The solution to the above factorization problem is given as f′(x)=4x³−3x²−10x−1. See steps below.
<h3>What are the steps to the above answer?</h3>
Step 1 - Take the derivative of both sides
f′(x)=d/dx(x^4−x^3−5x^2−x−6)
Step 2 - Use differentiation rule d/dx(f(x)±g(x))=d/dx(f(x))±d/dx(g(x))
f′(x)=d/dx(x4)−d/dx(x^3)−d/dx(5x^2)−d/dx(x)−d/dx(6)
f′(x)=4x^3−d/dx(x3)−d/dx(5x^2)−d/dx(x)−d/dx(6)
f′(x)=4x^3−3x2−d/dx(5x^2)−d/dx(x)−d/dx(6)
f′(x)=4x^3−3x^2−10x−d/dx(x)−d/dx(6)
f′(x)=4x^3−3x^2−10x−1−dxd(6)
f′(x)=4x^3−3x^2−10x−1−0
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Answer:
Step-by-step explanation:
Alright, lets get started.
Lets split the given graph in three parts.
First part: 0 to 30 minutes
We can see between this period, 0 to 30 minutes, the distance from home keeps increasing. It means from 0 to 30 minutes, Eli is moving towards the library.
Second part: 30 to 120 minutes
between 30 to 120 minutes,the distance from home does not changes. It means during this period, Eli is at the library.
Third part : 120 minutes to 135 minutes
Between 120 to 135 minutes, the distance from home is decreasing.
It means Eli is returning home in that period.
It means, at 120minute, Eli started her bicycle , home from the library. Hence option (b) : Answer
Hope it will help :)
(4,5),(-3,-1)
slope = (-1 - 5) / (-3 - 4) = -6/-7 = 6/7
y - y1 = m(x - x1)
slope(m) = 6/7
using points (-3,-1)...x1 = -3 and y1 = -1
now we sub...pay attention to ur signs
y - (-1) = 6/7(x - (-3) =
y + 1 = 6/7(x + 3) <===
Answer: He rides for 2.5 hours or 2 and a half hours.
Step-by-step explanation:
He needs to complete a trajectory of 22.5 kilometers.
He rides 9 kilometers per hour.
Divide the total by the amount of kilometers that he rides.
Answer:
Step-by-step explanation:
22.75/6 boxes is $3.79 per box
30/8 boxes is $3.75 a box
38/10 boxes is $3.80 a box
68/18=3.70 a box if you combine the last two.
So no, the 6 boxes at $3.79 a box is not a better buy.
