Answer:
for
, with
.
Step-by-step explanation:
To obtain x-intercepts, we need to give certain value, specifically
.
However, in case of a rational function, we must make sure that
doesn't makes the denominator null, beacuse in that case the function is undefined.
Therefore, for x-intercepts we must say
for
, with
.
Answer:
When dividing by 1000, move the decimal point three places to the left (the last one)
Step-by-step explanation:
Answer: C
The graph is continuous because there can be fractional values for time
Answer:
90 hardcover books
Step-by-step explanation:
We can solve this by setting up a couple of equations.
Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.
Using the information in the question, we can write the equations:
1)x = 4y-3
2) x+y=447
Let's rearrange equation 1 so that it is in standard form:
x-4y=-3
And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:
4(x+y=447)
4x+4y=1,788
Then we can add the two equations and solve for x:
1) x-4y=-3
+ 2)4x+4y=1,788
------------------------------------
5x=1,785
x=357
So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):
357+y=447
y=90
And now we know that Tim owns 90 hardcover books.