Answer:
2
−
9
x
Step-by-step explanation:
Answer: (x,y,z) = (-4,0,-2)
Step-by-step explanation:
Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence
</u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

We need to express r as an improper or proper fraction:

Substituting:



n=17
There are 17 terms in the sequence
The technology I used in helping me solve the problem is using Microsoft Excel. I made one column for the x values which were gathered from the choices, one column for f(x) whose equation is 8^(x-9), and another column for g(x) whose equation is log(3x) + 2.
Inputing these equation to the last two columns yield the values shown in the picture.The 'NUM' means that the equation at that value of x is undefined. From the values, the correct solution would be
(0,0), (9.2,1.5) and (9.6,3.5) to the f(x) equation
(9.6,3.5) to the g(x) equation
Hi there! The answer is 5/6 hours (which is 50 minutes)
To find the total time Ann spent on her papers, we must add the fractions.

In the first step, we had to make the denominators the same. We need to use the LCM of the numbers 2 and 3. LCM(2,3) = 6.
In the second step we added the fractions. Remember that we only need to add the numerators (the denominator remains the same).
~ Hope this helps you!