Answer:
Step-by-step explanation:
Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:
Hope this helps!
- 12 + x ≥ 3 (x - 6)
- or, 12 + x ≥ 3x - 18
- or, 12 + 18 ≥ 3x - x
- or, 30 ≥ 2x
- or, 30/2 ≥ x
- or, 15 ≥ x
- or, x ≤ 15
<u>Answer</u><u>:</u>
<em><u>x </u></em><em><u>≤</u></em><em><u> </u></em><em><u>1</u></em><em><u>5</u></em>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Step-by-step explanation:
<em>The options are not well presented; however, the solution is as follows</em>
Given
Number of tickets = 800
Advanced = 35%
Required
Equation to find tickets sold in advance
To get the number of tickets sold in advance, we simply multiply the percentage ticket by the total tickets;
The equation becomes
Convert percentage to decimal
Solving further to get the actual tickets sold
Answer:3 and 1/8
Step-by-step explanation:by adding
<h3>Answer:</h3>
There are 40,320 ways, in which 8 books can be arranged on a shelf.
<h3>Solution:</h3>
Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
- If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .
<u>Permutations </u><u>:</u>
- A permutation is an arrangement of objects in a definite order.
➲<u> P ( n, r )= n ! / ( n - r ) !</u>
- n = total number of objects
- r = number of objects selected
The number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are <u>40,320 ways</u> in which 8 books can be arranged on a shelf !
