Answer:
Step-by-step explanation:
<u>Standard form of quadratic function:</u>
<u>Vertex form:</u>
<u>Convert the given function by completing a square:</u>
y = x² - 8x - 3 =
x² - 2*4*x + 4² - 4² - 3 =
(x - 4)² - 19
Answer:
The customers are wrong.
Step-by-step explanation:
Apple juice is wayyyyyyyyy better than orange juice.
Answer:
1/8
Step-by-step explanation:
9/16 * 4/18
Rewriting
9/18 * 4/16
9/18 = 1/2 and 4/16 = 1/4
1/2 * 1/4
1/8
Answer:
11 tickets
Step-by-step explanation:
1. write an equation:
First, variable x symbolizes the number of adults who bought tickets. And variable y symbolizes the number of students.
If each adult paid $6, and each student paid $4, and the total dollars you've collected is 104, this is how we'll write our equation:
6x + 4y = 104
2. we can write another equation based on this information: "You sold 21 tickets". Which concludes that the number of tickets adults and students had paid for equals the number of tickets you've sold:
x + y = 21
3. now, we've got two equations. Let's compensate:
x + y = 21
x = 21 - y
6x + 4y = 104
6 (21 - y) + 4y = 104
126 - 6y + 4y = 104
-6y + 4y = -22
-2y = -22
y = -22 / -2
<u>y = 11</u>
So the number of student tickets is <u>11</u>.