Answer:
The parent function is f(x) = x
Step-by-step explanation:
This parent function represents all the positive and negative values for x and y.
The function f(x) = |x| represents all the positive and negative values for x and only the positive values for y.
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This sequence starts with an initial set; let’s call it s1. This set contains 20 cans, and every set following would have two less cans than the last set. So,
s1=20
s2=s1-2=18
s3=s2-2=16
•
•
•
s9=s8-2=4
How many cans in the display represents the value of each set added together, so we can denote this as
s1+s2+s3+...+s9
and replacing with values:
20+18+16+...+4 = 108
The number of cans in the display equals 108.
(The set notation seems weird, but by practicing this application now, the Calculus version will seem easier.)
Answer:
-13 yards
Step-by-step explanation:
Estimating that we start off on the middle line, we could solve this by simply looking at a number line. Moving 9 yards ahead would put us at 9. But moving back 22 would place us at a negative number. An easy way of doing this is subtracting 9 from 22:
22 - 9 = 13
But, we already know that since the answer is to the left of zero, it will be a negative number. So we flip the sign to get -13 yards.
Answer:
24
Step-by-step explanation:
