Determine whether 3x + 12 + x is equivalent to
1 answer:
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It takes 4.3 seconds for the rocket to return to earth.
The equation is:
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:
We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
The equation is:
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:
We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost dollars and each pound of jelly beans cost
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So, --------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So, --------------- 2
Multiplying equation 2 by -3, we get
Now, adding equations 1 and 3, we get
Now, plug in in equation 1 and solve for
.
Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.