Answer:
Step-by-step explanation:
2:3 And. 6:9
3:4 And 9:12
8:5 and 16:10
1:2. And 3:6
Notation
I imagine that the expression you are asked to work with is:

When you use a keyboard it is customary to use "^" to denote an exponent is coming so you could have written: 3x^3y+15xy-9x^2y-45y just to be clear.
PART A
To factor out the GCF we are looking for the greatest factor among the terms. Looking at the coefficients (the numbers) the largest number they can all be divided by is 3 so we will pull out a 3. Notice also that each term has a y in it so we can pull out that.
This gives us:

To factor is to write as a product (something times something else). It undoes multiplication so in this case if you take what we got and multiplied it back you should get the expression we started with.
PART B
Start with the answer in part A. Namely,

. For now let's focus only on what is in the parenthesis. We have four terms so let's take them two at a time. I am separating the expression in two using square brackets.
![[( x^{3}+5x)]-[3 x^{2} -15]](https://tex.z-dn.net/?f=%5B%28%20x%5E%7B3%7D%2B5x%29%5D-%5B3%20x%5E%7B2%7D%20-15%5D)
Let's next factor what is in each bracket:
![[( x^{3}+5x)]-[3 x^{2} -15] = [x( x^{2} +5)]-[3( x^{2} +5)]](https://tex.z-dn.net/?f=%5B%28%20x%5E%7B3%7D%2B5x%29%5D-%5B3%20x%5E%7B2%7D%20-15%5D%20%3D%20%5Bx%28%20x%5E%7B2%7D%20%2B5%29%5D-%5B3%28%20x%5E%7B2%7D%20%2B5%29%5D)
Notice that both brackets have the same expression in them so now we factor that out:
![[x( x^{2} +5)]-[3( x^{2} +5)] = (x-3)( x^{2} +5)](https://tex.z-dn.net/?f=%20%5Bx%28%20x%5E%7B2%7D%20%2B5%29%5D-%5B3%28%20x%5E%7B2%7D%20%2B5%29%5D%20%3D%20%28x-3%29%28%20x%5E%7B2%7D%20%2B5%29)
Our original expression (the one we started the problem with) had a 3y we already pulled out. We need to include that in the completely factored expression. Doing so we get:
Answer:
B. 0.78
Step-by-step explanation:
0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.
Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.
Answer:55555
Step-by-step explanation:3 Points
Dawn's credit card has an APR of 15%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of
month
Previous
balance
50.00
51700.00
$1687 25
$1674 60
$1662 04
$1649.57
51637 20
New
charges
$1700 00
50.00
50 00
50.00
50.00
Payment
received
$0.00
$34 00
533 75
533 49
$3324
$32.99
$32.74
Finance
charges
50.00
521 25
$21 09
$20.93
$20.78
520 62
$20.46
Principal
paid
$0.00
$12.75
$1265
$12.56
$1247
$12.37
$1228
New
balance
$1700.00
$1687 25
51674 60
S1662 04
$1649 57
S1637 20
S1624 92
50.00
50.00
How much of the initial purchase has Dawn paid off over the 7 months?
Answer:
Step-by-step explanation: