The rule for g(x) is: 
Step-by-step explanation:
Given function is:
When a function f(x) is shifted right or left, b units the new function is written as:
Shifting right
Shifting left
Similarly, when shifting up or down
As our given function is shifted 3 units to the right, it will be written as:
The function is when moved down 3 units, then
Hence
The rule for g(x) is:
Keywords: Function transformation, Functions
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Part A:
Given that <span>e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.
The sum of two negative numbers gives a negative number.
Therefore, -e + f is negative.
</span>
<span>Part B:
Given that <span>e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive.
Also, since f < 0, this means that f is negative and -f is positive.
Recall that e - f = e + (-f)
The sum of two positive numbers gives a positive number.
Therefore, e - f is positive.
</span></span>
<span>Part C:
Given that <span>e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.
Recall that f - e = f + (-e)
The sum of two negative numbers gives a negative number.
Therefore, f - e is negative.</span></span>
Answer:
34/95
Step-by-step explanation:
Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.
Answer:
Step-by-step explanation:
1. Use the distributive property to write the problem without parentheses. The distributive property says that you can multiply a number next to parentheses by all the numbers inside parentheses. The picture below explains.
Therefore, your answer is
