Prove the Difference of Two Cubes Identity
Explain how you can prove the difference of two
cubes identity
2-12 = (a - b)(a + ab +62

Answer:

-69.91 to 2 d.p

Step-by-step explanation:

i think i am not sure

Answer:

B. -3

Step-by-step explanation:

f(x) = 3x - 15

f(4) means x=4, so you want to plug 4 into the equation.

f(4) = 3(4) - 15

f(4) = 12 - 15

f(4) = -3

Answer:

B

Step-by-step explanation:

f(4) has the same meaning (for this question ) as x = 4

Let x = 4

f(4) = 3*4 - 15

f(4) = 12 - 15

f(4) = - 3

B

Step-by-step explanation:

Answer:

1:     =[tex]\frac{-1}{6}[/tex]    

2:    =[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

This is the answers I hope are great

Answer: Choice B

Pick any row to find that y/x is equal to 1/4

For example, in the second row we can immediately see that y/x = 1/4 since x = 4 and y = 1 pair up together. The other two rows involve a bit more work, but you should find the result simplifies to 1/4 as well.

Answer:

2 and 1

Step-by-step explanation:

2 + 1 = 3

2 - 1 = 1

[tex]x = v + 5[/tex]

[tex]x - 5 = v + 5 - 5[/tex]

[tex]x - 5 = v[/tex]

[tex]v = x - 5[/tex]

x = 239

y = 146

Step-by-step explanation:

Let two numbers be x and y

x + y = 385. ------------equation (1)

x - y = 93. ------------equation (2)

from (1) and (2)

x = 239 and y = 146

Answer:

370.85

Step-by-step explanation:

Answer:

-6x^3y^-3

Step-by-step explanation:

6x-12x=-6x

5-2=3

y=y

-1-2=-3

-6x^3y^-3

Answer:

You are correct!! The table does show that she makes 25 dollars in 1 hour.

Am i suppose to answer it because you already said the answer is A. Well, You're right.

And Thank you!

Answer:

6.966

Step-by-step explanation:

•Mark how many you have in the d.p

•If there is two or more add them up

•Multiply like normal given numbers

•Write where the decimal point is to be

Hope that helps

The answer you are looking for is 6.966. You multiply the numbers as normal, the place the decimal based off of how many numbers are behind the 2 decimal points given. 1.29 has 2 numbers behind the decimal, and 5.4 has 1. 1 + 2 = 3, so from the right of the last number on the right side, you move the decimal 3 places.

Here's an image to show you how I solved the problem.

I hope this helps!!

Answer:

$16.00

Step-by-step explanation:

19.99 x .75 = 14.9925

14.9925 x 1.06 = 17.89205

Answer:

Step-by-step explanation:

There is a missing operator in the second equation.

If the equation is 4x - 8y = 4, then the system is dependent. The second equation is a non-zero multiple of the first.

the answer would be 100

Step-by-step explanation:

55+45=100 because all yout have to do is add angle A and angle B together

Answer:

The rate of the current is 2 mph.

Step-by-step explanation:

When the boat travels upstream we have:

[tex] v_{T_{1}} = v_{b} - v_{c} [/tex]                      

[tex] \frac{x_{1}}{t_{1}} = v_{b} - v_{c} [/tex]    

Where:

[tex] v_{T}[/tex]: is the total speed

[tex]v_{b}[/tex]: is the speed of the boat = 10 mph

[tex]v_{c}[/tex]: is the speed of the current

x: is the distance

t: is the time

And when the boat travel downstream we have:

[tex]v_{T_{2}} = v_{b} + v_{c}[/tex]        

[tex] \frac{x_{2}}{t_{2}} = v_{b} + v_{c} [/tex]                              

Since the boat takes 4 hours longer to travel 48 miles going upstream than it does to travel 24 miles going downstream we have:

[tex] \frac{x_{1}}{t + 4} = v_{b} - v_{c} [/tex]   (1)

[tex] \frac{x_{2}}{t} = v_{b} + v_{c} [/tex]   (2)

By adding equation (1) with (2):

[tex] \frac{x_{1}}{t + 4} + \frac{x_{2}}{t} = 2v_{b} [/tex]

[tex] tx_{1} + (t+4)x_{2} - 2v_{b}t(t+4) = 0 [/tex]

[tex] 48t + 24(t+4) - 2*10t(t+4) = 0 [/tex]

By solving the above equation for t we have:

t = 2 h      

Now, by entering "t" into equation (2) we have:

[tex] \frac{24 miles}{2 h} = 10 mph + v_{c} [/tex]  

[tex] v_{c} = 2 mph [/tex]

Therefore, the rate of the current is 2 mph.

I hope it helps you!  

Answer:

2

Step-by-step explanation:

im not sure is this is correct but I put

21÷6=3.5

7÷3.5=2

Answer:

y = 4x + 12

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

since you're given the values for m and b, all you need to do is plug those into the equation for slope-intercept form.

plug in 4 for m.

y = mx + b ⇒ y = 4x + b

plug in 12 for b.

y = 4x + b ⇒ y = 4x + 12

it doesn't matter which one you plug in first as long as you plug the value in for the correct variable.

the equation of your line in slope-intercept form is y = 4x + 12. i hope this helps! have a great day <3

Answer:

10

Step-by-step explanation:

10-10=0

Answer:

the answer is -15

Step-by-step explanation:

Answer:

60x + 30 = y | Honestly not sure if it's right but I wanted to help anyways!

Step-by-step explanation:

Answer:

[tex]y=\frac{5+8x}{10} , x=x[/tex]

Step-by-step explanation:

y-0.8x=0.5

y*10-0.8x*10=0.5*10

10y-8x=5

10y-8x+8x=5+8x

10y/10=5/10+8x/10

y=5+8x/10

5*5+8x/10-2.5

8x+5/2-2.5=4x

y=5+8x/10, x=x

Given:

[tex]f(x)=2x[/tex]

[tex]g(x)=f(x)+4[/tex]

To find:

The y-intercept of g(x).

Solution:

We have,

[tex]g(x)=f(x)+4[/tex]

Putting [tex]f(x)=2x[/tex], we get

[tex]g(x)=2x+4[/tex]

Substitute x=0 to find the y-intercept of g(x).

[tex]g(0)=2(0)+4[/tex]

[tex]g(0)=0+4[/tex]

[tex]g(0)=4[/tex]

Therefore, the y-intercept of g(x) is at point (0,4). So, the y-intercept of g(x) is 4.

Answer:

step 1. (g(12) - g(8))/12 - 8

step 2. (12(4)^(12 - 8) - 12(4)^(8 - 8))/4

step 3. 12(256) - 12)/4

step 4. 765.

Answer:

a)  x=24/k

b)  x=24/3

    x=8

Step-by-step explanation:

Quotient meant division and you are trying to find the quotient (x) so you divide 24 by 3 to get 8

Answer:

C. 13 unit

Step-by-step explanation:

I got right

Answer:

45 maybe

Step-by-step explanation:

it is a right angle . just divide by 2