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.
<span>1. independent
2. dependent
toss a dime and then toss a quarter
* Ask yourself, "Does the 1st event have any effect on the results of the 2nd event?" And in this case, the answer is no. No matter what result happened for the dime flip, it won't affect the quarter flip. So these events are independent.
pick a card from a deck of cards keep the card and pick another one
* Ask yourself the same question. The 1st card is one of any of the 52 cards in the deck, while the 2nd card is from the remaining 51 cards. So the 1st event does affect the 2nd event. Therefore they're dependent.</span>
Assuming you meant...
'Johan is selling baseball cards for 12$ each. He is selling 8 cards and says he'll make 8$ profit. How is it reasonable if the answer is correct?'
The answer is reasonable if he is only making a $1 profit per baseball card. For example if he bought the baseball cards for $11 and is selling them for $12, than he only makes $1 for every cards sold. If he sells 8cards, he'll make an $8 profit.
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
f(x)= x+2
g(x) = x-7

Here we have x-7 in the denominator
To find domain we set the denominator =0 and solve for x
x-7=0
Add 7 on both sides
x=7
x=7 makes the denominator 0 that is undefined
So we ignore 7 for x
Hence domain is
(-∞,7) U (7,∞)