Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4

Answers

Answer 1

Answer: 16a² - 4a + 4a - 1 can be simplified to a difference of squares:

16a² - 4a + 4a - 1 =
16a² - 1 =
(4a)² - 1² =
(4a-1)(4a+1)

Answer 2

Answer:

Answer:

2. $16a^2-4a+4a-1$

Step-by-step explanation:

We have to find the polynomial can be simplified to a difference of squares.

1. $10a^2+3a-3a-16$

Combine like terms

$10a^2-16$

10 in $10a^2$ is not a perfect square number because when a number end with one zero then the number is not perfect square number.

Therefore, it can not be simplified to a difference of squares.

2. $16a^2-4a+4a-1$

$16a^2-1$

Combine like terms

$(4a)^2-(1)^2$

Hence, the polynomial can be simplified as difference of squares.

3. $25a^2+6a-6a+36$

Combine like terms

$25a^2+36$

$(5a)^2+(6)^2$

Hence, the polynomial can not be simplified as difference of squares because the polynomial can be simplified as sum of squares.

4. $24a^2-9a+9a+4$

Combine like terms

$24a^2+4$

$24a^2+(2)^2$

$24=2* 2* 3* 2$

24 is not a perfect square number because when factorize 24 then 2 and 3 are not paired.

Hence, the polynomial can not be simplified as difference of squares.

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How to do multply the simple way?

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

Lattice multiplication

Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a lattice to multiply two multi-digit numbers.To multiply using the box method, first, write each number in expanded form. Then create a box that is the size of the number of digits for each number being multiplied. Next, fill in the box by multiplying the numbers that correspond to each row and column. Finally, all of the numbers inside the box to get the final answer.

Answer: Sorry if my english is bad

Step-by-step explanation: Line up the numbers on top of each other. It will be much easier. Also, if you have two digit numbers, multiply the first column and then the second column (same goes for bigger numbers). An easy way to learn your times tables is to start off with adding multiple of the same number. For example, 3+3+3 = 9 and 3 x 3 = 9

Express the ratio 20:35 in simplest form.

Answers

Answer:4:7

Step-by-step explanation:

20:35

/5 on both sides.

4:7

Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-shirts, write an expression that represents how much one T-shirt costs

Answers

so total money=m
cost=total money
cost=number of tshirts times cost per tshirt
subsitute
m=27 times cost per shirt
to solve for cost per 1 shirt, divide both sides by 27
$(m)/(27)$ =cost per 1 shirt

answer is 1 t-shirt costs $(m)/(27)$

m = the total amount of money spent
y = how much each t-shirt costs
m / 27 = y
because:
y x 27 = m
so the equation is:
>m/27 = y

Use your completed 24-hour circle to calculate how much time you spend on each activity listed in the Activities Breakdown below each week. The blank lines are for any additional situations that take up your time. After you have totaled up all the items you can think of, figure out how much free time you have. ACTIVITIES BREAKDOWN - Hours per week 2. Study Time, reviewing, projects, papers 3 11. ____ 12.___ 13. Wasted hours ___ A. Sleep B. Work C. Leisure D. Wasted hours

Answers

Answer:

To calculate how much time you spend on each activity, you need to fill in the circle with everything you do in a day, using 24-hour format1. For example, if you sleep for 8 hours, work for 4 hours, and study for 3 hours, you can write these numbers in the circle. Then, you can add up the hours for each activity and write them in the table below.

Here is an example of how to fill in the circle and the table:

|-----------------|

| |

| 8 4 |

| / \ / \ |

| / \/ \ |

| / /\ \ |

|/ / \ \ |

| / \ \ |

| / \ \|

| / \ /|

|/ \ / |

| X |

| / \ |

| / \|

| / |

| 3 |

| |

|-----------------|

ACTIVITIES BREAKDOWN - Hours per week

1. Class Time: 0

2. Study Time, reviewing, projects, papers: 3 x 7 = 21

3. Commuting: 0

4. Dressing and eating: 1 x 7 = 7

5. Hours of employment: 4 x 5 = 20

6. Responsibilities at home: 1 x 7 = 7

7. Athletics requirements: 0

8. Telephone and computer: 2 x 7 = 14

9. Television: 1 x 7 = 7

10. Sleeping: 8 x 7 = 56

11.

12.

13. Wasted hours:

Total: (21 + 7 + 20 + 7 + 14 + 7 +56) =132

Total number of hours per week =168

Subtract your Total (132)

Total free hours per week = (168 -132) =36

Step-by-step explanation:

How long will money in savings take to double at 5% interest compounded annually? Round the answer to the nearest hundredth of a year.

Answers

For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.

If we want the final value F to double given 5% per year interest, F=2P then i=5.

Solving for n:

2P=P(1+0.05)^n
2=(1.05)^n
log(base 1.05)2=n
n=14.206=14.21 years

What is the slope of the line that passes through the points (1,−6) and (−2,−8)?

Answers

Answer:

(2/3)x-(20/3)

Step-by-step explanation:

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