √5

Answer:x=45

Step-by-step explanation: