Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
<u>First what I did was find how much each pound would cost per different package. </u>
<u>So starting off with the 3 pound package. I did 2.49 divided by 3 to find out how much each pound would weigh. </u>
2.49 / 3 = 0 . 83
<u>So each pound in the 3 pounded package would cost $0.83. </u>
<u>Now to see how much the 8 pound package would cost. Just like the 3 pound package I had to find how much each pound would weigh. So I divided 6.49 by 8. </u>
6.49 / 8 = 0.81125
<u>So looking at the results the 3 pound package would be the best option. You are getting more for less. </u>
<u />
HOPES THIS HELPS!
Answer:
D. 6x-14
Step-by-step explanation:
So first we would do 3x^2+3x^2-5x^2
That would all cancel out so that would be 0.
Next we would do 3x-4x+7x, this would equal to 6x
Finally we would do -4-8-2, this would be equal to -14
Then the equation would be 6x-14
All you have to do is combine like terms.
Hope this helped!
2. It will take 6.5 hours
3. The dragonfly travelled 87.5 miles
4. The car's rate of speed is 303 mph
5. Kim will get there first