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.
Answer:
x = 145
Step-by-step explanation:
x and 35 are adjacent angles and are supplementary, sum to 180° , then
x + 35 = 180 ( subtract 35 from both sides )
x = 145
No because it says you can only insert up to 5 Dollar Bills unless you put them in one at a time.
You can do this by converting this into a ratio or a fraction
Ratio:
1 lb for 4 guinea pigs
1:4
If he was 8 lbs for x guinea pigsit would be
1:4
8:x
Multiply the first ration until the one is equal to 8, then whatever the four turns into is x
Fraction: (easier way)
1/4 (1lb for 4 guinea pigs)
8/x (8lb for x guinea pigs)
1/4 = 8/x
Multiply one until it is equal to 8
Correspond that to the 4
1*8 = 8
4*8 = 32
32 guinea pigs
If the probability of each of her shots going in is higher than 50% then the highest probability scenario is that she scores both