The equation modeling the height of the ball at time,t is given by h=-16t²+48t+6
<span>a. In how many seconds does the ball reach its maximum height?
Time taken for the ball to reach the maximum height will be given by:
h'(t)=-32t+48=0
finding the value of t we get:
32t=48
t=48/32
t=1.5 seconds
Thus the time taken for the ball to reach the maximum time is 1.5 seconds
b]</span><span> What is the ball’s maximum height?
The maximum height will be:
h(1.5)=-16(1.5)</span>²+48(1.5)+6
h(1.5)=42 fee
Answer: a plumber earns $50 each day and a helper earns $30 each day.
Step-by-step explanation:
Let x represent the amount that a plumber earns in a day.
Let y represent the amount that a helper earns in a day.
One day, four plumbers and five helpers earned $350. This means that
4x + 5y = 350 - - - - - - - - - - -1
At the same rate of pay, another group of five plumbers and six helpers earned $430. This means that
5x + 6y = 430 - - - - - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 4, it becomes
20x + 25y = 1750
20x + 24y = 1720
Subtracting, it becomes
y = 30
Substituting y = 30 into equation 1, it becomes
4x + 5 × 30 = 350
4x + 150 = 350
4x = 350 - 150
4x = 200
x = 200/4 = 50
Answer:
y=16x
Step-by-step explanation:
So, you are given the equation as if y=total distance the earth travels in x minutes. If you are given that you travel 80 miles in 5 minutes, you can plug these value into the variables they are representing and solve for the constant.
Visual:
y=xk y=miles x=minutes k=constant
Plug in your values and you get:
80=5k
Now, you solve for k by diving 5 on both sides, which leaves you with k=16.
Now you plug your value for k into the original equation, leaving you with y=16x
9x=5x+ (9=x)
(combine like terms)
9x=6x+9
(get the x value alone on one side of the equation, in this case by subtracting 6x from both sides)
3x=9
(divide by 3 on both sides to get x alone)
x=3
