Answer:
He would walk 10 miles in 5 hours, and it would take him 2 hours to walk 4 miles.
Step-by-step explanation:
The answer would be 3. {0,3}.
Remember: {x,y}
2(0)+3=3
0+3=3
0+3=3
The maximum height of the rocket is 43.89 feet
<h3>How to write the function</h3>
The general function is given as:
h(t) = -16t^2 + vt + h
The initial velocity is
v = 53
So, we have:
h(t) = -16t^2 + 53t + h
The initial height is
h = 0
So, we have:
h(t) = -16t^2 + 53t
Hence, the function of the height is h(t) = -16t^2 + 53t
<h3>The maximum height of the rocket</h3>
In (a), we have:
h(t) = -16t^2 + 53t
Differentiate the function
h'(t) = -32t + 53
Set to 0
-32t + 53 = 0
This gives
-32t = -53
Divide by -32
t = 1.65625
Substitute t = 1.65625 in h(t) = -16t^2 + 53t
h(1.65625) = -16 * 1.65625^2 + 53 * 1.65625
Evaluate
h(1.65625) = 43.890625
Approximate
h(1.65625) = 43.89
Hence, the maximum height of the rocket is 43.89 feet
<h3>Time to hit the ground</h3>
In (a), we have
h(t) = -16t^2 + 53t
Set to 0
-16t^2 + 53t = 0
Divide through by -t
16t - 53 = 0
Add 53 to both sides
16t = 53
Divide by 16
t = 3.3125
Hence, the time to hit the ground is 3.3125 seconds
<h3>The graph of the function h(t)</h3>
See attachment for the graph of the function h(t)
Read more about height functions at:
brainly.com/question/12446886
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Answer:
2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.
2x + 3y = 12
subtract 2x from both sides.
3y = -2x + 12
Divide both sides by 3.
y= - 2/3 x + 12/3 =
y= - 2/3x + 4
The slope is - 2/3