The formula Y=X⁴-4X³+3X² is growing?
1 answer:
Answer:
The best way to know weather the formula y=x⁴-4x³+3x² is growing or not, is by graphing it.
As you can see in the attached picture:
- For -inf<x< 0 the graph decreases.
- For 0<x<0.634 the graph is growing
- For 0,634<x<2.366 the graph decreases
- For 2.366<x<+inf the graph is growing.
Therefore, the polynomial grows in the intervals stated before.
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Pablo can ride his bicycle with speed of 18 miles per hour
<u>Solution:</u>
Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.
Let the speed of Pablo be "n" miles per hour
Then the speed of the Pedro will be "2n" miles per hour
Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,
We have to find how fast can Pablo ride his bicycle?
<em><u>The formula for speed is given as:</u></em>
Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours
<em><u>In case of Pablo:</u></em>
<em><u>In case of Pedro:</u></em>
Then, equate both (1) and (2)
Now, substitute t = 2 in (2)
Hence, the speed of Pablo is 18 miles per hour.