Answer:
Question 9: Variables: (smallest) s, q, r (largest)
Question 10: 5 whole numbers (7, 8, 9, 10, and 11)
Step-by-step explanation:
For question nine, there are two given statements... s=q-2 and q<r. Say we plug in 10000 (a really big #) in for q, then we would get s=9998 and r>10000. This way, we can see that s would be the smallest, then q, and r is the largest. <em>(q<r can be written as r>q)</em>
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For question 10, it states 
. This can be split into 
and 
. When x is 12 in the first equation then 
and when x is 6 in the second equation 
(0.5 is also 
). Therefore, x must be a whole number less than 12 and greater than 6, and it cannot be either 12 or 6. Whole numbers between 6 and 12 are 7, 8, 9, 10, and 11 or 5 whole numbers.
To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is
= t₁ + (n-1)d, with
being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what
is. When substituting, the equation becomes:
= 12 + 29(-6)
= -162
That means that the 30th term in this arithmetic sequence is
-162.
Be because I did this it’s just extremely hard to explain how to trust OK open helps
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