What is x in x+2=4(x-3)
1 answer:
<u><em>x=14/3 is the correct answer. </em></u>First you had to expand, and it gave us, , or
. And then subtract by two (2) from both sides of equation, and it gave us,
. Simplify, and it gave us,
. You can also subtract by four x (4x) from both sides of equation, and it gave us,
. And then simplify, and it gave us,
. You divide by negative three (-3) from both sides of equation, and it gave us,
. And finally simplify, and it gave us the answer is x=14/3 is the final answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie
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<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>
Answer:
1) There is no maximum height
2) The ball will never land
Step-by-step explanation:
<u>Derivatives</u>
Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.
Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that
If f''(a) is positive, then x=a is a minimum
If f''(a) is negative, then x=a is a maximum
1)
The function provided in the question is
Let's find the first derivative
solving h'=0:
x=3
Computing h''
h''(x)=4
It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height
2)
To find when will the ball land, we set h=0
Simplifying by 2
Completing squares
Factoring and rearranging
There is no real value of x to solve the above equation, so the ball will never land.
This problem seems to be wrong because no minimum point was found and no point of landing exists