Express 160 as the product of its prime factors. Write the prime factors in ascending order and give your answer in index form

Step-by-step explanation:

Prime factors

The first primes are:

2, 3, 5, 7, 11, 13...

Factoring a number in prime factors implies dividing it by the numbers above and listing those factors whose division is a whole number, i.e. no remainder is left.

The number 160 can be divided by 2:

160 / 2 =80

Let's try dividing by 2 until possible:

80 / 2 = 40

40 / 2 = 20

20 / 2 = 10

10 / 2 = 5

The last factor can only be divided by 5. The list of factors is:

160 = 2*2*2*2*2*5

Expressing in index form:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

answer: 5 17/33 % (to the tenth)

step-by-step explanation:

he guessed: 34.5 pounds

actual weight is 32.7

there for he is off:

34.5 -32.7 = 1.8

32.7 is the 100%

1.8 represents %? of 32.7

therefore:

32.7   - 100%

1.8     -     x%

x= 1.8*100%/32.7% = 18*100%/327%

x=1800%/327%   = (5 165/327)%

to the tenth:

5 17/33 %