The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
Answer 34
Step-by-step explanation: 180 - 82 - 64 =34
or 82 + 64 + x = 180
c = 34
Given:
Radius of the sphere = 10 in
To find:
The surface area of a sphere
Solution:
Surface area of sphere:
in²
The surface area of a sphere is 400π in².
Answer is A. 18
EXPLANATION-
Its Simplifying
(9x + -44) = (6x + 10)
Reorder the terms:
(-44 + 9x) = (6x + 10)
Remove parenthesis around (-44 + 9x)
-44 + 9x = (6x + 10)
Reorder the terms:
-44 + 9x = (10 + 6x)
Remove parenthesis around (10 + 6x)
-44 + 9x = 10 + 6x
Solving
-44 + 9x = 10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-44 + 9x + -6x = 10 + 6x + -6x
Combine like terms: 9x + -6x = 3x
-44 + 3x = 10 + 6x + -6x
Combine like terms: 6x + -6x = 0
-44 + 3x = 10 + 0
-44 + 3x = 10
Add '44' to each side of the equation.
-44 + 44 + 3x = 10 + 44
Combine like terms: -44 + 44 = 0
0 + 3x = 10 + 44
3x = 10 + 44
Combine like terms: 10 + 44 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
