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: x=38/7
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
0.5(5−7x)=8−(4x+6)
I do not like working with fractions so I will multiply by 2 on each side
2*0.5(5−7x)=2*8−2(4x+6)
5 -7x = 16 -2( 4x+6)
Distribute
5-7x = 16 -8x -12
Combine like terms
5-7x =4-8x
Add 8x to each side
5 -7x+8x = 4-8x+8x
5+x = 4
Subtract 5 from each side
5-5+x = 4-5
x =-1
You would add.
So the equation would be 1 3/4+1/4 which equals 2.
I hope this helped!:)
Answer:
V≈12.57
or 12.6
Step-by-step explanation:
