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Mkey [24]
3 years ago
14

5a^2-25a Select the method(s) of factoring that must be used to factor the following polynomial (select all that apply): Differe

nce of Squares, Product Sum Factoring, Greatest Common Factor (GCF), Bottoms Up Factoring, Cannot be factored.
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

We are given : 5a^2-25a

Please note: We always check Greatest Common Factor (GCF) first when factoring a polynomial.

If Greatest Common Factor (GCF) exist we factor out GCF.

In the given polynomial, we can see that greatest common factor of 5a^2 and 25a is 5a.

So, we would factor out GCF 5a first.

In order to factor out GCF, we need to divide all terms of the polynomila by GCF we got.

If we factor out 5a from 5a^2 -25a, we need to divide 5a^2 and -25a by 5a.

On dividing 5a^2 by 5a we get a and

on dividing -25a by 5a we get -5.

Therefore, on factoring out 5a, we get

5a(a-5).

Therefore, we use Greatest Common Factor (GCF) method of factoring.

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A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each b
Softa [21]

Answer:

  • 7 $5 bills
  • 10 $1 bills

Step-by-step explanation:

If we take out the extra $3, we can group the bills into one each of $5 and $1, for a value of $6. There will be 7 such groups in the remaining $42.

That means there are 7 bills of the $5 denomination, and 3 more than that (10 bills) of the $1 denomination.

There are 7 $5 bills and 10 $1 bills.

_____

If you want to write an equation, it is usually best to let a variable stand for the most-valuable contributor. Here, we can let x represent then number of $5 bills. Then the value of the cash box is ...

  5x +(x+3) = 45

  6x = 42 . . . . . . . . subtract 3, collect terms

  x = 7 . . . . . . . . . . . there are 7 $5 bills

  x+3 = 10 . . . . . . . . there are 10 $1 bills

You may notice that this working parallels the verbal description above. (After we subtract $3, x is the number of $6 groups.)

6 0
3 years ago
I need please help. thank you
Travka [436]

15. She bought:

3 jeans, $20 each

1 pants, $18

You find the total: 3(20) + 1(18) = $78 then you apply the discount

Since this is between 50-100, you use the 38% discount (decimal form: 0.38)

38% is being subtracted from your total, so you can do this:

100% - 38% = 62%      This is your total after the discount

78(0.62) = 48.36   Your answer is C

16. D   Income is the $ you make from your job

17. A    Budgeting helps you organize and limit your spending and meet financial goals

18. C    Liabilities impacts you negatively, since you have debts to pay off

19. A    

7 0
3 years ago
At a clothing store, Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Stephen bought 3 shirts and 3 t
zepelin [54]

Answer:

$19.50

Step-by-step explanation:

We can turn these into equations by making the shirts 's' and the ties 't'.  

4s+2t=95 and 3s+3t=84

Now we can solve the system of equations with substitution.

4 0
3 years ago
Tate is saving his money to buy a go-cart. The go-cart he wants costs $240. His mom agreed to chip in $60. What % of the total c
enot [183]
The answer is 25%.

60/240=x/100
60*100=6000
6000/240=25

60/240=25/100
7 0
3 years ago
Are the ratios 3/6 and 6/3 equivalent why or why not?
Bumek [7]

Answer:

Yes!

Step-by-step explanation:

It is because your still getting the same number 3 because even though your multiplying and dividing it still works

4 0
3 years ago
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