Answer:
y=
x-2
Step-by-step explanation:
Slope intercept form is a way to describe a function using its slope and y-intercept and is written as y=mx+b.
m=slope
b=y-intercept
Looking at the graph we can see it goes through x=0 at y=-2 making -2 the y-intercept.
Then we must solve for slope, slope is rise/run. From the point (0,-2) the function travels to (7,0).
This gives us a rise (change in x) of 2 and a run (change in y) of 7 and 2/7 as our slope.
Answer:
x = 2
Step-by-step explanation:
The axis of symmetry is a vertical line passing through the vertex, with equation
x = c ( c is the x- coordinate of the vertex ) , then
x = 2 ← equation of axis of symmetry
Answer:
15,625 feet and either 56.469 seconds or 87.719 seconds
Step-by-step explanation:
strap in because we need calculus buddy. we're given the displacement equation but we want velocity because at the bullets max height it will pause briefly before coming down and this implies zero velocity. derivative of that equation is -32t+1000. set this equal to zero and find t to see how long this takes. 31.25 seconds to reach zero velocity (the tip of the parabolic motion). now plug that t back into the displacement equation to find height after 31.25 seconds and it's like 15,625 which is ridiculously high. now it has to come down so gravity will be taking over here so it has it's own special equations and we know the equation for that is like x=1/2at^2 or something. we know x is 15,625. let's find time it takes to get down by solving that for t. 15,625÷4.9=t^2 so t=56.469 or something. now its unclear if they want the entire time elapsed from firing the gun or just the falling to ground time so if it's the entire time let's go ahead and add that initial 31.25 seconds to the 56.498 seconds so like 87.719 total seconds.
1 day = 750 m
1 * 7 = 750 * 7
7 days = 5250 m
Now, since 1 km = 1000 m, this means in order to convert from meters to kilometers you must divide by 1000
5250 / 1000
= 5.25 km
Or, you could do the hard way by going to wolfram alpha / google and typing 5250 m to km.
Hope this helps!
Answer:
The null hypothesis is: 
The alternative hypothesis is: 
Step-by-step explanation:
Consider the provided information.
It is given that the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi.
The null hypothesis indicates that there is no substantial difference between given populations, due to sampling or experimental error, any observed difference.
Therefore, the null hypothesis is:
The required alternative hypothesis is:
