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yaroslaw [1]
3 years ago
11

Factor completely if the polynomial is not factorable write prime also state the methods used to factor the polynomial.

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0
For question 1
x²-12x+36

An easy and efficient way to remember how to factor is to see the different parts of the polynomial.

If the last number (in this case 36) has the multiples which add up to the middle number (12), then the polynomial is factorable. 36 has the multiples (6,6) which add up to 12.

Now check the symbols, if the symbol before the last number is a +, that means the two factors have the same symbol. Now see the symbol before the middle number. If its a negative, the factors would be minus as well.

x²-12x+36
(x        )(x        )
(x-  )(x-  )    Same symbol as (-)12x
(x-6)(x-6)    Multiples of the last number (36)

x²-12x+36 = (x-6)(x-6)

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Look at the question
tamaranim1 [39]
Your answer is:

B. subtract 10 to both sides

Hope it helps
Have a great day :)
Let me know if it’s correct
5 0
3 years ago
Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
Write an equation to make the number "24" using all the numbers 5,4,2,2 and +, -, x and ÷.
Snezhnost [94]

Answer: See explanation

Step-by-step explanation:

We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:

= 5 × 4 + 2 + 2

= 20 + 2 + 2

= 24.

Since we have gotten a final answer of 24, the equation is solved.

8 0
3 years ago
Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
maw [93]

Answer:

answer in photo

hope this helps :)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
B=2.35 + 0.25x
Neko [114]

Answer:

D. 3.35

Step-by-step explanation:

First we need to form an equation and solve it to find the number of weeks when the prices were the same. Because the prices were the same we can say that b = c, and therefore form the equation:

2.35 + 0.25x = 1.75 + 0.4x - Now we nee to solve it and find x.

2.35 - 1.75 = 0.4x - 0.25x

0.6 = 0.15x

x = 0.6 ÷ 0.15

x = 4 weeks

So now we substitute x into the equation for beef and find the price.

b = 2.35 + (0.25 × 4)

b = 2.35 + 1

b = $3.35 per pound

7 0
3 years ago
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