McKenzie runs 1.5 mi every 10 min.
1 answer:
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Answer:
Step-by-step explanation:
Given :
Solution :
Part A:
First find the potential roots of p(x) using rational root theorem;
So,
Since constant term = -60
Leading coefficient = 1
Thus the possible roots are
Thus from the given options the correct answers are -10,-5,3,15
Now For Part B we will use synthetic division
Out of the possible roots we will use the root which gives remainder 0 in synthetic division :
Since we can see in the figure With -5 we are getting 0 remainder.
Refer the attached figure
We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0. All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus the quotient is
And remainder is 0 .
So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting
Thus x-3 and x+4 are the other two factors
So , p(x)=(x+5)(x-3)(x+4)
Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:
As per the statement:
we have to find the average rate of change from x = -1 to x = 4
At x = -1
and
at x = 4
Substitute these in [1] we have;
⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1