Factorise: (Using Algebraic Identities)
64x^3-(4x-3y)^3

Hey there! I'm happy to help!

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

QUESTION 18

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]

So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].

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

QUESTION 14

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]

We subtract [tex]\frac{x^2}{25}[/tex] from both sides.

[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]

We multiply both sides by 16.

[tex]y^2=1-\frac{x^2}{25}*16[/tex]

We square root both sides.

[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]

And we take out 1/5 (which is the square root of 1/25).

y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]

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

QUESTION 17

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

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

QUESTION 16

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

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

QUESTION 12

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

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

Have a wonderful day and keep on learning! :D

Answer:

[13, 15, 17, 16, 12]

[16, 12, 17, 13, 15]

[16, 15, 14, 13, 12]

[17, 13, 15, 12, 14]

Step-by-step explanation:

Writing a Python code, I got the answers given, reading from left to right to down. For example, for [13, 15, 17, 16, 12], 13 is the top left circle, 15 is the middle right, 17 is the far right, 16 is the bottom left, and 12 is the bottom right

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

Answer:

$94

Step-by-step explanation:

To find out how much she has after 5 weeks we need to use how much she has at 1 week. We know she starts the month with $54 and adds $8 at the end of a week. Knowing this we can multiply her amount for 1 week by 5 weeks (8x5), this gets us to $40, but since she started the week with 54 we need to add that to her 5 week's total (54+40), so we get a total of $94 after 5 weeks.

The total amount in Johanna's account after 5 weeks will be $94 if Johanna starts the month with $54 in her savings account at the end of each week, Johanna adds $8 to the account.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Johanna starts the month with $54 in her savings account.

At the end of each week, Johanna adds $8 to the account.

Let x be the total amount in Johanna's account after 5 weeks.

The linear equation in one variable can be framed as:

x = 54 + 8×5

x = 54 + 40

x = $94

Thus, the total amount in Johanna's account after 5 weeks will be $94 if Johanna starts the month with $54 in her savings account at the end of each week, Johanna adds $8 to the account.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]105 \div 21[/tex]

[tex] = 5[/tex]

Answer:

1078 minutes

Step-by-step explanation:

18 + 0.05x = 71.90

0.05x = 71.90 - 18

0.05x = 53.9

x = 53.9/0.05

x = 1078 minutes

The minimum number of minutes is 1078 minutes.

To find the minimum number of minutes she has used on her phone in a month.

The branch of mathematics dealing with the properties and manipulation of numbers.

Given that :

Halima pays a monthly fee of 18 AED and she pays an additional 5 files per minute of use. The least she has been charged in a month is 71.90 AED.

so, that

18 + 0.05x = 71.90

0.05x = 71.90 - 18

0.05x = 53.9

x = 53.9/0.05

x = 1078 minutes

So, the minimum number of minutes is 1078 minutes.

Learn more about arithmetic here:

https://brainly.com/question/24394764

#SPJ2

Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

64

........................

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

5 less than the difference of a number f and 35 is f - 40

The expression can be represented mathematically as follows:

The difference of a number f and 35 can be represented as follows:

5 less than the difference of a number f and 35 can be represented as follows:

read more: https://brainly.com/question/24383693?referrer=searchResults

Answer:

–6.8

Method:

Counting backwards from –7 to –6.5

Answer:

-6.8

Step-by-step explanation:

it is 3 units from -6.5 so you can even add them

-6.5 + 3

= -6.8

Answer:

Step-by-step explanation:

Trinomial

Answer:

A) 27

Step-by-step explanation:

[tex] \frac{16}{16 + 12} = \frac{63 - ?}{63} [/tex]

➡️ [tex] \frac{4}{7} = \frac{63-? }{63}[/tex]

➡️ [tex]63 - ? = 36[/tex]

➡️ [tex]? = 27[/tex]

Answer:

[tex]y = - 5[/tex]

Step-by-step explanation:

[tex] - 5(y - 3) - 10 = - 6y[/tex]

➡️ [tex] - 5y + 15 - 10 = - 6y[/tex]

➡️ [tex] - 5y + 5 = - 6y[/tex]

➡️ [tex] - 5y + 6y = - 5[/tex]

➡️ [tex]y = - 5[/tex]

Answer:

Estimate: about 20000000 people

Exact: 288368000-83822000 = 204546000 people

AB = AD [Given]

BC = CD [Given]

AC = AC [Same line segment]

So, ΔABC ≅ ΔADC [By SSS congruence criteria]

So, ∠ABC = ∠ADC [CPCT (Corresponding parts of congruent triangles)]

Hence, proved.

Answer:

I hope it will help U.

Answer:

Step-by-step explanation:

[tex]9.25=\frac{925}{100} \\592 \div9.25=592 \div \frac{925}{100} =\frac{59200}{925}[/tex]

Answer:

the answer is two B btw brainly just has bots

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

The entire equation needs to cancel out and for q to cancel out, n needs to be 3.

Answer:

Step-by-step explanation:

h = 20 + 1.7 + 50 = 71.7 m

Dropping the object from a height is an illustration of an object in free fall. The object should be dropped at 2304 feet above the sea level.

Given that:

[tex]t = \frac 14 \sqrt h[/tex]

The height is calculated as follows:

[tex]t = \frac 14 \sqrt h[/tex]

Multiply both sides by 4

[tex]4t = \sqrt h[/tex]

Square both sides

[tex]16t^2 = h[/tex]

Rewrite as:

[tex]h = 16t^2[/tex]

The object reaches the ground in 12 seconds.

So: [tex]t = 12[/tex]

This gives:

[tex]h = 16 \times 12^2[/tex]

[tex]h = 2304[/tex]

Hence, the object should be dropped at 2304 feet above the sea level.

Read more about free falls at:

https://brainly.com/question/10579318

Answer:

Coplanar points are the points on the same plane.

1.

Additional points on the same plane as D, A and B are:

2.

Additional points on the same plane as C, G and F are:

Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

Hi ;-)

[tex]x=(180^o-70^o):2=110^o:2=\boxed{55^o}\\\\y=180^o-55^o=\boxed{125^o}[/tex]

Step-by-step explanation:

0x<3

x>3/0

x>∞

x is undefined.

Answer:

Students:Adults = 118:94

Step-by-step explanation:

212-118=94

the answer is in picture

Answer:

Step-by-step explanation:

Answer:

length = 13 inches

Step-by-step explanation:

let the length be x

hence, the width = x-9

perimeter = 2(x+x-9) = 34

2(2x-9) = 34

4x- 18 = 34

4x = 52

x = 13