since the numerator is x² + 5x - 3, and therefore has a degree of 2, whilst the denominator, 4x¹ - 1, has a degree of 1, therefore, there's no horizontal asymptote.
recall, we only get a horizontal asymptote if the denominator's expression degree is equals or greater than that of the numerator's.
Answer:
see explanation
Step-by-step explanation:
The surface area (A) of a sphere is calculated as
A = 4πr² ← r is the radius, here r = 9, thus
A = 4π × 9² = 4π × 81 = 324π ≈ 1017.9 units²
There is no discount stated but I'm assuming this problem is the same problem I encountered before.
Original price of the telescope is $99.99
Discount: 13%
$99.99 * 13% = 12.9987 or 13
$99.99 - 13 = $86.99 or $87
New selling price is $86.99 rounded up to the nearest unit $87.00
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
Given:
Given the inequalities:4
Required: Identify the inequality in which x = 8 is a solution.
Explanation:
Substitute 8 for x in each inequality and check whether it satisfies the inequality.
Consider 4x + 3 > 0.
So, x = 8 satisfies the inequality 4x + 3 > 0.
Consider 9x - 5 < 100.
So, x = 8 satisfies the inequality 9x - 5 < 100.
Consider x + 4 ≤ 10.
So, x = 8 not satisfies the inequality.
Consider 72 ÷ x ≥ 4.
So, x = 8 satisfies the inequality.
Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.
