Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is

Where
is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:

So the equation is:

The ball hits the ground when when
So

We use the quadratic formula to solve the equation for t
For a quadratic equation of the form

The quadratic formula is:

In this case

Therefore

We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
It is c = kt.
Step-by-step explanation:
This is direct variation . As the time increases the number of cranes increases.
The equation is c = kt where k is the constant of variation. In this case it will be a positive value because c is increasing with time.
If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;
20 = k * 10
g = 20/10
k = 2.
So they make 2 cranes per minute.
The expressions is undefined in the set of the real numbers.
The high temperature was 2 degrees Fahrenheit in the town that day.
Step-by-step explanation:
Given,
Low temperature in Leroy's town = -4 degree Fahrenheit
Difference between low and high temperature = 6 degrees Fahrenheit
Equation used to find high temperature h;

Solving the equation

The high temperature was 2 degrees Fahrenheit in the town that day.
Keywords: equation, subtraction
Learn more about subtraction at:
#LearnwithBrainly
The graph of the parent function f(x<span>) = </span>x2<span> is dashed and the graph of the transformed function </span>g(x) = (x<span> – </span>h)2<span> is solid.
If h=3 the vertex shifts to (3,0).
If h=-5 the vertex is shifted to (-5,0)
I hope this helps! Sorry no one got back to you in the past few days ):
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