For the writing assignment, the number of ways of choosing from two essay topics three different mandatory lengths is given by:

Thus, he has 20 choices to make for the writing assignment.
For the reading assignment, the number of ways of choosing from <span>five biographies and three volumes of essays</span> is given by:
5 x 3 = 15
Therefore, the total number of choices is given by 6 + 15 = 21 choices.
Answer:
The function has at least 1 zero within the interval [-2,5].
Step-by-step explanation:
The intermediate value theorem states that, for a function continuous in a certain interval
, then the function takes any value between
and
at some point within that interval.
This theorem has an important consequence:
If a function
is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:
(or viceversa)
Then the function f(x) has at least one zero within the interval [a,b].
We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval
[-2,5]
And we also know that the function changes sign at the extreme points of the interval:

Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that

Answer:
x=30
Step-by-step explanation:
5=x/6
30=x
Olivia applied the scale factor to the measurements of the model she saw. We need to know those in order to calculate the new ones.
I’m not sure that question.... sorry