Let the equation be:
y = ax^2 + bx + c.
Then, substitue the three points into the equation.
First point: 0 = a0^2 + b0 + c.
So c = 0.
Second point: -2 = a(-1)^2 + b(-1) + c.
So a - b + c = -2.
Third point: 6 = a*1^2 + b*1 + c.
So a + b + c = 6.
We know that c=0 already, so we substitute c=0 into the last two equations and we would get:
a - b = -2
a + b = 6
We add the two equations and we get:
2a = 4
a = 2
Then, we substitute a=2 into a-b=-2 and we get:
-b = -4
b = 4
Now we know a = 2, b = 4, and c = 0
Then, the equation of the parabola would be:
2x^2 + 4x
Answer:
hello : 6.23x10^14 > 8.912x10^12^12
Step-by-step explanation:
let : A= 6.23x10^14 and B = 8.912x10^12
A= (6.23x10^2) x10^12 ... because : 10^14 = 10^2x10^12
A = 623 x 10^12
623 > 8.912
so : A > B
Answer:
The area of the lawn is 68 .
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140
Area of triangle = x base x height
= x 3 x 8
= 12
Area of trapezium = (a + b) h
= (5 + 7) 10
= 60
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 .
Answer:
D. 5x + 3 = 17
Weight of each book = x pounds = 2.8 pounds
Step-by-step explanation:
Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
A. 3(x + 5) = 17
B. 3x + 5 = 17
C. 5(x + 3) = 17
D. 5x + 3 = 17
Weight of the empty travel bag = 3 pounds
Copies of book = 5
Weight of each book = x pounds
Total weight of 5 books = 5 * x
= 5x pounds
Total weight of the bag and books = 17 pounds
The equation is:
Total weight of the bag and books = Weight of the empty travel bag + Total weight of 5 books
17 = 3 + 5x
Can also be written as
5x + 3 = 17
Solve for x
5x + 3 = 17
5x = 17 - 3
5x = 14
x = 14/5
x = 2.8 pounds
Weight of each book = x pounds = 2.8 pounds
Answer:
80000
Step-by-step explanation:
The first digit is the only one with any constraints: it cannot be 1 or 0. This leaves us with 8 options (2, 3, 4, 5, 6, 7, 8, 9).
The other four digits have no such conditions, so we have 10 choices for each of them (0-9, inclusive).
So!
8 * 10 * 10 * 10 * 10 = 80000 :))