Answer:
x = 36
Step-by-step explanation:
We have the equation (2/9)x + -2 = 6.
First, notice that adding a negative number is the same as subtracting by that number. So:
(2/9)x + -2 = 6
(2/9)x - 2 = 6
Now, we need to isolate the variable. Add 2 to both sides to cancel out the -2 on the left:
(2/9)x -2 + 2 = 6 + 2
(2/9)x = 8
Now multiply both sides by 9/2 to cancel out the 2/9 on the left:
(9/2) * (2/9)x = 8 * (9/2)
x = 72/2 = 36
Thus, x = 36.
<em>~ an aesthetics lover</em>
Answer:
The number of times members and non-members will have to rent a boat in order to pay the same amount=20
Step-by-step explanation:
We can have two expressions to show the total cost paid by a member and non-member;
Total cost by member=Cost per summer season+cost per number of times they rent a boat×number of times they rent a boat
where;
Cost per summer season=$105
Cost per number of times they rent a boat=$9.50
Number of times they rent a boat=n
Replacing;
Total cost by a member=105+(9.5×n)=9.5 n+105......equation 1
Total cost by a non-member=Cost per number of times they rent a boat×number of times they rent a boat
where;
Cost per number of times they rent a boat=$14.75
Number of times they rent a boat=n
Replacing;
Total cost by a non-member=(14.75×n)=14.75 n......equation 2
To calculate the number of times they would have to rent a boat in order to pay the same amount, we equate equation 1 to equation 2
9.5 n+105=14.75 n
14.75 n-9.5 n=105
5.25 n=105
n=105/5.25
n=20
The number of times members and non-members will have to rent a boat in order to pay the same amount=20
4/5
just take 16/20 and divde both be 4
Answer:
for each increase in prices by $1, the predicted demand decreases by 0.227 units.
Step-by-step explanation:
Answer: x=0 or x= plus or minus 2
Step-by-step explanation:
g(x)=x^4-8x^2+7
Critical numbers are the numbers where the first derivative is zero
g'(x)=4x^3-16x+0
=4x^3-16x
g'(x)=0
Implies
4x^3-16x=0
4x(x^2-4)=0
4x=0 OR x^2-4=0
x=0 or x^2=4
x=0 or x= plus or minus 2
