Please someone help i'm struggling with this work!

Answer:

[tex] {8x}^{3} + 27 \\ = {8x}^{3} + {3}^{3} \\ let : 8x \: be \: a \\ : 3 \: be \: b \\ = > {a}^{3} + {b}^{3} : \\ {(a + b)}^{3} = (a + b)( {a}^{2} + 2ab + {b}^{2} ) \\ {(a + b)}^{3} = ( {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ ( {a}^{3} + {b}^{3} ) = {(a + b)}^{3} - 3ab(a + b) \\ \therefore( {8x}^{3} + 27) = {(8x + 3)}^{3} - 72(8x + 3)[/tex]

The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)

Answer:

This question is incomplete, so I can not give you an exact answer, but I can give you the answer for the general case.

If we have a function f(x), the average rate of change between the values:

x = a and x = b,

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

So if we want to find the rate of change from:

x = -1 to x = 1

it is just:

[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{f(1) - f(-1)}{2}[/tex]

So just to show an example, if:

f(x) = 3*x^2 - 5

the average rate of change in that interval will be:

[tex]r = \frac{f(1) - f(-1)}{2} = \frac{3*1^2 - 5 - (3*(-1)^2 - 5)}{2} = \frac{-2 - (-2)}{2} = 0[/tex]

Answer:

It will take Molly 1 hour to catch up to Jonas.

Step-by-step explanation:

Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:

Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes

Molly = 12 miles for 60 minutes

Jonas = 3 miles + 9 = 12

Molly = 12

Therefore, it will take Molly 1 hour to catch up to Jonas.

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

Answer:

7.5 cm

Step-by-step explanation:

A rod 123.75 cm long is sawn into 16 equal lengths.

The length of each rod is calculated as:

123.75cm/16 =

= 7.734375cm

If a wastage takes place of ¼ cm for each saw cut,

The length of each piece is calculated as:

7.734375cm - 1/4 cm

7.734375cm − 0.25 cm

7.484375cm

Approximately = 7.5 cm

Therefore, the length of each piece = 7.5 cm

Answer:

looks like C is best guess

Answer:

below

Step-by-step explanation:

that is the procedure above

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

Answer:

b=112°

Step-by-step explanation:

two complementary angles

b=180°-68°=112°

sum of 2 angles is

x= 35°+25°=60°

Answer:

3. b=112

4. x = 60

Step-by-step explanation:

3.

b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.

4.

35+25 = 60, therefore x = 60.

Answer: 22 pints of water

Step-by-step explanation:

Runelle collected river water and poured in eight jars such that each jar had 2³/₄ of water.

The total amount of water collected by Runelle from the river will therefore be the sum of all the water in the 8 jars and because they are the same, we can simply multiply the quantity in one jar by 8 to see the sum:

= Amount of water in one jar * 8 jars

= 2³/₄  * 8

= 11/4 * 8

= 22 pints of water

Answer: Value of x is, 8

Step-by-step explanation:  

Given:   ,.....[1]

To find the value of x:

Using exponent rules:

Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by  we get;

Simplify:

or

Simplify:

x = 8

Therefore, the value of x is, 8

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3

Answer:20

Billions

Step-by-step explanation:

Answer:

Kjxiycdafgousdgkuafveligfasa

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Answer:

-5 ≠ 23

Step-by-step explanation:

5(3−4)=8+15

5(-1) = 8 + 15

-5 = 23

-5 ≠ 23

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

Answer:

125x³+240xy²+64y³ +300yx²

Step-by-step explanation:

Row of pascals triangle to use is 1 3 3 1

For binomial expansion, use a³ +3a²b+3ab²+b³

Answer:

B and D

Step-by-step explanation:

Multiplying exponents just adds them.

Answer:

B + D

Step-by-step explanation:

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Answer:

29,800

Step-by-step explanation:

that will be 149 x 2 which equals 298

149

 ×2         Multiply 9 × 2 = 18

------        Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1

298

Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)

Final answer: 29800

Answer:

1,184 sq cm

Step-by-step explanation:

Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12

                    = 1,184 sq cm

Hope this helps!