<h3>
Answer: Choice B</h3>
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
==========================================================
Further explanation:
Let's go through the answer choices one by one
- A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that
is the correct order as well. - B. This is true. A value like x = -1.2 is in the set
since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write 
. The portion 
means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". - C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
- D. This is false. Writing
would not make any sense. This is because that compound inequality breaks down into 
. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
To find this answer, we need to multiply 3.57 by 12.
Therefore, 12 planks will cost $42.84.
Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Answer:
7 in both boxes
Step-by-step explanation:
In the picture, it shows
4 (x - 3) = 20
and then it shows
4 (x) - 4 (3) = 20
so practically you separate the x and 3 and put them in parentheses and then put a 4 next to both of them.
It should be the same as your question.
7 x (8 - 3)
and then separate 8 and 3 and put a 7 next to both of them.
( 7 x 8) - ( 7 x 3)
Hope it helps and have a great day! =D
~sunshine~
There are an infinite number of possible common denominators.
The smallest one is 12 , and every multiple of 12 is another one.
