Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If 
then
What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:
Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4
Answer: A
Step-by-step explanation:
A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.
B.) the substitution and income effects would both predict Ethan would consume less of both goods.
C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.
D.) the substitution and income effects would both predict Ethan would consume more of both goods.
If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.
A global efect of a certain good (X) price rise can be divided into 2 efects:
- substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
- income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.
So, answer is A.
Answer:
- 270 tickets were sold
- not needed: books per player, tickets per book
Step-by-step explanation:
To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:
(total revenue)/(revenue/ticket) = total tickets
$810/$3 = 270 . . . total tickets
__
None of the other numbers in the problem are needed: books per player (1), tickets per book (10).
Answer:
1627190
Step-by-step explanation:
(see attached for reference)
Given the number 1627187, we can see that the number in the tens place is the number 8.
How we round this depends on the number immediately to the right of this number. (i.e the digit in the ones place)
Case 1: If the digit in the ones place is less less than 5, then the number in the tens place remains the same and replace all the digits to its right with zeros
Case 2: If the digit in the ones places is 5 or greater, then we increase the digit in the tens place and replace all the digits to its right with zeros.
In our case, the digit in the ones places is 7, this greater than 5, hence according to Case 2 above, we increase the digit in the tens place by one (from 8 to 9) and replace all the digits to its right by zeros giving us:
1627190
