Answer:
The solution set is the empty set.
Step-by-step explanation:
{x | x < 2} is the set of all numbers less than 2. This means x can take values such as 1.99, 0, -2000 and so on. That is, all values less than 2.
{x | x ≥ 2} is the set of all numbers equal to or greater than 2. This means x can take values such as 2, 2.1, 5000, and so on. That is, 2 or any value greater than 2.
Since there is no sign between the two sets, the question is asking for the intersection between these two sets. That is, what elements are common to these two sets? As we can see, the two sets don't have any common element. Hence, their intersection is the empty set.
(Note that the union of these two sets would be the set of all real numbers as that includes all elements from either set).
Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1
____
If an exponent has any arithmetic in it, parentheses are needed around it.
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. J<span>aden should plant the geranium </span>"at the point of intersection of an angle bisector and a perpendicular bisector of the triangle."
Answer:
The number of days is at most 5 days
= d ≤ 5 days
Step-by-step explanation:
A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:
She plans to drive 500 miles.
• She has at most $220 to spend.
At most means Less than or equal to $220
The inequality for expressing this = ≤
Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.
$31 × d + $0.13 × 500 miles ≤ $200
The inequality is given as:
31d + 65 ≤ 220
Solving further
31d ≤ 220 -65
31d ≤ 155
d ≤ 155/31
d ≤ 5
Therefore, the number of days is at most 5 days
Answer:
Option D
Step-by-step explanation:
This function has vertex at origin
Let's verify
Put (0,0)
Hence verified
