Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.
Raj and Nicole's polynomial expressions are added to
create a sum, written in standard form.
What can you determine about the degree of the sum?
The sum will be degree
Nicole writes a polynomial expression in standard form
using one variable, a, that has 3 terms and is degree 2.
What can you determine about the number of terms of
the sum?
The maximum number of terms of the sum is
1, but it could be less.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: 7

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!