9514 1404 393
Answer:
12 feet
Step-by-step explanation:
You seem to have a few of these, so let's find a generic solution.
The vertex form of a quadratic equation is ...
f(x) = a(x -h)² +k
When we expand that, we get ...
f(x) = a(x² -2hx +h²) +k = ax² -2ahx +ah² +k
Comparing this to your standard form quadratic ...
h(t) = -16t² +vx +s
we can see that ...
- a = -16
- -2ah = v
- ah² +k = s
Solving for h and k, we get ...
(-2)(-16)h = v
h = v/32
and
k = s -ah² = s -(-16)(v/32)²
k = s +v²/64
So, the generic solution for these problems is ...
h = time to maximum height = v/32
k = maximum height = s +v²/64
__
This problem asks for the maximum height, which will be ...
s +v²/64 = 3 +24²/64 = 3 +9 = 12 . . . . feet
Answer:
b. The slope of the line
Step-by-step explanation:
To explain the question statement, first we view the pattern of regression of equation which is
Y=a+bx
Where Y is dependent variable and x is an independent variable.
a represents the Y-intercept and depicts the value of dependent variable y when independent variable x=0. b represents the slope in the regression equation and interpreted as unit change in dependent variable Y due to unit change in independent variable X.
Answer:
Step-by-step explanation:
(x + 200)20 = 200(10) + x(40)
20x + 4000 = 2000 + 40x
2000 = 20x
X = 100 mL
Possible outcomes
1. H H H
2. T T T
3. H T T
4. H H T
5. T T H
6. T H T
7. H T H
8. T H H
There are 8 possible outcomes.
The Y intercept is (0,4)
The X intercept is (-2,0)
