It will hit the ground when h(t)=0. Since the hammer is simply dropped its initial velocity, v0, is equal to zero and we are told that the initial height, h0, is 25m so our equation is:
h(t)=-4.9t^2+25, we want h(t)=0 so:
4.9t^2-25=0 add 25 to both sides
4.9t^2=25 divide both sides by 4.9
t^2=250/49, since t>0
t=+√(250/49) seconds
t≈2.3 seconds (to the nearest tenth of a second)
Answer:
x=5
Step-by-step explanation:
All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.
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f (x) = x ^ 4-x ^ 3 + x ^ 2-x
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer: 2 x intercepts appear on the graph of this polynomial function
Answer: option A. 25.
Explanation:
1) f [g (1) ] ⇒ find the image of g(1) and use it as the input for f(x).
2) g(x) = 5 => g(1) = 5
3) f (g (1) ) = f (5) = (5)² = 25
That is the answer: f [ g(1) ] = 25.
Second one where the wind is blowing 35 km/h east
this is velocity because it gives u both displacement over time and direction