Answer:
A: second one or middle choice
B: (5x + 8)(3x - 2)
Step-by-step explanation:
First question (A)
It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.
It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.
So the A answer is the second one. You need two different binomials to factor this.
Second Question
You could try all the possible pairings and solve them by brute force.
The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.
There must be a shorter way.
14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.
(5x + 8)(3x - 2)
The middle term is 8*3x - 2*5x = 14x and that looks like the answer.
Answer: The answer is B do the butterfly method 2 times 15 is 30 1 times five is five so the Answer will be 30:5
Answer: 151
Step-by-step explanation:
When the prior estimate of population proportion is available , then the formula for sample size: 
, where p= prior estimate of population proportion
z*= critical-value.
E= Margin of error.
Let p be the proportion of of girls "wait for their missionary".
p = 11% =0.11
E= ± 0.03
The critical z-value corresponding to 90% confidence level = z*=1.645 [using z-table ]
Substitute all the values in the above formula , we get
Required sample size :
[Rounded to next integer.]
Thus, the number of observations he needs in his sample = 151
Okay, let's use x for the 24 page packages and y for the 30 page packages:
x + y = 9
x = -y + 9
Now here's the second equation:
24x+30y = 258
We can input y into our second equation:
24(-y + 9) + 30y = 258
-24y + 216 + 30y = 258
6y = 42
y = 7
9 - 7 = 2, so:
Joann bought 7 :30 paper pakages
and 2 :24 paper packages
12*11*10"9*8 whatever that turns out to be lol
