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antiseptic1488 [7]
3 years ago
5

Expand x^3 minus y^3

Mathematics
2 answers:
Radda [10]3 years ago
8 0

(x³ - y³) =

= (x - y)(x² + xy + y²)

Lubov Fominskaja [6]3 years ago
3 0

Answer:

x^{2} - y^{2}

(x-y)(x^{2} + xy + y^{2})

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You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your
pochemuha
 <span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1] 

where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan. 

We require B(n) = 0...i.e. balance of 0 after n months. 

so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1] 

Then, with some algebraic juggling we get: 

n = -[log(1 - (Ai/P)]/log(1 + i) 

Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43 

Also, i = (13.6/100)/12 => 0.136/12 per month 

i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12) 

so, n = 4.15 months...i.e. 4 payments + remainder 

b) Now we have A = $754.43 - $300 = $454.43 so, 

n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12) 

so, n = 1.54 months...i.e. 1 payment + remainder 
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8 0
3 years ago
9. What coordinates will a point (x, y) reflected over the x-axis have?
Charra [1.4K]
The answer to your question is c
7 0
3 years ago
Answer the following questions. Make sure to show all your work.
KengaRu [80]

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

b) since  the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

f(x)  = 2x + 1

f(-0.8) = 2(-0.8) + 1

f(-0.8) = -1.6  + 1

f(-0.8) = -0.6

Simiarly;

y = -3(-0.8)- 3

y = 2.4 - 3

y = -0.6

Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

For the point (1/3, 2), substitute x = 1/3 into both functions as shown:

x = (y+2)/2

x = (2+2)/2

x = 4/2

x = 2

Simiarly;

x + 2 = 3

x = 3-2

x = 1

Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equations

Learn more on systems of equation here: brainly.com/question/847634

5 0
2 years ago
(CORRECT ANSWER GETS BRAINLIEST) Drag each object to show whether distance is proportional to time in the situation represented.
natka813 [3]

Answer:

a horse running around a race track and

a person running down a field to score a touchdown

DONT HAVE ENOUGH INFORMATION

the two graphs are proportional to time and

a dog jumping at a constant speed for 20min and

a truck passing through 4 cities at a constant speed are not proportional to time because they are constant

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
To get a free meal at his favorite restaurant,Tom needs to spend 50$ or more at the restaurant. He has already spent 30.25$. How
andrey2020 [161]
So for Tom to get his free meal he needs to spend 50 dollars.

This means the following⬇️

50 - 30.25
This equation is the 50 dollars he has to spend minus the 30.25 he has already spent which results in⬇️
= 19.75
This results in Tom needing to still spend 19.75 more dollars to get his free meal!!

Hope this helped!!
4 0
2 years ago
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