Answer:
13
Step-by-step explanation:
n+(n+2)+(n+4)=42
3n+6=42
3n=42-6=36
3n=36
n=13
13+14+15=42
(B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
(C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
(D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
The function is a parabola, and the problem asks to transform the equation into f(t)=a(x-h)2 + k
Given f(t) = 4t2 -8t +7
= (4t2 - 8t + 4) + 7 - 4
=4 (t2 - 2t + 1) + 3
= 4 (t-1) 2 +3
This removes C and D from the viable choices.
Differentiating the f(t),
f’(t) = 8t – 8, the maximum/minimum value occurs at f’(t) = 0
0 = 8t – 8
t = 1
determining if maximum or minimum, f”(t) > 0 if minimum, f”(t) < 0 maximum
f”(t) = 8 > 0, therefore minimum
f(1) =4(1)^2 – 8(1) +7
= 3
Therefore, minimum height is 3.
Answer:
T= 4 s (second option).
Answer:
B
Step-by-step explanation:
Have A Great DAY!!!
Answer:
D. Charles, John, Thomas, Yurly
Step-by-step explanation:
I started by finding the greatest jump- Yurly. Since you have to order the names from least to greatest, Yurly would be last. Option D is the only option where Yurly is last, therefore option D would be the only possible correct option.
B)m=-1
C)m=14
D)m=-8=-+sqrt33
The equation for the circle is:
(x-8)^2 + (y-1)^2 = 49
If we take 'y' as 1, then
(x-8)^2 + 0 = 49
x-8 = √49
x = ±7 + 8
x = 15 or x = 1
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative will always be negative.
Answer:
if they are both positive its positive
if ones positive and ones negitive its negative
if they are both negative its positive
Step-by-step explanation: