Solve the quadratic equation by completing the square. x2+6x+7=0 First, choose the appropriate form and fill in the blanks with
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Answer:
<h3>The function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>Step-by-step explanation:
Given that "Naoya read a book at a rate of 55 pages per hour".
After reading book for 4 hours, he had 330 pages remaining to read.
In 4 hours, Naoya must read is given by
( by given)
From the given there were 330 pages remaining to read at the time,
The total number of pages is given by
=220+330
=550
<h3>∴ The total number of pages is 550 </h3>For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t
Let P(t) be the number of pages to read where P is a function of time t (measured in hours)
So the number of pages left to read is given by
P(t)=550-55t
P(t)=55(10-t)
<h3>∴ the function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and , we want to find a
such that
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that . Then
.
Then, if , then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that . Note that f(5)=14, so this proves that f is continous at x=5.