Check my answer!Factor completely: 6x2 – 12x – 18.

A. 3(2x + 3)(x – 1)
B. (3x + 3)(3x – 3)
C. 6(x + 1)(x – 3)
D. 6(x – 1)(x – 3)

The answer would have to be C. or D.

Answers

Answer 1

Answer: Factor out a 6

6 / 6x^2 = x^2
6 / -12x = -2x
6 / -18 = -3

6(x^2 - 2x - 3)

Multiply the first term to the last
1 x -3 = -3

(a x b) = -3
(a + b) = -2 (middle term)

(1 x -3) = -3
(1 + -3) = -2

Plug them in by replacing -2x and simplify

6(x^2 - 1x - 3x - 3)
6((x^2 - 1x) - (3x - 3))
6(x(x - 1) - 3(x - 1))
6(x - 3)(x - 1)

Or in this case, 6(x - 1)(x - 3)

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Answers

Dont know lol it is something I am not familiar with ask your teacher

Explain when you know you need to rename a mixed number to subtract

Answers

We have already learned about renaming fractions when we have two different denominators. To rename a fraction means that we are going to take the fractions and write an equivalent fraction that has a common denominator.

13=39

This is an example of renaming one-third to be three-ninths. The fractions are equivalent or equal, but the second fraction has a denominator of 9.

Sometimes when we subtract mixed numbers, we must rename the mixed numbers in a different way.

What does this mean? It means that when we are subtracting a mixed number from a whole number, we must rename to subtract correctly.

Let’s look at an example.

Example

6−456––––––––

In this example, we are trying to take a fraction from a whole number. We have to RENAME this whole number to do this.

How can we rename 6 to have a whole number part and a fraction part?

Think back. Remember when we learned that any fraction where the numerator and the denominator are the same that the fraction is equal to one?

1=44 or 33 or 55

Do you remember this? Well, if we can take one and rename it as a fraction, then we can use that to help us in our subtraction.

In the example above, we need to take 6 and make it a mixed number so that we can subtract. To do this, we borrow a one from the six and make it five. Then we take that one and make it into a fraction that has sixths as a denominator since that is the denominator of the fraction we are subtracting.

6=566

Next, we rewrite the problem.

Example

566−456–––––––– 116

This is our final answer..

Sometimes, we also have to rename a mixed number if the fraction we are subtracting is larger than the first fraction.

Example

619−349––––––

Karen's batting average is 0.444 she was at bat 45 times how many hits did she get

Answers

45*0.444=19.98
She hit twenty times

44.4 square feet and its height is 7.4 feet

Answers

b=area/height b=44.4/7.4= 6 b=6 :)

First you have to notice which is which, then you divide 44.4 by 7.4 to get 6. 6 is your answer. Hope this helps.

after Barbara fills each of her 4 squirrel feeders with 2 2/3 cups of peanuts she has 1 3/4 cups of peanuts left. how many cups of peanuts did Barbara start with.